5th Grade Math Worksheet: Adding Fractions

Let's solve each of these fraction addition problems step by step. All the fractions on this worksheet have the same denominator, which makes adding them straightforward.

Rule for Adding Fractions with Like Denominators:

When two fractions have the same denominator, you simply add the numerators and keep the denominator the same.

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Problem 1:

$$
\frac{4}{11} + \frac{6}{11} = \frac{4 + 6}{11} = \frac{10}{11}
$$

✔ Answer: $ \frac{10}{11} $

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Problem 2:

$$
\frac{12}{40} + \frac{11}{40} = \frac{12 + 11}{40} = \frac{23}{40}
$$

✔ Answer: $ \frac{23}{40} $

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Problem 3:

$$
\frac{12}{33} + \frac{9}{33} = \frac{12 + 9}{33} = \frac{21}{33}
$$

Now, simplify $ \frac{21}{33} $.
Both 21 and 33 are divisible by 3:
$ \frac{21 \div 3}{33 \div 3} = \frac{7}{11} $

✔ Answer: $ \frac{7}{11} $

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Problem 4:

$$
\frac{6}{21} + \frac{5}{21} = \frac{6 + 5}{21} = \frac{11}{21}
$$

✔ Answer: $ \frac{11}{21} $

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Problem 5:

$$
\frac{3}{13} + \frac{8}{13} = \frac{3 + 8}{13} = \frac{11}{13}
$$

✔ Answer: $ \frac{11}{13} $

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Problem 6:

$$
\frac{5}{22} + \frac{7}{22} = \frac{5 + 7}{22} = \frac{12}{22}
$$

Simplify $ \frac{12}{22} $: divide numerator and denominator by 2:
$ \frac{12 \div 2}{22 \div 2} = \frac{6}{11} $

✔ Answer: $ \frac{6}{11} $

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Problem 7:

$$
\frac{13}{35} + \frac{11}{35} = \frac{13 + 11}{35} = \frac{24}{35}
$$

✔ Answer: $ \frac{24}{35} $

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Problem 8:

$$
\frac{11}{43} + \frac{18}{43} = \frac{11 + 18}{43} = \frac{29}{43}
$$

✔ Answer: $ \frac{29}{43} $

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Final Answers:

1. $ \frac{10}{11} $
2. $ \frac{23}{40} $
3. $ \frac{7}{11} $
4. $ \frac{11}{21} $
5. $ \frac{11}{13} $
6. $ \frac{6}{11} $
7. $ \frac{24}{35} $
8. $ \frac{29}{43} $

✔ All answers are in simplest form.

Let me know if you'd like a printable version or explanation of how to simplify fractions!