Equivalent Fraction Worksheets - Free Printable

Let’s solve each problem step by step.

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Part A: Choose the correct equivalent fraction

We need to find which option is equal to the given fraction. We can do this by simplifying the original fraction or multiplying/dividing numerator and denominator by the same number.

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1) 2/16 = ?

Simplify 2/16 → divide top and bottom by 2 → 1/8

Check options:
a) 1/4 → no
b) 1/8 → YES ✔
c) 4/20 → simplify → 1/5 → no
d) 3/18 → simplify → 1/6 → no

✔ Answer: b) 1/8

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2) 1/3 = ?

Look for a fraction that equals 1/3.

Try cross-multiplying or simplifying options:

a) 3/15 → simplify → 1/5 → no
b) 2/14 → simplify → 1/7 → no
c) 8/24 → divide top and bottom by 8 → 1/3 → YES ✔
d) 5/10 → simplify → 1/2 → no

✔ Answer: c) 8/24

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3) 25/10 = ?

This is an improper fraction. Let’s simplify it.

Divide top and bottom by 5 → 5/2

Check options:
a) 5/2 → YES ✔
b) 10/16 → simplify → 5/8 → no
c) 1/5 → no
d) 30/20 → simplify → 3/2 → no

✔ Answer: a) 5/2

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4) 4/12 = ?

Simplify: divide top and bottom by 4 → 1/3? Wait — actually, divide by 4? 4÷4=1, 12÷4=3 → yes, 1/3.

But let’s check if any option equals 1/3.

Wait — maybe better to reduce by GCF (greatest common factor). GCF of 4 and 12 is 4 → 1/3.

Now check options:

a) 14/6 → too big → 7/3 → no
b) 3/18 → simplify → 1/6 → no
c) 1/2 → no
d) 6/18 → simplify → divide by 6 → 1/3 → YES ✔

Wait — 6/18 = 1/3, and 4/12 also = 1/3 → so they are equivalent.

✔ Answer: d) 6/18

*(Note: You could also multiply 4/12 by 1.5/1.5 → 6/18 — same thing.)*

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5) 36/45 = ?

Find GCF of 36 and 45 → both divisible by 9.

36 ÷ 9 = 4
45 ÷ 9 = 5
→ So 36/45 = 4/5

Check options:
a) 9/5 → no
b) 4/5 → YES ✔
c) 15/25 → simplify → 3/5 → no
d) 2/18 → 1/9 → no

✔ Answer: b) 4/5

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6) 3/18 = ?

Simplify: divide top and bottom by 3 → 1/6

Check options:
a) 5/30 → simplify → 1/6 → YES ✔
b) 1/9 → no
c) 4/16 → 1/4 → no
d) 1/2 → no

✔ Answer: a) 5/30

*(Because 5÷5=1, 30÷5=6 → 1/6)*

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Part B: Write any 3 equivalent fractions

To get equivalent fractions, multiply numerator and denominator by the same number.

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1) 7/4 = ?

Multiply by 2 → 14/8
Multiply by 3 → 21/12
Multiply by 4 → 28/16

So three equivalent fractions: 14/8, 21/12, 28/16

*(You can write them in any order.)*

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2) 1/6 = ?

Multiply by 2 → 2/12
Multiply by 3 → 3/18
Multiply by 4 → 4/24

Three equivalent fractions: 2/12, 3/18, 4/24

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3) 2/5 = ?

Multiply by 2 → 4/10
Multiply by 3 → 6/15
Multiply by 4 → 8/20

Three equivalent fractions: 4/10, 6/15, 8/20

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Final Answer:

Part A:
1) b) 1/8
2) c) 8/24
3) a) 5/2
4) d) 6/18
5) b) 4/5
6) a) 5/30

Part B:
1) 14/8, 21/12, 28/16
2) 2/12, 3/18, 4/24
3) 4/10, 6/15, 8/20