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Equivalent Fractions Practice
Equivalent fractions name the same amount in different ways, like 1/2, 2/4 and 4/8. You make one by multiplying (or dividing) the top and bottom by the same number.
For: Grade 3 and 4 students, plus anyone reviewing fractions.
The rules
- Multiply the numerator and denominator by the same number to get an equivalent fraction.
- Divide the numerator and denominator by a common factor to get a simpler equivalent fraction.
- To check if two fractions are equivalent, cross-multiply: a/b = c/d when a × d = b × c.
Worked examples
Example 1: Find two fractions equivalent to 2/3
- Multiply top and bottom by 2: 4/6.
- Multiply top and bottom by 3: 6/9.
Answer: 4/6 and 6/9 (many others work too)
Example 2: Fill in the blank: 3/4 = ?/20
- 4 × 5 = 20, so the bottom was multiplied by 5.
- Multiply the top by 5 too: 3 × 5 = 15.
Answer: 15/20
Example 3: Are 4/6 and 6/9 equivalent?
- Cross-multiply: 4 × 9 = 36 and 6 × 6 = 36.
- The products are equal.
Answer: Yes, both equal 2/3
Practice problems
- 1/2 = ?/10
- 2/5 = 6/?
- Is 3/8 equivalent to 6/16?
- 12/18 in simplest form
- 5/6 = ?/24
Show answers
- 5
- 15
- Yes
- 2/3
- 20
Frequently asked questions
What is an equivalent fraction?
A fraction that shows the same amount as another fraction, even though the numbers are different, like 1/2 and 3/6.
How do you find equivalent fractions?
Multiply or divide both the numerator and the denominator by the same non-zero number.
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