Worksheet for practicing subtraction of fractions with like denominators.
Subtract fractions with like denominators worksheet, math practice sheet with 20 problems, featuring fraction subtraction exercises and a small dinosaur illustration in the corner.
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Show Answer Key & Explanations
Step-by-step solution for: Adding Fractions Calculator
▼
Show Answer Key & Explanations
Step-by-step solution for: Adding Fractions Calculator
Sure! Let’s solve the worksheet titled “SUBTRACT FRACTIONS WITH LIKE DENOMINATORS”.
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When subtracting fractions with like denominators, you simply:
> Subtract the numerators and keep the same denominator.
Then, simplify the fraction if possible (reduce to lowest terms).
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Let’s go problem by problem:
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→ Numerators: 3 - 2 = 1; Denominator stays 7. Already simplified.
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→ 3 - 1 = 2 → $\frac{2}{5}$
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→ 8 - 5 = 3 → $\frac{3}{9}$ simplifies to $\frac{1}{3}$ (divide numerator & denominator by 3)
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→ 7 - 4 = 3 → $\frac{3}{8}$ (already simplified)
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→ 4 - 3 = 1 → $\frac{1}{5}$
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→ 8 - 3 = 5 → $\frac{5}{10}$ simplifies to $\frac{1}{2}$
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→ 9 - 3 = 6 → $\frac{6}{5}$ is an improper fraction → convert to mixed number: $1\frac{1}{5}$
*(Note: Some worksheets may accept improper fractions unless specified otherwise. But since this is elementary level, mixed numbers are often preferred.)*
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→ 11 - 7 = 4 → $\frac{4}{12}$ simplifies to $\frac{1}{3}$
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→ 18 - 11 = 7 → $\frac{7}{20}$ (already simplified)
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→ 8 - 4 = 4 → $\frac{4}{7}$
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→ 11 - 4 = 7 → $\frac{7}{20}$
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→ 11 - 5 = 6 → $\frac{6}{12}$ simplifies to $\frac{1}{2}$
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→ 14 - 8 = 6 → $\frac{6}{15}$ simplifies to $\frac{2}{5}$ (divide by 3)
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→ 14 - 11 = 3 → $\frac{3}{15}$ simplifies to $\frac{1}{5}$
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→ 7 - 3 = 4 → $\frac{4}{10}$ simplifies to $\frac{2}{5}$
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→ 12 - 6 = 6 → $\frac{6}{16}$ simplifies to $\frac{3}{8}$ (divide by 2)
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→ 11 - 7 = 4 → $\frac{4}{20}$ simplifies to $\frac{1}{5}$
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→ 27 - 18 = 9 → $\frac{9}{30}$ simplifies to $\frac{3}{10}$ (divide by 3)
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## ✔ Final Answers (Boxed):
Here are all the answers in order:
1) $\boxed{\frac{1}{7}}$
2) $\boxed{\frac{2}{5}}$
3) $\boxed{\frac{1}{3}}$
4) $\boxed{\frac{3}{8}}$
5) $\boxed{\frac{1}{5}}$
6) $\boxed{\frac{1}{2}}$
7) $\boxed{1\frac{1}{5}}$ or $\boxed{\frac{6}{5}}$
8) $\boxed{\frac{1}{3}}$
9) $\boxed{\frac{7}{20}}$
10) $\boxed{\frac{4}{7}}$
11) $\boxed{\frac{7}{20}}$
12) $\boxed{\frac{1}{2}}$
13) $\boxed{\frac{2}{5}}$
14) $\boxed{\frac{1}{5}}$
15) $\boxed{\frac{2}{5}}$
16) $\boxed{\frac{3}{8}}$
17) $\boxed{\frac{1}{5}}$
18) $\boxed{\frac{3}{10}}$
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## 💡 Teaching Tip:
Encourage students to always check if their answer can be simplified — that’s a crucial step in working with fractions!
Let me know if you’d like a printable version or want to see these as mixed numbers only or improper fractions only — I can adjust accordingly! 🐸
---
✔ Key Concept:
When subtracting fractions with like denominators, you simply:
> Subtract the numerators and keep the same denominator.
Then, simplify the fraction if possible (reduce to lowest terms).
---
Let’s go problem by problem:
---
1) $\frac{3}{7} - \frac{2}{7} = \frac{1}{7}$
→ Numerators: 3 - 2 = 1; Denominator stays 7. Already simplified.
