Answered: "Find the difference by converting the mixed numbers..."

arneguet9k

Answered question

2021-11-18

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

4 \frac{4}{9} - 3 \frac{7}{9}

Answer & Explanation

Wriedge

Beginner2021-11-19Added 12 answers

Calculation:
Writing the mixed numbers as improper functions,

6 \frac{4}{9} - 3 \frac{7}{9} = \frac{9 (6) + 4}{9} - \frac{9 (3) + 7}{9}

6 \frac{4}{9} - 3 \frac{7}{9} = \frac{54 + 4}{9} - \frac{27 + 7}{9}

6 \frac{4}{9} - 3 \frac{7}{9} = \frac{58}{9} - \frac{34}{9}

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 operations.
Hence,

6 \frac{4}{9} - 3 \frac{7}{9} = \frac{58 - 34}{9}

6 \frac{4}{9} - 3 \frac{7}{9} = \frac{24}{9}

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

6 \frac{4}{9} - 3 \frac{7}{9} = \frac{18 + 6}{9}

6 \frac{4}{9} - 3 \frac{7}{9} = \frac{18}{9} + \frac{6}{9}

6 \frac{4}{9} - 3 \frac{7}{9} = 2 + \frac{2}{3}

6 \frac{4}{9} - 3 \frac{7}{9} = 2 \frac{2}{3}

Therefore,

6 \frac{4}{9} - 3 \frac{7}{9} = 2 \frac{2}{3}

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