Arithmetic Reasoning - Fraction

A bread recipe calls for 3 & 1/4 cups of flour. If you only have 2 & 1/8 cups, how much more flour is needed?

1 & 1/4

Miguel passed seven of his history-class quizzes and failed three. The fraction of quizzes he passed is CORRECTLY expressed as _________.

7/10

Theodore has 20 baseball cards. He sells 1/4 of his cards to Tom, 1/3 of his cards to Larry, and his Mom accidentally throws away 1/6 of his cards. How many baseball cards does Theodore have left?

5

Kevin and Kara are in a pancake-eating contest. Kevin can eat three pancakes per minute, while Kara can eat 3 & 1/2 pancakes per minute. How many total pancakes can they eat in 10 minutes?

65 pancakes.

defines which of the following?

Distributive property for division.

There are 72 freshmen in the band. If freshmen make up 1/3 of the entire band, the total number of students in the band is _________.

216

If each book's weight is 1/3 pounds, how many paperback books together weigh 25 pounds?

75

Janet is trying to watch her weight. A 1/2 cup of pudding has 150 calories. The same amount of broccoli has 60 calories. How much broccoli can Janet eat to equal the same number of calories in the 1/2 cup of pudding?

1 & 1/4 cups.

Davis donates 4/13 of his paycheck to his favorite charity. If he donates $26.80, what is the amount of his paycheck?

$87.10

If a gas tank can hold 30 gallons, how many gallons does it contain when it is three-fifths full?

18

The sum of 2 feet 2 & 1/2 inches, 4 feet 3 & 3/8 inches, and 3 feet 9 & 3/4 inches is _________.

10 feet 3 & 5/8 inches.

A 3-yard-long ribbon was used to trim four dresses. Each dress used the same amount of ribbon. How much ribbon was used for each dress?

3/4 yard.

2/4 + 6/8 = _________

5/4

Of 1,000 dogs, 72% are male. Among the males, 3 out of 5 were over the age of 5. How many of the dogs were males over the age of 5?

432

Sandy bought 4 &1/2 pounds of apples and six kiwi fruits. Brandon bought 3 & 1/4 pounds of apples and nine kiwi fruits. If apples cost $1.39 per pound and kiwis are two for $1.00, how much more money did Sandy spend than Brandon?

$0.24

A recipe calls for 3 cups of wheat and white flour combined. If 3/8 of this recipe is wheat flour, how many cups of white flour are needed?

1 & 7/8

If b does not equal zero, and ab = b/4, what is the value of a?

1/4

A baker made 20 pies. A Boy Scout troop buys one-fourth of his pies, then a preschool teacher buys one-third of his remaining pies, then a caterer buys half of his remaining pies. How many pies does the baker have left?

5

One-eighth of a bookstore’s magazines are sold on a Friday. If 1/4 of the remaining magazines are sold the next day, what fractional part of the magazines remains at the end of the second day?

21/32

In a nut mixture, there are 1 & 1/8 pounds of almonds, 2 & 3/4 pounds of cashews, and 3 & 1/3 pounds of peanuts. The total weight of the mixture is _________.

7 & 5/24 pounds.

Jack lives 6 & 1/2 miles from the library. If he walks 1/3 of the way and takes a break, what is the remaining distance to the library?

4 & 1/3 miles.

A stack of bricks is 3 & 1/2 feet high. If each brick is 1 3/4 inches high, how many bricks are in the stack?

24

A barrel holds 60 gallons of water. If a crack in the barrel causes 1/2 gallon to leak out each day, how many gallons of water remain after 2 weeks?

53

Convert 0.23 to a fraction.

23/100

Devin throws a football 7 and 1/3 yards. Carl throws it 2 and 1/2 times farther. How many more yards does Carl’s throw travel than Devin’s?

11 yards.

Joann eats 1/4 of a peach pie and divides the remainder of the pie among her four friends. What fraction of the pie does each of her friends receive?

3/16

A contractor agreed to paint a house for $2,500. If the contractor worked only 2/3 of the planned time and is paid in proportion to the time worked, how much should the contractor be paid?

$1,666.67

A recipe calls for 3/5 cup of sugar, but Mike wants to make 1/2 of the recipe. How much sugar does Mike need in cups?

3/10 cup.

