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Printable worksheet for practicing addition of like fractions.

Grade 5 adding fractions mixed numbers | PDF

Educational worksheet: Grade 5 adding fractions mixed numbers | PDF. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Grade 5 adding fractions mixed numbers | PDF
The image you provided shows a worksheet titled "Adding Like Fractions." The task involves adding fractions that have the same denominators (like fractions). Below is a step-by-step explanation of how to solve these problems, along with the solutions.

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General Rule for Adding Like Fractions


When adding fractions with the same denominator:
1. Add the numerators together.
2. Keep the denominator the same.
3. Simplify the resulting fraction if possible.

For example:
$$
\frac{a}{b} + \frac{c}{b} = \frac{a + c}{b}
$$

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Solutions to the Problems



#### Problem 1:
$$
\frac{3}{8} + \frac{5}{8} + \frac{2}{8}
$$
- Add the numerators: \(3 + 5 + 2 = 10\).
- Keep the denominator: \(8\).
- Result: \(\frac{10}{8}\).
- Simplify: \(\frac{10}{8} = \frac{5}{4}\) (divide numerator and denominator by 2).

Answer: \(\frac{5}{4}\)

#### Problem 2:
$$
\frac{1}{7} + \frac{3}{7} + \frac{2}{7}
$$
- Add the numerators: \(1 + 3 + 2 = 6\).
- Keep the denominator: \(7\).
- Result: \(\frac{6}{7}\).

Answer: \(\frac{6}{7}\)

#### Problem 3:
$$
\frac{4}{9} + \frac{2}{9} + \frac{3}{9}
$$
- Add the numerators: \(4 + 2 + 3 = 9\).
- Keep the denominator: \(9\).
- Result: \(\frac{9}{9}\).
- Simplify: \(\frac{9}{9} = 1\).

Answer: \(1\)

#### Problem 4:
$$
\frac{5}{6} + \frac{1}{6} + \frac{4}{6}
$$
- Add the numerators: \(5 + 1 + 4 = 10\).
- Keep the denominator: \(6\).
- Result: \(\frac{10}{6}\).
- Simplify: \(\frac{10}{6} = \frac{5}{3}\) (divide numerator and denominator by 2).

Answer: \(\frac{5}{3}\)

#### Problem 5:
$$
\frac{2}{5} + \frac{3}{5} + \frac{1}{5}
$$
- Add the numerators: \(2 + 3 + 1 = 6\).
- Keep the denominator: \(5\).
- Result: \(\frac{6}{5}\).

Answer: \(\frac{6}{5}\)

#### Problem 6:
$$
\frac{7}{10} + \frac{2}{10} + \frac{1}{10}
$$
- Add the numerators: \(7 + 2 + 1 = 10\).
- Keep the denominator: \(10\).
- Result: \(\frac{10}{10}\).
- Simplify: \(\frac{10}{10} = 1\).

Answer: \(1\)

#### Problem 7:
$$
\frac{3}{4} + \frac{1}{4} + \frac{2}{4}
$$
- Add the numerators: \(3 + 1 + 2 = 6\).
- Keep the denominator: \(4\).
- Result: \(\frac{6}{4}\).
- Simplify: \(\frac{6}{4} = \frac{3}{2}\) (divide numerator and denominator by 2).

Answer: \(\frac{3}{2}\)

#### Problem 8:
$$
\frac{6}{7} + \frac{2}{7} + \frac{3}{7}
$$
- Add the numerators: \(6 + 2 + 3 = 11\).
- Keep the denominator: \(7\).
- Result: \(\frac{11}{7}\).

Answer: \(\frac{11}{7}\)

#### Problem 9:
$$
\frac{5}{8} + \frac{3}{8} + \frac{2}{8}
$$
- Add the numerators: \(5 + 3 + 2 = 10\).
- Keep the denominator: \(8\).
- Result: \(\frac{10}{8}\).
- Simplify: \(\frac{10}{8} = \frac{5}{4}\) (divide numerator and denominator by 2).

Answer: \(\frac{5}{4}\)

#### Problem 10:
$$
\frac{4}{9} + \frac{2}{9} + \frac{3}{9}
$$
- Add the numerators: \(4 + 2 + 3 = 9\).
- Keep the denominator: \(9\).
- Result: \(\frac{9}{9}\).
- Simplify: \(\frac{9}{9} = 1\).

Answer: \(1\)

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Final Answers


1. \(\frac{5}{4}\)
2. \(\frac{6}{7}\)
3. \(1\)
4. \(\frac{5}{3}\)
5. \(\frac{6}{5}\)
6. \(1\)
7. \(\frac{3}{2}\)
8. \(\frac{11}{7}\)
9. \(\frac{5}{4}\)
10. \(1\)

---

Boxed Final Answer


$$
\boxed{\frac{5}{4}, \frac{6}{7}, 1, \frac{5}{3}, \frac{6}{5}, 1, \frac{3}{2}, \frac{11}{7}, \frac{5}{4}, 1}
$$
Parent Tip: Review the logic above to help your child master the concept of mixed fraction worksheets.
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