Let's solve each subtraction of fractions step by step. We'll find a common denominator when needed, subtract the numerators, and simplify if possible.
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1. $ \frac{2}{1} - \frac{3}{3} $
- Simplify: $ \frac{2}{1} = 2 $, $ \frac{3}{3} = 1 $
- So: $ 2 - 1 = 1 $
✔ Answer: 1
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2. $ \frac{3}{2} - \frac{5}{4} $
- Find a common denominator: LCM of 2 and 4 is 4
- Convert: $ \frac{3}{2} = \frac{6}{4} $
- Now: $ \frac{6}{4} - \frac{5}{4} = \frac{1}{4} $
✔ Answer: $ \frac{1}{4} $
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3. $ \frac{5}{6} - \frac{4}{8} $
- Simplify $ \frac{4}{8} = \frac{1}{2} $
- Common denominator of 6 and 2 is 6
- Convert: $ \frac{1}{2} = \frac{3}{6} $
- Now: $ \frac{5}{6} - \frac{3}{6} = \frac{2}{6} = \frac{1}{3} $
✔ Answer: $ \frac{1}{3} $
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4. $ \frac{2}{4} - \frac{3}{8} $
- Simplify $ \frac{2}{4} = \frac{1}{2} $
- Common denominator of 2 and 8 is 8
- Convert: $ \frac{1}{2} = \frac{4}{8} $
- Now: $ \frac{4}{8} - \frac{3}{8} = \frac{1}{8} $
✔ Answer: $ \frac{1}{8} $
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5. $ \frac{8}{2} - \frac{4}{2} $
- Simplify: $ \frac{8}{2} = 4 $, $ \frac{4}{2} = 2 $
- $ 4 - 2 = 2 $
✔ Answer: 2
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6. $ \frac{6}{4} - \frac{2}{3} $
- Simplify $ \frac{6}{4} = \frac{3}{2} $
- Common denominator of 2 and 3 is 6
- Convert: $ \frac{3}{2} = \frac{9}{6} $, $ \frac{2}{3} = \frac{4}{6} $
- Now: $ \frac{9}{6} - \frac{4}{6} = \frac{5}{6} $
✔ Answer: $ \frac{5}{6} $
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7. $ \frac{3}{2} - \frac{2}{3} $
- Common denominator of 2 and 3 is 6
- Convert: $ \frac{3}{2} = \frac{9}{6} $, $ \frac{2}{3} = \frac{4}{6} $
- $ \frac{9}{6} - \frac{4}{6} = \frac{5}{6} $
✔ Answer: $ \frac{5}{6} $
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8. $ \frac{4}{3} - \frac{2}{4} $
- Simplify $ \frac{2}{4} = \frac{1}{2} $
- Common denominator of 3 and 2 is 6
- Convert: $ \frac{4}{3} = \frac{8}{6} $, $ \frac{1}{2} = \frac{3}{6} $
- $ \frac{8}{6} - \frac{3}{6} = \frac{5}{6} $
✔ Answer: $ \frac{5}{6} $
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9. $ \frac{4}{6} - \frac{2}{5} $
- Simplify $ \frac{4}{6} = \frac{2}{3} $
- Common denominator of 3 and 5 is 15
- Convert: $ \frac{2}{3} = \frac{10}{15} $, $ \frac{2}{5} = \frac{6}{15} $
- $ \frac{10}{15} - \frac{6}{15} = \frac{4}{15} $
✔ Answer: $ \frac{4}{15} $
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10. $ \frac{7}{1} - \frac{7}{2} $
- $ \frac{7}{1} = 7 $
- Convert to fraction with denominator 2: $ 7 = \frac{14}{2} $
- $ \frac{14}{2} - \frac{7}{2} = \frac{7}{2} $
- Or as mixed number: $ 3\frac{1}{2} $
✔ Answer: $ \frac{7}{2} $ or $ 3\frac{1}{2} $
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✔ Final Answers (in order):
1. $ 1 $
2. $ \frac{1}{4} $
3. $ \frac{1}{3} $
4. $ \frac{1}{8} $
5. $ 2 $
6. $ \frac{5}{6} $
7. $ \frac{5}{6} $
8. $ \frac{5}{6} $
9. $ \frac{4}{15} $
10. $ \frac{7}{2} $ or $ 3\frac{1}{2} $
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📝 Summary Tips:
- Always look for simplifications first.
- Find the least common denominator (LCD) when denominators differ.
- Subtract numerators only after converting to same denominator.
- Simplify the result if possible.
Let me know if you'd like this formatted as a printable answer key! 😊
Parent Tip: Review the logic above to help your child master the concept of subtracting fractions with unlike denominators worksheet.