A recipe requires 3/4 cup of flour. If Lily wants to make 1/3 of the recipe, how much flour does she need, in cups?

1/4 cup.

A pizza is divided into 8 slices. If Sarah eats 3/4 of the pizza and then divides the remaining slices equally between herself and her friend, how many slices does each person get?

1 slice per person.

Rachel ran 7/8 of a mile, then walked 1/4 of a mile. What fraction of a mile did Rachel travel in total?

9/8 miles.

John has 1/2 gallon of juice. He drinks 1/4 of the juice. How much juice does he have left?

3/8 gallon.

Solve the following expression:

5/6

Simplify the following expression:

11/20

A store sells 1/3 pound of rice for $2.50. If Kara buys 2 pounds of rice, how much does she pay?

$15

Mary bought 3/4 yard of fabric, but used 2/5 of it to make a dress. How much fabric did Mary have left in yards?

9/20 yard.

A tank is 5/6 full of water. If 1/3 of the water is poured out, what fraction of the tank is now full of water?

5/9

A recipe calls for 2 & 1/4 cups of flour to make one loaf of bread. If you want to bake 5 loaves for a bake sale, how many cups of flour will you need in total?

11 & 1/4 cups.

A lemonade recipe requires 1/3 cup of lemon juice per serving. If you want to make 8 servings, how many cups of lemon juice will you need?

8/3 or 2 & 2/3 cups.

A piece of fabric is cut into thirds. If two-thirds of the fabric is used to make a dress, and half of the remaining fabric is used to make a scarf, what fraction of the original fabric is left?

1/6

If Susan used 2/3 of a tank of gas on a trip, and then used 1/4 of the remaining gas left in the tank, what fraction of a full tank remains?

1/4

If John has 2/3 of a candy bar and he wants to share it equally among 4 friends, how much candy will each friend receive?

1/6

If 3/8 of a bag of marbles is blue and 1/2 of the blue marbles are shiny, what fraction of the bag is shiny blue marbles?

3/16

If 1/4 of a garden is planted with roses, and 2/5 of the rose area is red roses, what fraction of the garden is planted with red roses?

1/10

If 1/5 of a pizza is cheese, and 2/3 of the cheese portion is mozzarella, what fraction of the pizza is mozzarella cheese?

2/15

If 4/7 of a box of pens are black and 2/3 of the black pens have blue ink, what fraction of the box is black pens with blue ink?

8/21

An apple pie recipe calls for 3/4 cup of sugar. If you want to make 4 apple pies for a party, how many cups of sugar will you need in total?

3 cups.

If 3/5 of a cake is chocolate and 1/4 of the chocolate portion is dark chocolate, what fraction of the cake is dark chocolate?

3/20

Simplify the fraction: 36/48

3/4

If you divide 3/5 by 1/4 and then multiply the result by 2/3, what is the final fraction?

8/5

Which fraction is larger: 5/8 or 3/4?

3/4

John can paint a fence in 4 & 1/2 hours. If he works with his friend who paints twice as fast, how long will it take for them to paint the same fence together?

3/2 hours.

A recipe calls for 2/3 cup of flour to make a batch of cookies. If you want to make double the batch, how many cups of flour do you need in total?

1 & 1/3 cups.

A recipe requires 3/4 cup of sugar. If you only have a 1/4 cup measuring spoon, how many times do you need to fill it to get the correct amount of sugar?

3 times.

Sara spent 1/3 of her salary on groceries and 2/5 of the remaining on clothes. If she had $200 left after shopping, how much was her total salary?

$500

A bookshelf has 5 shelves, each of which is 4/7 full of books. If each shelf can hold 35 books when full, how many books are there in total on the bookshelf?

100 books.

A fruit salad recipe requires 3/8 cup of apple slices, 1/4 cup of strawberries, and 2/5 cup of bananas. If you want to make 3 times the recipe, how many cups of fruit in total do you need?

3 & 3/40 cups.

A construction project requires 5/6 of a tank of cement to complete. If each tank holds 4 & 1/2 cubic yards of cement, how many cubic yards of cement are needed for the entire project?

3 & 3/4 cubic yards.

If 2/5 of a field is planted with corn, 1/4 with wheat, and the rest with barley, what fraction of the field is planted with barley?

7/20