Podcast
Questions and Answers
What is the equivalent fraction of 4/8?
What is the equivalent fraction of 4/8?
How can 5/6 be decomposed into a sum of two fractions?
How can 5/6 be decomposed into a sum of two fractions?
What is the result of 2 1/4 + 1 3/4?
What is the result of 2 1/4 + 1 3/4?
Calculate 3 × 1/4.
Calculate 3 × 1/4.
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What is the improper fraction equivalent to 4 3/4?
What is the improper fraction equivalent to 4 3/4?
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Multiply 4 by 2 2/3.
Multiply 4 by 2 2/3.
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What is the sum of 1/2 and 3/4?
What is the sum of 1/2 and 3/4?
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How can 6/7 be decomposed into a sum of two fractions?
How can 6/7 be decomposed into a sum of two fractions?
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What is the result of subtracting 1 2/5 from 2?
What is the result of subtracting 1 2/5 from 2?
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What is the equivalent fraction of 4/9 with a denominator of 27?
What is the equivalent fraction of 4/9 with a denominator of 27?
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What is the result of adding 1 2/3 and 2 1/3?
What is the result of adding 1 2/3 and 2 1/3?
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How do you express 2 1/2 as an improper fraction?
How do you express 2 1/2 as an improper fraction?
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Study Notes
Equivalent Fractions
- An equivalent fraction of 2/4 is 1/2.
- 3/5 is equivalent to 6/10, 9/15, 12/20, or 15/25.
- 1/3 can be expressed as 3/9 with a denominator of 9.
Decomposing Fractions
- 7/8 can be decomposed into 3/8 + 4/8 or 1/8 + 6/8 or 2/8 + 5/8.
- 5/6 can be expressed as a sum of two fractions with a common denominator: 1/6 + 4/6 or 2/6 + 3/6 or 3/6 + 2/6.
Add and Subtract Fractions with Like Denominators
- 2/3 + 1/3 = 3/3.
- 4/5 - 2/5 = 2/5.
Add and Subtract Mixed Numbers with Like Denominators
- 2 1/4 + 1 3/4 = 3 1/2 or 4 1/2.
- 5 3/5 - 3 2/5 = 2 or 2 1/5.
Multiply Whole Numbers and Fractions
- 3 × 1/4 = 3/4.
- 5 × 2/3 = 10/3 or 3 1/3.
Multiply Whole Numbers with Mixed Numbers
- 2 × 1 1/2 = 3 or 3 1/2.
- 4 × 2 2/3 = 10 2/3 or 8 2/3 or 6 2/3.
Change Mixed Numbers into Improper Fractions
- 3 1/2 = 7/2.
- 4 3/4 = 19/4.
Change Improper Fractions to Mixed Numbers
- 9/4 = 2 1/4.
- 7/3 = 2 1/3.
General Fraction Operations
- 1/2 + 3/4 = 5/8 or 1 1/4.
- 6/7 can be decomposed into 3/7 + 3/7 or 2/7 + 4/7 or 1/7 + 5/7.
- 2 1/3 × 3 = 6 1/3 or 7 2/3.
- 2 - 1 2/5 = 1 3/5 or 3/5.
- 5/6 = 1 1/6.
- 4/9 with a denominator of 27 is equivalent to 12/27.
- 1 2/3 + 2 1/3 = 3 1/3 or 4.
- 4/5 - 3/5 = 1/5.
- 7/4 = 1 3/4.
- 5/6 × 2 = 10/6 or 5/3.
- 2 1/2 = 5/2.
- 4 - 3 1/4 = 3/4 or 3 3/4.
- 3 × 1 2/3 = 4 2/3 or 5.
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Description
Test your knowledge of equivalent fractions and decomposing fractions with this quiz designed for Grade 4 students. Practice simplifying fractions and decomposing them into sums of two fractions.
