Math worksheet for practicing addition and subtraction of improper fractions with like denominators.

Let's solve the Adding and Subtracting Improper Fractions with Like Denominators worksheet step by step. The instructions say:

> "Solve each problem. Write your answer in lowest terms."

We’ll go through each problem, add or subtract the fractions (they all have like denominators), simplify the result, and write it in lowest terms.

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Problem 1:

$$
\frac{12}{5} + \frac{4}{5} = \frac{12 + 4}{5} = \frac{16}{5}
$$
- Already in simplest form.
✔ Answer: $ \frac{16}{5} $

---

Problem 2:

$$
\frac{37}{8} - \frac{1}{8} = \frac{37 - 1}{8} = \frac{36}{8}
$$
- Simplify: $ \frac{36}{8} = \frac{9}{2} $
✔ Answer: $ \frac{9}{2} $

---

Problem 3:

$$
\frac{10}{3} + \frac{1}{3} = \frac{10 + 1}{3} = \frac{11}{3}
$$
- Already simplified.
✔ Answer: $ \frac{11}{3} $

---

Problem 4:

$$
\frac{15}{7} - \frac{1}{7} = \frac{15 - 1}{7} = \frac{14}{7} = 2
$$
- $ \frac{14}{7} = 2 $
✔ Answer: $ 2 $

---

Problem 5:

$$
\frac{25}{9} - \frac{1}{9} = \frac{25 - 1}{9} = \frac{24}{9}
$$
- Simplify: $ \frac{24}{9} = \frac{8}{3} $
✔ Answer: $ \frac{8}{3} $

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Problem 6:

$$
\frac{21}{10} - \frac{1}{10} = \frac{21 - 1}{10} = \frac{20}{10} = 2
$$
✔ Answer: $ 2 $

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Problem 7:

$$
\frac{14}{6} + \frac{1}{6} = \frac{14 + 1}{6} = \frac{15}{6}
$$
- Simplify: $ \frac{15}{6} = \frac{5}{2} $
✔ Answer: $ \frac{5}{2} $

---

Problem 8:

$$
\frac{18}{11} - \frac{1}{11} = \frac{18 - 1}{11} = \frac{17}{11}
$$
- Already simplified.
✔ Answer: $ \frac{17}{11} $

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Problem 9:

$$
\frac{17}{8} + \frac{1}{8} = \frac{17 + 1}{8} = \frac{18}{8}
$$
- Simplify: $ \frac{18}{8} = \frac{9}{4} $
✔ Answer: $ \frac{9}{4} $

---

Problem 10:

$$
\frac{27}{12} - \frac{1}{12} = \frac{27 - 1}{12} = \frac{26}{12}
$$
- Simplify: $ \frac{26}{12} = \frac{13}{6} $
✔ Answer: $ \frac{13}{6} $

---

Problem 11:

$$
\frac{15}{7} - \frac{1}{7} = \frac{15 - 1}{7} = \frac{14}{7} = 2
$$
✔ Answer: $ 2 $

---

Problem 12:

$$
\frac{24}{13} + \frac{1}{13} = \frac{24 + 1}{13} = \frac{25}{13}
$$
- Already simplified.
✔ Answer: $ \frac{25}{13} $

---

Problem 13:

$$
\frac{18}{14} + \frac{1}{14} = \frac{18 + 1}{14} = \frac{19}{14}
$$
- Already simplified.
✔ Answer: $ \frac{19}{14} $

---

Problem 14:

$$
\frac{22}{15} - \frac{1}{15} = \frac{22 - 1}{15} = \frac{21}{15}
$$
- Simplify: $ \frac{21}{15} = \frac{7}{5} $
✔ Answer: $ \frac{7}{5} $

---

Problem 15:

$$
\frac{16}{9} - \frac{1}{9} = \frac{16 - 1}{9} = \frac{15}{9}
$$
- Simplify: $ \frac{15}{9} = \frac{5}{3} $
✔ Answer: $ \frac{5}{3} $

---

Problem 16:

$$
\frac{25}{18} + \frac{1}{18} = \frac{25 + 1}{18} = \frac{26}{18}
$$
- Simplify: $ \frac{26}{18} = \frac{13}{9} $
✔ Answer: $ \frac{13}{9} $

---

Problem 17:

$$
\frac{19}{10} - \frac{1}{10} = \frac{19 - 1}{10} = \frac{18}{10}
$$
- Simplify: $ \frac{18}{10} = \frac{9}{5} $
✔ Answer: $ \frac{9}{5} $

---

Problem 18:

$$
\frac{20}{16} + \frac{1}{16} = \frac{20 + 1}{16} = \frac{21}{16}
$$
- Already simplified.
✔ Answer: $ \frac{21}{16} $

---

Problem 19:

$$
\frac{14}{12} + \frac{1}{12} = \frac{14 + 1}{12} = \frac{15}{12}
$$
- Simplify: $ \frac{15}{12} = \frac{5}{4} $
✔ Answer: $ \frac{5}{4} $

---

Problem 20:

$$
\frac{26}{14} - \frac{1}{14} = \frac{26 - 1}{14} = \frac{25}{14}
$$
- Already simplified.
✔ Answer: $ \frac{25}{14} $

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## ✔ Final Answers:

| Problem | Answer |
|--------|--------------|
| 1 | $ \frac{16}{5} $ |
| 2 | $ \frac{9}{2} $ |
| 3 | $ \frac{11}{3} $ |
| 4 | $ 2 $ |
| 5 | $ \frac{8}{3} $ |
| 6 | $ 2 $ |
| 7 | $ \frac{5}{2} $ |
| 8 | $ \frac{17}{11} $|
| 9 | $ \frac{9}{4} $ |
| 10 | $ \frac{13}{6} $ |
| 11 | $ 2 $ |
| 12 | $ \frac{25}{13} $|
| 13 | $ \frac{19}{14} $|
| 14 | $ \frac{7}{5} $ |
| 15 | $ \frac{5}{3} $ |
| 16 | $ \frac{13}{9} $ |
| 17 | $ \frac{9}{5} $ |
| 18 | $ \frac{21}{16} $|
| 19 | $ \frac{5}{4} $ |
| 20 | $ \frac{25}{14} $|

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🔍 Summary of Steps:

1. Add or subtract numerators — keep denominator same (like denominators).
2. Simplify the resulting fraction by dividing numerator and denominator by their GCF.
3. If the result is a whole number (e.g., $ \frac{14}{7} = 2 $), write as a whole number.

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