Let’s solve each problem step by step. Since all the fractions have
like denominators (the bottom numbers are the same), we can subtract the whole numbers and the fractions separately.
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a. $ 4\frac{7}{8} - 3\frac{2}{8} $
- Whole numbers: $ 4 - 3 = 1 $
- Fractions: $ \frac{7}{8} - \frac{2}{8} = \frac{5}{8} $
- Answer: $ 1\frac{5}{8} $
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b. $ 9\frac{3}{4} - 5\frac{2}{4} $
- Whole numbers: $ 9 - 5 = 4 $
- Fractions: $ \frac{3}{4} - \frac{2}{4} = \frac{1}{4} $
- Answer: $ 4\frac{1}{4} $
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c. $ 7\frac{2}{3} - 2\frac{1}{3} $
- Whole numbers: $ 7 - 2 = 5 $
- Fractions: $ \frac{2}{3} - \frac{1}{3} = \frac{1}{3} $
- Answer: $ 5\frac{1}{3} $
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d. $ 5\frac{7}{9} - 3\frac{3}{9} $
- Whole numbers: $ 5 - 3 = 2 $
- Fractions: $ \frac{7}{9} - \frac{3}{9} = \frac{4}{9} $
- Answer: $ 2\frac{4}{9} $
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e. $ 8\frac{9}{11} - 5\frac{7}{11} $
- Whole numbers: $ 8 - 5 = 3 $
- Fractions: $ \frac{9}{11} - \frac{7}{11} = \frac{2}{11} $
- Answer: $ 3\frac{2}{11} $
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f. $ 19\frac{4}{5} - 12\frac{2}{5} $
- Whole numbers: $ 19 - 12 = 7 $
- Fractions: $ \frac{4}{5} - \frac{2}{5} = \frac{2}{5} $
- Answer: $ 7\frac{2}{5} $
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g. $ 17\frac{5}{7} - 4\frac{2}{7} $
- Whole numbers: $ 17 - 4 = 13 $
- Fractions: $ \frac{5}{7} - \frac{2}{7} = \frac{3}{7} $
- Answer: $ 13\frac{3}{7} $
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h. $ 3\frac{5}{6} - 2\frac{5}{6} $
- Whole numbers: $ 3 - 2 = 1 $
- Fractions: $ \frac{5}{6} - \frac{5}{6} = 0 $
- So, just $ 1 + 0 = 1 $
- Answer: $ 1 $
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i. $ 7\frac{11}{12} - 1\frac{5}{12} $
- Whole numbers: $ 7 - 1 = 6 $
- Fractions: $ \frac{11}{12} - \frac{5}{12} = \frac{6}{12} = \frac{1}{2} $ (simplified)
- Answer: $ 6\frac{1}{2} $
*(Note: We simplified $\frac{6}{12}$ to $\frac{1}{2}$ because both numerator and denominator can be divided by 6.)*
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j. $ 25\frac{6}{10} - 11\frac{3}{10} $
- Whole numbers: $ 25 - 11 = 14 $
- Fractions: $ \frac{6}{10} - \frac{3}{10} = \frac{3}{10} $
- Answer: $ 14\frac{3}{10} $
*(We don’t need to simplify $\frac{3}{10}$ — it’s already in simplest form.)*
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k. $ 11\frac{5}{9} - 9\frac{4}{9} $
- Whole numbers: $ 11 - 9 = 2 $
- Fractions: $ \frac{5}{9} - \frac{4}{9} = \frac{1}{9} $
- Answer: $ 2\frac{1}{9} $
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l. $ 8\frac{5}{8} - 7\frac{1}{8} $
- Whole numbers: $ 8 - 7 = 1 $
- Fractions: $ \frac{5}{8} - \frac{1}{8} = \frac{4}{8} = \frac{1}{2} $ (simplified)
- Answer: $ 1\frac{1}{2} $
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Final Answer:
a. $ 1\frac{5}{8} $
b. $ 4\frac{1}{4} $
c. $ 5\frac{1}{3} $
d. $ 2\frac{4}{9} $
e. $ 3\frac{2}{11} $
f. $ 7\frac{2}{5} $
g. $ 13\frac{3}{7} $
h. $ 1 $
i. $ 6\frac{1}{2} $
j. $ 14\frac{3}{10} $
k. $ 2\frac{1}{9} $
l. $ 1\frac{1}{2} $
Parent Tip: Review the logic above to help your child master the concept of subtracting mixed fractions with like denominators.
