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goymdujf

Answered question

2021-11-16

Find the difference by converting the mixed numbers to improper fractions:

4 \frac{4}{7} - 2 \frac{6}{7}

Answer & Explanation

Troy Lesure

Beginner2021-11-17Added 26 answers

Calculation:
Given:

4 \frac{4}{7} - 2 \frac{6}{7}

,
Writing the mixed numbers as improper functions,

4 \frac{4}{7} - 2 \frac{6}{7} = \frac{7 (4) + 4}{7} - \frac{7 (2) + 6}{7}

4 \frac{4}{7} - 2 \frac{6}{7} = \frac{28 + 4}{7} - \frac{14 + 6}{7}

4 \frac{4}{7} - 2 \frac{6}{7} = \frac{32}{7} - \frac{20}{7}

To add or subtract rational numbers the denominators need to be equal.
When the denominators are equal, the numerators can be added or subtracted as per the operation.
Hence,

4 \frac{4}{7} - 2 \frac{6}{7} = \frac{32 - 20}{7}

4 \frac{4}{7} - 2 \frac{6}{7} = \frac{12}{7}

To convert the improper fraction to mixed fraction, the numerator is written as sum of a multiple of denominator and the remainder.

4 \frac{4}{7} - 2 \frac{6}{7} = \frac{7 + 5}{7}

4 \frac{4}{7} - 2 \frac{6}{7} = \frac{7}{7} + \frac{5}{7}

4 \frac{4}{7} - 2 \frac{6}{7} = 1 + \frac{5}{7}

4 \frac{4}{7} - 2 \frac{6}{7} = 1 \frac{5}{7}

Therefore,

4 \frac{4}{7} - 2 \frac{6}{7} = 1 \frac{5}{7}

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