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Equivalent Fractions Multiplication

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Equivalent Fractions Multiplication

A hospital team is preparing supply kits. Use equivalent fractions and fraction multiplication to check portions and quantities. Show your steps, simplify answers when possible, and include units when needed.

A. Build Equivalent Fractions

Equivalent fractions name the same amount. Multiply or divide the numerator and denominator by the same nonzero number.

1.The team labels 2/5 of a box of masks for one station. Make an equivalent fraction by multiplying the numerator and denominator by 3: 2/5 = __/__. Show the multiplication you used.

2.Which fraction is equivalent to 3/4? Choose one answer.

6/10
9/12
4/6
12/20

3.A supply label shows 4/8 of a carton has been used. Select every fraction equivalent to 4/8: 1/2, 8/16, 2/3, 12/24.

1/2
8/16
2/3
12/24

4.Write three different fractions equivalent to 2/3. For each one, state the number you multiplied both the numerator and denominator by.

B. Multiply Portions

To multiply fractions, multiply the numerators and multiply the denominators. Then simplify if possible.

5.A nurse uses 1/3 of a pack of gauze, and 2/5 of that used portion is set aside. Calculate 1/3 × 2/5. Show the numerator and denominator products, then simplify if possible.

6.The team uses 3/4 of a roll of medical tape. Then 2/7 of the used amount is needed for a small task. Find 3/4 × 2/7.

7.A bottle is 5/6 full. Logan checks 3/10 of the liquid currently in the bottle. What fraction of the bottle's full capacity is that? Multiply and simplify.

8.True or false? Multiplying the numerator and denominator of a fraction by the same nonzero number makes an equivalent fraction. Explain your choice with an example.

9.A kit contains 4/6 of its planned items. Malik prepares 3/8 of that kit for a check. Calculate 4/6 × 3/8 and simplify. Then explain one way to simplify the calculation before multiplying.

10.A storage chart lists 5/10 of a supply as available. Choose one equivalent fraction, then multiply it by 2/3. Show the equivalent fraction and the product in simplest form.