Problem: Adding Fractions
The task is to solve the given equations by adding fractions. Let's go through each problem step by step.
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1. $\frac{3}{7} + \frac{3}{7}$
- Both fractions have the same denominator (7).
- Add the numerators: $3 + 3 = 6$.
- The denominator remains the same: $7$.
- Result: $\frac{6}{7}$.
Answer: $\frac{6}{7}$
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2. $\frac{2}{5} + \frac{1}{5}$
- Both fractions have the same denominator (5).
- Add the numerators: $2 + 1 = 3$.
- The denominator remains the same: $5$.
- Result: $\frac{3}{5}$.
Answer: $\frac{3}{5}$
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3. $\frac{2}{9} + \frac{5}{9}$
- Both fractions have the same denominator (9).
- Add the numerators: $2 + 5 = 7$.
- The denominator remains the same: $9$.
- Result: $\frac{7}{9}$.
Answer: $\frac{7}{9}$
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4. $\frac{1}{6} + \frac{4}{6}$
- Both fractions have the same denominator (6).
- Add the numerators: $1 + 4 = 5$.
- The denominator remains the same: $6$.
- Result: $\frac{5}{6}$.
Answer: $\frac{5}{6}$
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5. $\frac{1}{4} + \frac{2}{4}$
- Both fractions have the same denominator (4).
- Add the numerators: $1 + 2 = 3$.
- The denominator remains the same: $4$.
- Result: $\frac{3}{4}$.
Answer: $\frac{3}{4}$
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6. $\frac{1}{3} + \frac{1}{3}$
- Both fractions have the same denominator (3).
- Add the numerators: $1 + 1 = 2$.
- The denominator remains the same: $3$.
- Result: $\frac{2}{3}$.
Answer: $\frac{2}{3}$
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7. $\frac{5}{7} + \frac{1}{7}$
- Both fractions have the same denominator (7).
- Add the numerators: $5 + 1 = 6$.
- The denominator remains the same: $7$.
- Result: $\frac{6}{7}$.
Answer: $\frac{6}{7}$
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8. $\frac{5}{12} + \frac{6}{12}$
- Both fractions have the same denominator (12).
- Add the numerators: $5 + 6 = 11$.
- The denominator remains the same: $12$.
- Result: $\frac{11}{12}$.
Answer: $\frac{11}{12}$
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9. $\frac{3}{5} + \frac{1}{5}$
- Both fractions have the same denominator (5).
- Add the numerators: $3 + 1 = 4$.
- The denominator remains the same: $5$.
- Result: $\frac{4}{5}$.
Answer: $\frac{4}{5}$
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10. $\frac{3}{8} + \frac{4}{8}$
- Both fractions have the same denominator (8).
- Add the numerators: $3 + 4 = 7$.
- The denominator remains the same: $8$.
- Result: $\frac{7}{8}$.
Answer: $\frac{7}{8}$
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Final Answers:
1. $\frac{6}{7}$
2. $\frac{3}{5}$
3. $\frac{7}{9}$
4. $\frac{5}{6}$
5. $\frac{3}{4}$
6. $\frac{2}{3}$
7. $\frac{6}{7}$
8. $\frac{11}{12}$
9. $\frac{4}{5}$
10. $\frac{7}{8}$
Boxed Final Answer:
$$
\boxed{\frac{6}{7}, \frac{3}{5}, \frac{7}{9}, \frac{5}{6}, \frac{3}{4}, \frac{2}{3}, \frac{6}{7}, \frac{11}{12}, \frac{4}{5}, \frac{7}{8}}
$$
Parent Tip: Review the logic above to help your child master the concept of fourth grade fractions.
