Let's solve each of the fraction addition problems on the worksheet step by step. All of these involve
adding fractions with like denominators, which means we can simply add the numerators and keep the denominator the same.
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1.
$$
\frac{1}{5} + \frac{1}{5} = \frac{1+1}{5} = \frac{2}{5}
$$
✔ Answer: $\frac{2}{5}$
👉 Shade 2 out of 5 equal parts in the circle.
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2.
$$
\frac{3}{7} + \frac{2}{7} = \frac{3+2}{7} = \frac{5}{7}
$$
✔ Answer: $\frac{5}{7}$
👉 Shade 5 out of 7 equal parts.
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3.
$$
\frac{3}{5} + \frac{1}{5} = \frac{3+1}{5} = \frac{4}{5}
$$
✔ Answer: $\frac{4}{5}$
👉 Shade 4 out of 5 equal parts.
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4.
$$
\frac{5}{10} + \frac{4}{10} = \frac{5+4}{10} = \frac{9}{10}
$$
✔ Answer: $\frac{9}{10}$
👉 Shade 9 out of 10 equal parts.
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5.
$$
\frac{2}{6} + \frac{3}{6} = \frac{2+3}{6} = \frac{5}{6}
$$
✔ Answer: $\frac{5}{6}$
👉 Shade 5 out of 6 equal parts.
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6.
$$
\frac{4}{8} + \frac{3}{8} = \frac{4+3}{8} = \frac{7}{8}
$$
✔ Answer: $\frac{7}{8}$
👉 Shade 7 out of 8 equal parts.
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7.
$$
\frac{8}{15} + \frac{5}{15} = \frac{8+5}{15} = \frac{13}{15}
$$
✔ Answer: $\frac{13}{15}$
👉 Shade 13 out of 15 equal parts.
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8.
$$
\frac{7}{12} + \frac{3}{12} = \frac{7+3}{12} = \frac{10}{12}
$$
We can simplify this:
$$
\frac{10}{12} = \frac{5}{6} \quad \text{(divide numerator and denominator by 2)}
$$
✔ Answer: $\frac{10}{12}$ or simplified: $\frac{5}{6}$
👉 Shade 10 out of 12 equal parts (or show that it’s equivalent to 5/6).
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✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1. | $\frac{2}{5}$ |
| 2. | $\frac{5}{7}$ |
| 3. | $\frac{4}{5}$ |
| 4. | $\frac{9}{10}$ |
| 5. | $\frac{5}{6}$ |
| 6. | $\frac{7}{8}$ |
| 7. | $\frac{13}{15}$ |
| 8. | $\frac{10}{12}$ or $\frac{5}{6}$ |
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🎯 Tips for Using Diagrams:
- Each circle is divided into equal parts matching the denominator.
- For example, in problem 1, the circle has 5 parts → shade 2 parts.
- This visual helps understand how fractions combine.
Let me know if you'd like a version with shaded diagrams!
Parent Tip: Review the logic above to help your child master the concept of add and subtract fractions activity.