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2) $\frac{3}{5} - \frac{1}{5} = \frac{2}{5}$
→ 3 - 1 = 2 → $\frac{2}{5}$
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3) $\frac{8}{9} - \frac{5}{9} = \frac{3}{9} = \frac{1}{3}$
→ 8 - 5 = 3 → $\frac{3}{9}$ simplifies to $\frac{1}{3}$ (divide numerator & denominator by 3)
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4) $\frac{7}{8} - \frac{4}{8} = \frac{3}{8}$
→ 7 - 4 = 3 → $\frac{3}{8}$ (already simplified)
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5) $\frac{4}{5} - \frac{3}{5} = \frac{1}{5}$
→ 4 - 3 = 1 → $\frac{1}{5}$
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6) $\frac{8}{10} - \frac{3}{10} = \frac{5}{10} = \frac{1}{2}$
→ 8 - 3 = 5 → $\frac{5}{10}$ simplifies to $\frac{1}{2}$
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7) $\frac{9}{5} - \frac{3}{5} = \frac{6}{5} = 1\frac{1}{5}$
→ 9 - 3 = 6 → $\frac{6}{5}$ is an improper fraction → convert to mixed number: $1\frac{1}{5}$
*(Note: Some worksheets may accept improper fractions unless specified otherwise. But since this is elementary level, mixed numbers are often preferred.)*
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8) $\frac{11}{12} - \frac{7}{12} = \frac{4}{12} = \frac{1}{3}$
→ 11 - 7 = 4 → $\frac{4}{12}$ simplifies to $\frac{1}{3}$
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9) $\frac{18}{20} - \frac{11}{20} = \frac{7}{20}$
→ 18 - 11 = 7 → $\frac{7}{20}$ (already simplified)
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10) $\frac{8}{7} - \frac{4}{7} = \frac{4}{7}$
→ 8 - 4 = 4 → $\frac{4}{7}$
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11) $\frac{11}{20} - \frac{4}{20} = \frac{7}{20}$
→ 11 - 4 = 7 → $\frac{7}{20}$
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12) $\frac{11}{12} - \frac{5}{12} = \frac{6}{12} = \frac{1}{2}$
→ 11 - 5 = 6 → $\frac{6}{12}$ simplifies to $\frac{1}{2}$
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13) $\frac{14}{15} - \frac{8}{15} = \frac{6}{15} = \frac{2}{5}$
→ 14 - 8 = 6 → $\frac{6}{15}$ simplifies to $\frac{2}{5}$ (divide by 3)
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14) $\frac{14}{15} - \frac{11}{15} = \frac{3}{15} = \frac{1}{5}$
→ 14 - 11 = 3 → $\frac{3}{15}$ simplifies to $\frac{1}{5}$
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15) $\frac{7}{10} - \frac{3}{10} = \frac{4}{10} = \frac{2}{5}$
→ 7 - 3 = 4 → $\frac{4}{10}$ simplifies to $\frac{2}{5}$
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16) $\frac{12}{16} - \frac{6}{16} = \frac{6}{16} = \frac{3}{8}$
→ 12 - 6 = 6 → $\frac{6}{16}$ simplifies to $\frac{3}{8}$ (divide by 2)
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17) $\frac{11}{20} - \frac{7}{20} = \frac{4}{20} = \frac{1}{5}$
→ 11 - 7 = 4 → $\frac{4}{20}$ simplifies to $\frac{1}{5}$
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18) $\frac{27}{30} - \frac{18}{30} = \frac{9}{30} = \frac{3}{10}$
→ 27 - 18 = 9 → $\frac{9}{30}$ simplifies to $\frac{3}{10}$ (divide by 3)
---
## ✔ Final Answers (Boxed):
Here are all the answers in order:
1) $\boxed{\frac{1}{7}}$
2) $\boxed{\frac{2}{5}}$
3) $\boxed{\frac{1}{3}}$
4) $\boxed{\frac{3}{8}}$
5) $\boxed{\frac{1}{5}}$
6) $\boxed{\frac{1}{2}}$
7) $\boxed{1\frac{1}{5}}$ or $\boxed{\frac{6}{5}}$
8) $\boxed{\frac{1}{3}}$
9) $\boxed{\frac{7}{20}}$
10) $\boxed{\frac{4}{7}}$
11) $\boxed{\frac{7}{20}}$
12) $\boxed{\frac{1}{2}}$
13) $\boxed{\frac{2}{5}}$
14) $\boxed{\frac{1}{5}}$
15) $\boxed{\frac{2}{5}}$
16) $\boxed{\frac{3}{8}}$
17) $\boxed{\frac{1}{5}}$
18) $\boxed{\frac{3}{10}}$
---
## 💡 Teaching Tip:
Encourage students to always check if their answer can be simplified — that’s a crucial step in working with fractions!
Let me know if you’d like a printable version or want to see these as mixed numbers only or improper fractions only — I can adjust accordingly! 🐸
Parent Tip: Review the logic above to help your child master the concept of adding fractions calculator.