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2021-11-16

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

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

Troy Lesure

Beginner2021-11-17Added 26 answers

Calculation:

Given:$4\frac{4}{7}-2\frac{6}{7}$ ,

Writing the mixed numbers as improper functions,

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

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

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

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

Given:

Writing the mixed numbers as improper functions,

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,

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

Therefore,

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