Absolutely! Let’s solve this worksheet step by step.
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📌 Key Concept: Equivalent Fractions
> To find equivalent fractions, you
multiply or divide both the numerator (top) and denominator (bottom) by the same number.
This keeps the value of the fraction the same — just written differently.
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##
✔ Let’s Solve Each Problem
We’ll go row by row, left to right.
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🔹 Row 1:
Left:
$\frac{1}{4} = \frac{\boxed{2}}{8}$ → Already solved.
*How?* Multiply numerator and denominator by 2:
$1 \times 2 = 2$, $4 \times 2 = 8$
Right:
$\frac{1}{2} = \frac{\boxed{?}}{4}$
→ We need to turn denominator 2 into 4 → multiply by
2
So, numerator: $1 \times 2 = \boxed{2}$
✔ Answer:
2
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🔹 Row 2:
Left:
$\frac{4}{6} = \frac{\boxed{?}}{12}$
→ Denominator 6 → 12 → multiply by
2
Numerator: $4 \times 2 = \boxed{8}$
✔ Answer:
8
Right:
$\frac{2}{3} = \frac{\boxed{?}}{6}$
→ Denominator 3 → 6 → multiply by
2
Numerator: $2 \times 2 = \boxed{4}$
✔ Answer:
4
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🔹 Row 3:
Left:
$\frac{1}{2} = \frac{\boxed{?}}{8}$
→ Denominator 2 → 8 → multiply by
4
Numerator: $1 \times 4 = \boxed{4}$
✔ Answer:
4
Right:
$\frac{2}{3} = \frac{\boxed{?}}{12}$
→ Denominator 3 → 12 → multiply by
4
Numerator: $2 \times 4 = \boxed{8}$
✔ Answer:
8
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🔹 Row 4:
Left:
$\frac{3}{6} = \frac{\boxed{?}}{12}$
→ Denominator 6 → 12 → multiply by
2
Numerator: $3 \times 2 = \boxed{6}$
✔ Answer:
6
Right:
$\frac{1}{3} = \frac{\boxed{?}}{6}$
→ Denominator 3 → 6 → multiply by
2
Numerator: $1 \times 2 = \boxed{2}$
✔ Answer:
2
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🔹 Row 5:
Left:
$\frac{3}{4} = \frac{\boxed{?}}{8}$
→ Denominator 4 → 8 → multiply by
2
Numerator: $3 \times 2 = \boxed{6}$
✔ Answer:
6
Right:
$\frac{5}{6} = \frac{\boxed{?}}{12}$
→ Denominator 6 → 12 → multiply by
2
Numerator: $5 \times 2 = \boxed{10}$
✔ Answer:
10
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##
✔ Final Answers (Filled In):
| Fraction Equation | Answer |
|-------------------------------|--------|
| $\frac{1}{4} = \frac{2}{8}$ | (given) |
| $\frac{1}{2} = \frac{\boxed{2}}{4}$ |
2 |
| $\frac{4}{6} = \frac{\boxed{8}}{12}$ |
8 |
| $\frac{2}{3} = \frac{\boxed{4}}{6}$ |
4 |
| $\frac{1}{2} = \frac{\boxed{4}}{8}$ |
4 |
| $\frac{2}{3} = \frac{\boxed{8}}{12}$ |
8 |
| $\frac{3}{6} = \frac{\boxed{6}}{12}$ |
6 |
| $\frac{1}{3} = \frac{\boxed{2}}{6}$ |
2 |
| $\frac{3}{4} = \frac{\boxed{6}}{8}$ |
6 |
| $\frac{5}{6} = \frac{\boxed{10}}{12}$ |
10 |
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## 💡 Pro Tip:
You can always check your answer by simplifying the new fraction back to the original!
Example: $\frac{8}{12}$ → divide numerator & denominator by 4 → $\frac{2}{3}$
✔
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Let me know if you’d like a printable version or more practice problems! 😊
Parent Tip: Review the logic above to help your child master the concept of equivalent fractions worksheet grade 3.
