Let's solve each of these equivalent fraction problems step by step. The goal is to
fill in the missing half of each fraction so that both sides are
equivalent (equal in value).
We'll use the concept of
equivalent fractions:
To make two fractions equal, you can multiply or divide both the numerator and denominator by the same number.
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1. $\frac{3}{9} = \frac{?}{3}$
Simplify $\frac{3}{9} = \frac{1}{3}$, so:
- $\frac{1}{3} = \frac{?}{3}$ → numerator must be
1
✔ Answer:
1
---
2. $\frac{4}{18} = \frac{?}{9}$
Simplify $\frac{4}{18} = \frac{2}{9}$, so:
- $\frac{2}{9} = \frac{?}{9}$ → numerator is
2
✔ Answer:
2
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3. $\frac{2}{3} = \frac{?}{12}$
Multiply numerator and denominator by 4:
- $\frac{2 \times 4}{3 \times 4} = \frac{8}{12}$
✔ Answer:
8
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4. $\frac{9}{?} = \frac{3}{4}$
We want $\frac{9}{x} = \frac{3}{4}$
Cross-multiply: $9 \times 4 = 3 \times x$ → $36 = 3x$ → $x = 12$
✔ Answer:
12
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5. $\frac{4}{?} = \frac{16}{20}$
Simplify $\frac{16}{20} = \frac{4}{5}$, so:
- $\frac{4}{x} = \frac{4}{5}$ → $x = 5$
✔ Answer:
5
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6. $\frac{2}{16} = \frac{?}{8}$
Simplify $\frac{2}{16} = \frac{1}{8}$, so:
- $\frac{1}{8} = \frac{?}{8}$ → numerator is
1
✔ Answer:
1
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7. $\frac{2}{4} = \frac{?}{12}$
Simplify $\frac{2}{4} = \frac{1}{2}$
Now find what makes $\frac{?}{12} = \frac{1}{2}$ → Multiply numerator and denominator by 6:
- $\frac{1 \times 6}{2 \times 6} = \frac{6}{12}$
✔ Answer:
6
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8. $\frac{6}{15} = \frac{?}{5}$
Simplify $\frac{6}{15} = \frac{2}{5}$
So $\frac{2}{5} = \frac{?}{5}$ → numerator is
2
✔ Answer:
2
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9. $\frac{5}{6} = \frac{?}{12}$
Multiply numerator and denominator by 2:
- $\frac{5 \times 2}{6 \times 2} = \frac{10}{12}$
✔ Answer:
10
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10. $\frac{?}{30} = \frac{4}{10}$
Simplify $\frac{4}{10} = \frac{2}{5}$
Now find what over 30 equals $\frac{2}{5}$:
Multiply numerator and denominator by 6: $\frac{2 \times 6}{5 \times 6} = \frac{12}{30}$
✔ Answer:
12
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11. $\frac{8}{1} = \frac{16}{?}$
$\frac{8}{1} = 8$, so we need $\frac{16}{x} = 8$
Solve: $16 ÷ x = 8$ → $x = 2$
✔ Answer:
2
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12. $\frac{5}{9} = \frac{15}{?}$
Multiply numerator and denominator by 3:
- $\frac{5 \times 3}{9 \times 3} = \frac{15}{27}$
✔ Answer:
27
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13. $\frac{8}{24} = \frac{4}{?}$
Simplify $\frac{8}{24} = \frac{1}{3}$
So $\frac{4}{x} = \frac{1}{3}$
Cross-multiply: $4 \times 3 = 1 \times x$ → $x = 12$
✔ Answer:
12
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✔ Final Answers:
1.
1
2.
2
3.
8
4.
12
5.
5
6.
1
7.
6
8.
2
9.
10
10.
12
11.
2
12.
27
13.
12
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🍎 Summary:
This worksheet teaches
equivalent fractions using a fun apple theme. Each problem requires simplifying or scaling up fractions to match the missing part. The key idea is that multiplying or dividing both the numerator and denominator by the same number keeps the value the same.
Keep eating your apples — they're full of fiber and math skills! 😊🍎
Parent Tip: Review the logic above to help your child master the concept of teachers worksheet free.
