Fraction Word Problem: Multiplying Fractions & Rate (Spanish & English)

Sarah can walk at a rate of  1/25   mile per minute.  At that rate how far can she walk in an hour?


Sarah camina a razón de 1/25 milla por minuto. ¿A este paso, que distancia caminará en una hora?   

Answer:
2  2/5 miles

Fraction Word Problem: Multiplying Fractions (Spanish & English)

Rodney works at a computer repair store and repairs approximately 3 ½ computers per day.  At that rate, how many computers can he fix in a six day work week?


Rodney trabaja a una tienda de la reparación de las computadoras y repara aproximadamente 3 ½ horas por día. ¿A este paso, cuantas computadoras podría reparar en seis días?


Answer:
21 computers

Fraction Word Problems: Multiplying Fractions (Spanish & English)

The width of a patio is 10 ½  feet and the length is 15 feet.  What is the area of the patio?


La anchura de un patio es 10 ½ pies y la longitud es 15 pies. ¿Qué es el área del patio?


Answer:
157 1/2 feet squared

Fraction Word Problem: Adding Fractions (Spanish & English)

Libby wants to buy material to make a scarf in three different colors.  She wants to use  ¼  yard of red, 3  2/3  yard of green, and  1/6  yard of purple.  How much material will she purchase all together?


Libby quiere comprar material para crear una bufanda en tres colores diferentes. Quiere usar ¼ de una yarda de rojo, 3 2/3 de  una yarda de verde, y 1/6 de una yarda de morada. ¿Cuánta material debe comprar en total?


Answer:
4  1/12 yards

Fraction Word Problems: Dividing Fractions (Spanish & English)

The local TV station allows for  ¾  minute commercials.  If the advertising slot was 6 minutes for every 22 minutes of TV viewing, how many commercials could fit in a 6 minute block?


La estación de televisión local permite ¾ de un minuto comerciales. ¿Si el hueco de publicidad fuera seis minutos por cada 22  minutos de ver la televisión, cuantas comerciales encajarían en un bloque de seis minutos.


Answer:
8 commercials

Fraction Word Problems: Multiplying Fractions (Spanish & English)

Mrs. Smith owns 80 acres of land.  She sells  4/5  of her land.  How many acres does she sell?  How many acres does she still own after the sale?


Señora Smith posee 80 acres de la tierra. Ella vende 4/5 de su tierra. ¿Cuántas acres vende? ¿Cuántas acres todavía posee después de la venta?


Answer:
Sold 64 acres
Still owns 16 acres

Fraction Word Problem: Equivalent Fractions (Spanish & English)

Sally ate  3/12  of a sausage pizza and her sister ate  1/3  of a pizza.  Did they eat the same amount?


Sally comió 3/12 de una pizza de la salchicha y su

hermana comió 1/3 de la pizza/ ¿Qué cantidad de

la pizza comieron?



Answer:

No, they did not eat the same amount.

Fraction Word Problem: Multiplying Fractions (Spanish & English)

A cake recipe calls for 2 ¼  cups of flour.  How many cups of four would be needed to bake 3 ½ times the recipe?


Una receta del pastel necesita 2 ¼ tazas de harina. ¿Cuántas tazas necesitaría para hornear 3 ½ veces la receta?

Answer:
7   7/8 cups of flour

Fraction Word Problem: Multiplying Fractions (Spanish & English)

Sarah practiced piano for ¼ of an hour.  How many minutes is that?

Sarah practicó el piano por ¼ de una hora. ¿Cuántos minutos practicó?

Answer:
15 minutes

Fraction Word Problems: Multiplying Fractions (Spanish & English)

Emily worked at the local pizzeria for 4 ½  hours and earned $8 per hour.  How much did she get paid?


Emily trabaja a la pizzería local por 4 ½ horas y gana $8 por hora. ¿Cuánto dinero recibirá por su trabajo?

Answer:
$36

Fraction Word Problem: Multiplying Fractions (Spanish & English)

Dave wanted to finish reading his favorite book.  If his book was 240 pages in length and he completed 2/3 of the book, how many pages does he still need to read?


Dave quiso terminar su libro favorito. Su libro es 240 páginas en extensión y terminó 2/3 del libro. ¿Cuántas más páginas necesita todavía leer?


