Date: May 14, 2023

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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?