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. $\frac{4}{6} + \frac{1}{6}$
- Both fractions have the same denominator (6).
- Add the numerators: $4 + 1 = 5$.
- The denominator remains the same.
- Simplify if possible: $\frac{5}{6}$ is already in simplest form.
Answer: $\frac{5}{6}$
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2. $\frac{8}{11} + \frac{2}{11}$
- Both fractions have the same denominator (11).
- Add the numerators: $8 + 2 = 10$.
- The denominator remains the same.
- Simplify if possible: $\frac{10}{11}$ is already in simplest form.
Answer: $\frac{10}{11}$
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3. $\frac{2}{5} + \frac{2}{5}$
- Both fractions have the same denominator (5).
- Add the numerators: $2 + 2 = 4$.
- The denominator remains the same.
- Simplify if possible: $\frac{4}{5}$ is already in simplest form.
Answer: $\frac{4}{5}$
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4. $\frac{5}{9} + \frac{2}{9}$
- Both fractions have the same denominator (9).
- Add the numerators: $5 + 2 = 7$.
- The denominator remains the same.
- Simplify if possible: $\frac{7}{9}$ is already in simplest form.
Answer: $\frac{7}{9}$
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5. $\frac{4}{7} + \frac{2}{7}$
- Both fractions have the same denominator (7).
- Add the numerators: $4 + 2 = 6$.
- The denominator remains the same.
- Simplify if possible: $\frac{6}{7}$ is already in simplest form.
Answer: $\frac{6}{7}$
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6. $\frac{5}{10} + \frac{4}{10}$
- Both fractions have the same denominator (10).
- Add the numerators: $5 + 4 = 9$.
- The denominator remains the same.
- Simplify if possible: $\frac{9}{10}$ is already in simplest form.
Answer: $\frac{9}{10}$
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7. $\frac{2}{4} + \frac{1}{4}$
- Both fractions have the same denominator (4).
- Add the numerators: $2 + 1 = 3$.
- The denominator remains the same.
- Simplify if possible: $\frac{3}{4}$ is already in simplest form.
Answer: $\frac{3}{4}$
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8. $\frac{5}{12} + \frac{2}{12}$
- Both fractions have the same denominator (12).
- Add the numerators: $5 + 2 = 7$.
- The denominator remains the same.
- Simplify if possible: $\frac{7}{12}$ is already in simplest form.
Answer: $\frac{7}{12}$
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9. $\frac{3}{6} + \frac{2}{6}$
- Both fractions have the same denominator (6).
- Add the numerators: $3 + 2 = 5$.
- The denominator remains the same.
- Simplify if possible: $\frac{5}{6}$ is already in simplest form.
Answer: $\frac{5}{6}$
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10. $\frac{4}{8} + \frac{3}{8}$
- Both fractions have the same denominator (8).
- Add the numerators: $4 + 3 = 7$.
- The denominator remains the same.
- Simplify if possible: $\frac{7}{8}$ is already in simplest form.
Answer: $\frac{7}{8}$
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Final Answers:
1. $\frac{5}{6}$
2. $\frac{10}{11}$
3. $\frac{4}{5}$
4. $\frac{7}{9}$
5. $\frac{6}{7}$
6. $\frac{9}{10}$
7. $\frac{3}{4}$
8. $\frac{7}{12}$
9. $\frac{5}{6}$
10. $\frac{7}{8}$
Boxed Final Answer:
$$
\boxed{\frac{5}{6}, \frac{10}{11}, \frac{4}{5}, \frac{7}{9}, \frac{6}{7}, \frac{9}{10}, \frac{3}{4}, \frac{7}{12}, \frac{5}{6}, \frac{7}{8}}
$$
Parent Tip: Review the logic above to help your child master the concept of 4th grade fraction worksheet.