Answer:

80 pages

Fraction Word Problems: Mean- Average (Spanish & English)

Amanda has three adult children.  Susan is 5 ½  feet tall, Sarah is 6 1/3 feet tall, and Paul is 6 feet tall.  What is the average height of her children



Amanda tiene tres hijos que son adultos. Susan

tiene una altura de  5 ½ pies, Sarah tiene una

altura de 6 1/3 pies, y Paul tiene una altura de 6

pies. ¿Qué es el promedio de la altura sus hijos?
 


Answer:

5  17/18 feet

Fraction Word Problem: Porportion (Spanish & English)

If Roberta can type 65 words per minute, how many words can she type over a period of 2 ½  hours?


¿Si Roberta escribiera a máquina 65 palabras por minuto, cuántas palabras escribiría durante un rato de 2 ½ horas?


Answer:
9750 words

Fraction Word Problems: Porportion (Spanish & English)

The scale on a maps shows that 1 inch equals 22 miles.  If the distance between two cities is 3 ½  inches on a map, what is the actual distance rounded to the nearest mile?


La escala del mapa muestra que una pulgada iguala 22 millas. ¿Si la distancia entre dos ciudades fuera 3 ½ pulgadas en la mapa, qué estaría la distancia real redondeado a la más cerca milla?


Answer:
77 miles

Fraction Word Problem: Dividing Fractions (Spanish & English)

A water tank holds 198 gallons of water.  Peter wants to fill containers that hold exactly 5 ½  gallons.  How many can he fill?


Un depósito de agua contiene 198 gallones de agua. Pedro quieres llenar otros depósitos que contiene exactamente  5 ½ gallones. ¿Cuántos depósitos puede llenar?


Answer:
36 containers

Fraction Word Problem: Dividing Fractions (Spanish & English)

You have 9 cups of milk.  If your cake recipe calls for 1/3 cup of milk, what is the greatest number of cakes you could make with the amount of milk you have?



Tienes nueve tazas de leche. ¿Si tu receta de pastel necesitara  1/3 taza de leche, que es la máxima cantidad de pasteles que podría hacer con su cantidad de leche?


Answer:
27 cakes

Fraction Word Problem: Dividing Fractions (Spanish & English)

Karina is a florist and can put together a bouquet of flowers in ¾ of an hour.  If she works for 6 hours, how many bouquets can she assemble?


Karina es florista y puede armar un ramo de flores en ¾ de una hora. ¿Si ella trabajara por seis horas, cuantas ramos podría armar?

Answer:

8 flower bouquets

Fraction Word Problem: Multiplying Fractions (Spanish & English)

A recipe calls for 1 ½   cups of flour and you have 5 cups in your flour bin.  You are making a triple batch.  Will you have enough flour?  If you do, how much will be left in the bin?


Una receta necesita 1 ½ tazas de harina y tienes cinco tazas de harina. Quieres hacer un lote triple. ¿Tendrás bastante harina? ¿Si tuviera bastante, cuanta harina quedaría?


Answer:

Yes there will be enough flour, withh 1/2 cup left over.

Fraction Word Problem: Multiplying Fractions (Spanish & English)

If the measurements of a rectangle are the following:  length is 13 ½  feet and width is 10 ¼   feet find the area of the rectangle by multiplying the length by the width.


Los medidos de un rectángulo son los siguientes: la longitud es 13 ½ pies y el ancho es 10 ¼ pies. Calcule el área del rectángulo por multiplicar la longitud y el ancho.


Answer:

138  3/8 square feet

 

Fraction Word Problem: Multiplying Fractions (Spanish & English)

The local church ordered 36 reams of paper.  If only ¼ of the order arrived, how many reams of paper did they receive?


La iglesia local pedio 36 resmas de papel. ¿Si solamente ¼ de su orden llegara, cuantas más de las resmas del papel recibiría la iglesia?


Answer:

9 reams of paper

Fraction Word Problem: Multiplying Fractions (Spanish & English)

Last year Dan earned $ 36, 570.  At the end of the year he earned a bonus equal to 1/12  of his income.  How much was Dan’s bonus rounded to the nearest dollar?


El año pasado Dan ganó $36, 570. Al fin del año él ganó una bonificación que es igual a 1/12 de su ingreso. ¿Qué es su bonificación redondeado a la más cerca dólar?


