Equivalent Fractions — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. 2/3 is equivalent to 6/9.
Tripling numerator and denominator of 2/3 produces 6/9, an equivalent fraction.
2. 4/5 is equivalent to 8/10.
Multiplying 4 and 5 each by 2 gives 8/10, which names the same amount as 4/5.
3. 1/2 is equivalent to 5/10.
To go from 1/2 to 5/?, multiply numerator by 5, so denominator must be 2 times 5 = 10.
4. 3/8 is equivalent to 6/16.
Multiplying numerator and denominator of 3/8 by 2 yields 6/16, an equivalent fraction.
5. To make 1/4 have a denominator of 8, multiply both parts by 2.
Multiplying numerator and denominator by 2 gives 2/8, equivalent to 1/4.
6. 5/8 is equivalent to 10/16.
Multiplying both parts of 5/8 by 2 produces 10/16, an equivalent fraction.
7. 2/4 is equivalent to 1/2 in simplest form.
2/4 simplifies to 1/2, the simplest equivalent fraction.
8. 6/8 simplifies to 3/4.
Both 6 and 8 share a factor of 2, so dividing yields 3/4 in simplest form.
9. 4/12 simplifies to 1/3.
Both 4 and 12 share a factor of 4, so dividing gives 1/3, the simplest equivalent.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
2/8
→ 1/4
3/5
3/9
→ 1/3
2/3
4/6
→ 2/3
1/4
6/10
→ 3/5
1/3
Each left fraction reduces to its matching simplest form on the right by dividing by the greatest common factor.