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Equivalent Fractions Using Multiplication
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Equivalent Fractions Using Multiplication
Make equivalent fractions by multiplying the numerator and denominator by the same number. Show your work where space is provided.
Build equivalent fractions
1.Complete the fraction: 2/7 = __/21. What number multiplies both parts of 2/7?
2.Complete the fraction: 3/8 = 12/__. What number multiplies both parts of 3/8?
3.Multiply the numerator and denominator of 4/9 by 2. Write the equivalent fraction.
4.Multiply the numerator and denominator of 5/6 by 3. Write the equivalent fraction.
5.Look at the fraction bar. What fraction of the bar is shaded? Write it as a fraction with 10 as the denominator.
6.Which fraction is equivalent to 3/5?
- 6/10
- 6/15
- 9/10
- 3/10
7.Select every fraction equivalent to 2/3.
- 4/6
- 6/9
- 8/12
- 4/9
- 10/15
Match and compare
8.Match each fraction with an equivalent fraction. Use each choice once.
- 1/4
- 3/5
- 2/3
- 3/4
- 4/7
- 9/12
- 12/21
- 2/8
- 6/10
- 8/12
9.The bar shows 3/4 shaded. Write an equivalent fraction with 8 equal parts in all.
Use equivalent fractions
10.On a mountain hike, Hannah has climbed 2/5 of the trail. Write this same amount with 25 as the denominator.
11.Jamal says 3/8 and 9/24 are equivalent. Is he correct? Show how multiplication can check his answer.
12.Zoe has walked 4/6 of a mountain trail. Write an equivalent fraction with a denominator of 18.
13.Explain why multiplying the numerator and denominator of a fraction by the same nonzero number keeps its value the same.
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