Answer:

$3048

 

Fraction Word Problem: Multiplying Fractions (Spanish & English)

A bookstore has a stack of 30 books.  Each book is 1 1/3 inches thick.  What is the height of the stack?


Una librería tiene una pila de 30 libros. Cada libro tiene 1 1/3 pulgadas en espesor. ¿Qué es la altura de la pila?

 

Answer:

40  inches

Fraction Word Problem: Adding Fractions (Spanish & English)

A recipe calls for 2 ½ cups of milk, 1 1/3 cup of hot water, and ¼ cup of oil.  What is the total amount of liquid used in the recipe?

Una receta necesita  2 ½ tazas de leche, 1 1/3 taza de agua caliente, y ¼ taza de aceite. ¿Qué es la cantidad total de líquido que la receta usa?


Answer:

4 1/12 cups

Fraction Word Problem: Subtracting Fractions (Spanish & English)

Sue has a ribbon that is 27 inches long and needs to be shortened to 15 1/3 inches.  How much should she cut off?

Sue tiene una cinta que es 27 pulgadas largo y necesita estar cortado a 15 1/3 pulgadas. ¿Cuánta debe Sue cortar?


Answer:

11 2/3 inches

Fraction Word Problem: Subtracting Fractions (Spanish & English)

Dan estimated he would need 45 square feet of carpet for his home project.  If the job only required 36 ½ square feet, by how much did he exceed his estimate?


Dan estimó que necesitaría 45 pies cuadrados de alfombra por su proyecto de la casa. ¿Si el trabajo solamente requiriera 36 ½ pies cuadrados,  cuánta más excedería su estimación?

Answer:
8 2/3 square feet

Fraction Word Problem: Multiplying Fractions (Spanish & English)

A bookstore has a stack of 30 books.  Each book is 1  1/3inches thick.  What is the height of the stack?

Una librería tiene una pila de 30 libros. Cada libro tiene 1 1/3 pulgadas en espesor. ¿Qué es la altura de la pila?

Answer:

40 inches

Fraction Word Problem: Subtracting Fractions (Spanish & English)

Jane gets 8 vacation days per year.  If she already used 3 ½, how many does she have left?


Jane recibe ocho días de vacación por año. ¿Si ella ya usara 3 ½ de sus días, cuantas días tendría todavía?


Answer:

4 1/2

Fraction Word Problem: Multiplying Fractions (Spanish & English)

A bookstore has a stack of 30 books.  Each book is 1 1/3 thick.  What is the height of the stack?


Una librería tiene una pila de 30 libros. Cada libro tiene 1 1/3 pulgadas en espesor. ¿Qué es la altura de la pila?


Answer:

40 inches

Fraction Word Problem: Subtracting Fractions (Spanish & English)

George can work up to 13 hours per week.  If George has already worked 4 ¼  hours this week, how many more hours can he work?


George puede trabajar por un máximo de 13 horas por semana. ¿Si George ya trabajara por 4 ¼ horas esta semana, cuantas más horas podría trabajar?


Answer:

8 3/4 hours

Fraction Word Problem: Subtracting Fractions (Spanish & English)

Peter is 5 ¼ feet tall and his younger brother is 3 1/3.  How much taller is Peter than his younger brother?
 
 
Pedro tiene una altura de 5 ¼ pies y su hermanito tiene una altura de 3 1/3. ¿Cuánto más alto es Pedro que su hermanito?


Answer:

1 11/12 feet

Fraction Word Problem: Adding Fractions (Spanish & English)

Dave walked 2 ½ miles work and back again on Monday.  On Tuesday he walked 1  1/3 miles to the grocery store.  How far did Dave walk in those two days?


Dave caminó 2 ½ millas a su trabajo y de regreso lunes. Martes él caminó 1 1/3 millas a la tienda de comestibles. ¿Cuántas millas caminó durante los dos días?


Answer:

6 1/3 miles

Fraction Word Problem: Adding Fractions (Spanish & English)

Jenni spends 1/4 of her income on rent, 1/6 of her income on gas, and 1/8 of her income on food.  What fraction of her income does she spend on these three items?

Jenni gastó ¼ de su ingreso en alquilar, 1/6 de su ingreso en gasolina, y 1/8 de su ingreso en comida. ¿Cuál es la fracción de su ingreso que ella gastó en esas tres cosas?


