Equivalent Fractions — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. Multiply both top and bottom of 1/3 by 2 to get 2/6.
Multiplying numerator and denominator by the same number gives an equivalent fraction.
2. If 1/2 = 3/6, the missing denominator is what number?
To go from 1/2 to 3/?, multiply numerator by 3, so denominator must also be 2 times 3 = 6.
3. Multiply 2/5 by 3/3 to get 6/15.
Multiplying both parts of 2/5 by 3 gives 6/15, an equivalent fraction.
4. 1/4 is equivalent to 3/12.
Tripling numerator and denominator of 1/4 produces 3/12, an equivalent fraction.
5. 3/5 is equivalent to 6/10.
Multiplying 3 and 5 each by 2 gives 6/10, which names the same amount as 3/5.
6. To make 2/3 have a denominator of 12, multiply both numbers by 4.
Since 3 times 4 is 12, multiplying numerator and denominator by 4 yields 8/12.
7. 5/6 is equivalent to 10/12.
Multiplying 5 and 6 each by 2 produces 10/12, an equivalent fraction.
8. 1/5 is equivalent to 2/10.
Multiplying numerator and denominator of 1/5 by 2 gives 2/10, an equivalent fraction.
9. 3/4 is equivalent to 9/12.
To go from 3 to 9 in the numerator, multiply by 3, so denominator becomes 4 times 3 = 12.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
1/2
→ 4/8
6/8
1/3
→ 2/6
2/6
2/5
→ 4/10
4/10
3/4
→ 6/8
4/8
Each pair on the right is the equivalent fraction formed by multiplying both parts of the left fraction by 2.