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Solve the subtraction problem: 6 rac25 - 1 rac35

Mathematics

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Answer

4454\frac{4}{5}

Step-by-step solution

3 steps

Here is the solution to the problem:

625−1356\frac{2}{5} - 1\frac{3}{5}
  1. Convert both mixed numbers to improper fractions.

    625=(6×5)+25=30+25=3256\frac{2}{5} = \frac{(6 \times 5) + 2}{5} = \frac{30 + 2}{5} = \frac{32}{5} 135=(1×5)+35=5+35=851\frac{3}{5} = \frac{(1 \times 5) + 3}{5} = \frac{5 + 3}{5} = \frac{8}{5}
  2. Subtract the improper fractions.

    325−85=32−85=245\frac{32}{5} - \frac{8}{5} = \frac{32 - 8}{5} = \frac{24}{5}
  3. Convert the improper fraction back to a mixed number.

    245=4 with a remainder of 4\frac{24}{5} = 4 \text{ with a remainder of } 4

    So, the result is 4454\frac{4}{5}.

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