Answer:
13/24

Fraction Word Problems: Porportion (Spanish & English)

Mr. Smith bought six gallons of paint for $138.  How much will 10 gallons of paint cost?


Señor Smith compró seis gallones de pintura por $138. ¿Cuánto costará por 10 gallones?


Answer:

$230

Fraction Word Problem: Porportion (Spanish & English)

If the student to teacher ratio is 18 to 1, how many teachers will be needed in a school of 270 children?



Si la proporción entre estudiantes y maestros es 18:1, ¿Cuántos maestras estaría necesario en una escuela de 270 estudiantes?


Answer:

15 teachers

Fraction Word Problem: Porportion (Spanish & English)

Sarah has a recipe that will serve 5 people and calls for 2 eggs.  How many eggs will she need for 15 people?



Sarah tiene una receta que servirá cinco personas y necesita dos huevos. ¿Cuántos huevos necesitará por 15 personas?



Answer:

6 eggs

Fraction Word Problem: Porportion (Spanish & English)

Wayne drove 126 miles on 2 gallons of gas.  How far can he drive on 15 gallons of gas?



Wayne manejó 126 millas con 2 gallones de gasolina. ¿Cuántas millas pudría manejar con 15 gallones de gasolina?



Answer:

945 miles

Fraction Word Problem: Unit Rate (Spanish & English)

Peter earned $525 in 15 hours.  How much did he earn per hour?


Pedro ganó $525 en 15 horas. ¿Cuánto ganó por hora?


Answer: 

$35 per hour

Fraction Word Problem: Unit Rate (Spanish & English)

Carol has been counting calories.  On Tuesday she ate two servings of beans and rice.  If there was 676 calories in 2 servings, what is the unit rate of calories per serving?


Carol ha contado calorías. Martes ella comió dos porciones de frijoles y arroz. ¿Si hubiera 676 calorías en dos porciones, cuál sería la proporción de unidad de calorías por porción?


Answer:

338 calories per serving

Fraction Word Problem: Ratio (Spanish & English)

On a test, Harrison answered 18 questions correctly and 2 incorrectly.  What is the ratio of correct questions to total questions?


Por la examen, Harrison contestó 18 de las preguntas correctamente y 2 incorrectamente. ¿Cuál es la proporción entre las preguntas correctas y las preguntas en total?


Answer:

9/10  ;  Harrison answered nine questions correctly for every ten questions he answered.

Fraction Word Problem: Ratio (Spanish & English)

Step-Up Manufacturing has a total of 36 employees.  Of those 36 employees, 15 are women.  What is the ratio of the number of men employees to the total number of employees?


Step-Up Fabricación tiene 36 empleados en total. De los 36 empleados, 15 son mujeres. ¿Cuál es la proporción entre el número de los hombres y el número de los empleados en total?


Answer:

7/12 ;  There are seven men for every twelve employees.

Fraction Word Problem: Ratio (Spanish & English)

Brown Manufacturing has a total of 136 employees.  Of those 136 employees, 64 are men.  What is the ratio of the number of men to the number of women employees?


La Fabricación de Brown tiene 136 empleados en total. De los 136 empleados, 64 son hombres. ¿Cuál es la proporción entre el número de los hombres y el número de las mujeres?


Answer:

8/9  ;  There are eight men for every 9 women.

Fraction Word Problem: Ratio (Spanish & English)

Jose worked 6 hours on Monday.  If he worked a total of 40 hours for the week, what fraction of the time did he work on Monday?


José trabajó por seis horas lunes. ¿Si él trabajara por 40 horas durante la semana, cuál estaría la fracción del tiempo que trabajó lunes?


Answer:

3/20

Fraction Lesson 5: Adding and Subtracting Mixed Number Fractions

Fraction Lesson 5:  Adding and Subtracting Mixed Number Fractions

 

Part one:  Begin with viewing a video on Adding and Subtracting Mixed Number Fractions.  "Title:  Adding Mixed Number Fractions Part 1" is not only a great video on how to add mixed number fractions, but it is also a great review reminding students that you need a common denominator before you add fractions.  If you are looking for a Spanish Video, check out math2me.com and view the video titled, "Suma y resta de fracciones con diferente denominador".  Also a great video for students needing a review.

