Date: May 14, 2023

# Worksheet

## Part 1:

1. Multiply the following fractions:

a) 2/3 x 4/5

b) 5/6 x 3/4

c) 1/2 x 2/3

d) 3/4 x 2/5

e) 4/7 x 3/8

f) 1/3 x 2/5 x 3/4

2. Simplify the following products:

a) 6/7 x 4/5

b) 3/4 x 8/9

c) 2/5 x 5/6

d) 7/8 x 2/3

e) 3/5 x 1/2

f) 4/9 x 3/5 x 2/7

## Part 2: Word Problems

1. John ate 2/3 of a pizza and his friend ate 1/4 of the same pizza. What fraction of the pizza was eaten altogether?

2. A recipe for a cake calls for 3/4 cup of sugar. If you want to make half the recipe, how much sugar will you need?

3. A rectangular field is 3/4 mile long and 1/2 mile wide. What is the area of the field?

4. A pizza parlor makes 5/8 of a pizza in 5 minutes. How long will it take to make a whole pizza?

5. A recipe calls for 2/3 cup of flour and you want to make 1 1/2 times the recipe. How much flour will you need?

## Part 3: Application Problems

1. A bakery uses 2/3 cup of honey for every batch of 24 muffins. How much honey will the bakery need for 96 muffins?

2. A car travels 1 1/2 miles in 3/4 of an hour. How far will the car travel in 2 hours?

3. A factory produces 1 2/3 tons of steel in 3/4 of a day. How much steel will the factory produce in 1 1/2 days?

4. A construction worker needs 2 3/4 yards of fabric to sew a curtain. If the worker has 3 1/2 yards of fabric, how many curtains can be made?

5. A school has a garden that is 2/5 of a mile long and 1/4 of a mile wide. What is the area of the garden?

## Part 4: Challenge Problems

1. Simplify the following product:

(2/3 x 5/4) ÷ (3/5 x 4/7)

2. Simplify the following product:

(1/2 x 2/3 x 3/4) ÷ (2/5 x 5/7 x 7/8)

3. A recipe calls for 3/4 cup of sugar and 1/2 cup of butter. If you want to make twice the recipe, how much sugar and butter will you need?

4. A factory produces 1 3/4 tons of steel in 1/3 of a day. How much steel will the factory produce in 5 days?

5. A pizza parlor makes 5/8 of a pizza in 5 minutes. How many pizzas can the parlor make in 2 hours and 30 minutes?