Date: May 14, 2023

# Multiplying Fractions by Whole Numbers Worksheet Test

Instructions: Solve the following problems and write the answers in the space provided.

1. Multiply the whole number by the numerator of the fraction:
a) 3 x 2/5 =
b) 6 x 3/4 =
c) 7 x 1/3 =

2. Multiply the whole number by the fraction and simplify if possible:
a) 4 x 2/3 =
b) 9 x 1/2 =
c) 2 x 3/8 =

3. Find the product of the fractions and the whole number:
a) 5 x 2/3 x 1/4 =
b) 3 x 3/4 x 1/5 =
c) 2 x 1/2 x 2/3 =

4. Solve the following word problems:
a) If John eats 1/4 of a pizza every day, how much pizza will he eat in 5 days if he continues to eat the same amount each day and the pizza has 8 slices?
b) A recipe calls for 3/4 cups of flour to make 12 cookies. How much flour is needed to make 24 cookies?
c) If a car travels 3/4 of a mile every minute, how far will it travel in 5 minutes?

5. Find the missing number:
a) 4/5 x ? = 8/15
b) ? x 3/4 = 6/5
c) 2/3 x ? = 3/4 x 12

6. Simplify the following expressions:
a) 4/5 x 5/7
b) 3/4 x 8/9
c) 7/8 x 2/7

7. Find the product and simplify if possible:
a) 2 x 3/4 x 5/6
b) 3 x 2/5 x 4/7
c) 4 x 2/3 x 3/8

8. Find the product and express the answer as a mixed number:
a) 5 x 2/3
b) 7 x 3/4
c) 6 x 5/6

9. Find the product and express the answer as a fraction in simplest form:
a) 2/3 x 4 x 1/5
b) 1/4 x 2 x 3/5
c) 3/5 x 1/2 x 4

10. Solve the word problems and express the answer as a mixed number or a fraction in simplest form:
a) Tom has a 1/2-pound bag of candy. If he eats 1/4 of the bag, how much candy is left in the bag?
b) A recipe calls for 2/3 cup of sugar to make 8 cookies. How much sugar do you need to make 24 cookies?
c) If a car travels 2/3 of a mile every minute, how far will it travel in 8 minutes?

Bonus Question:

1. Solve the following equation for x:
3/4 x 5/6 = 1/2 x

Good Luck!