 

**Note: You are NOT downloading the video.

Part two:  Demonstrate to students how to add and subtract mixed number problems.  The problem most difficult for most students to understand is when you have to borrow when you subtract. Check out www.worksheetsdirect.com for worksheets.  Find a great book and work through adding and subtracting application problems.  You can also click on the label located within this blog, fraction word problems,where you will find many GED math problems in both English and Spanish.  Check back often as more are being added all the time.

Part three:  Its always good to give students some worksheets that they can take home with them.  The following worksheets not only have the problems, but also the answer key.

Worksheet:  Adding Mixed Number Fractions
Worksheet:  Subtracting Mixed Number Fractions

 

***********************

Fraction Lesson 1:  Introduction to Fractions

Part one: To begin our lesson today (1st lesson), the students and I viewed a short 7-9 minute video on the vocabulary they will need to understand when learning fractions. The video is titled, "Title: Fraction Vocabulary" and can be found on www.worksheetsdirect.com. If you decide to use the video, be sure to scroll down to the video and click on the arrow to begin.

**Note: You are NOT downloading the video.

As you and the students view the video, remind them that the video's purpose is to introduce them to the vocabulary that will be needed as they learn fractions. There are LOTS of information in the video and the students might think they need to learn all of it at once. It is a great overview of what will be learned in the upcoming lessons!

Part two:In addition to learning fraction vocabulary, I introduced the different types of fractions as well as how to change back and forth between improper fractions and mixed numbers. I use Steck Vaughn's GED math book, but if you don't have that book... there are many others that would work as well.

As homework I printed off copies of the following to be done at home. Each worksheet had the problems on the front page and the answers on the back.

→ Vocabulary Crossword Puzzle Worksheet
→ Changing From Improper Fractions to Mixed Numbers
→ Changing from Mixed Numbers to Improper Fractions


Total lesson time: 1 hour

Fraction Word Problem: Ratio (Spanish & English)

Susan has $105 in her savings.  She withdrew $35.  Of the amount Susan withdrew, she used $30 to buy a new sweater.  What fraction of the withdrawal did she spend on her new sweater?


Susana tiene $105 en sus ahorros. Ella sacó $35 de sus ahorros. De la suma que Susan sacó, usó $30 para comprar un suéter. ¿Cuál es la fracción de sus ahorros originales que ella gastó en su suéter nuevo?


Answer: 

$6/$7

Fraction Word Problem: Ratio (Spanish & English)

Of the 21 students in the class, 15 are boys.  What fraction of the students are girls?



De los 21 estudiantes en la clase, 15 son chicos. ¿Cuál es la fracción de los estudiantes quienes son chicos?


Answer:

2/7 ;  two out of seven students are girls

Fraction Word Problem: Ratio (Spanish & English)

Of the 15 students in the class, 10 are girls.  What fraction of the students are girls?


De los 15 estudiantes en la clase, 10 son chicas. ¿Cuál es la fracción de los estudiantes quienes son chicas?



Answer: 

2/5 ;  two out of five students are girls

Division Skills (Basic and Long Division) Worksheets for GED Math Help

simple divison worksheet

When I ask the adult learners I work with if they know their basic division facts, many of them will tell me that they know some..... but they definitely need to review. 

Unless a learner knows their simple division facts, they will have a hard time understanding and learning their multiplication facts.  They will also have a hard time performing double digit division.
If you have a learner who is struggeling with their division facts and long divison, find some free printable division worksheets.  Start out with the basic division facts and once they have mastered those, move on to simple divison with remainders.  Until your learner can master their basic divison facts and simple division with and without remainders, you should not move on to more difficult long division problems.  However, as their parent, teacher, or tutor.... you will know when the time is right.




long division worksheets 

Division worksheets with the answer keys included is a great way for learners to gain some confidence by self correcting.  Of course, you as the teacher/tutor will need to determine if your learners should self correct.

I have found a simple way for learners to remember the steps in long division.  I have them think of a family... perhaps it is not the structure of their family... but some famililies.


Dad >>>>>>>>>>Divide
Mother>>>>>>>>Multiply
Sister>>>>>>>>>Subtract
Brother>>>>>>>>Bring Down
Rover (pet)>>>>>Remainder

Following these steps may help your student learn how to perform long division problems. Be sure to practice long divison with remainders and long division without remainders.