How do you simplify (4 3/5+6 1/3)+2 3/5?

1 Answer
Nov 8, 2016

$13 \frac{8}{15}$

Explanation:

The brackets are not necessary because there is only addition.

$4 \frac{3}{5} + 6 \frac{1}{3} + 2 \frac{3}{5} \text{ } \leftarrow$ add the whole numbers

=$12 \frac{9 + 5 + 9}{15} \text{ } \leftarrow$ convert to a common denominator $\downarrow$

=$12 \frac{23}{15}$

=$12 + 1 \frac{8}{15}$

=$13 \frac{8}{15}$

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converting to equivalent fractions:

$\frac{3}{5} \times \frac{3}{3} = \frac{9}{15}$

$\frac{1}{3} \times \frac{5}{5} = \frac{5}{15}$

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The method of converting all the fractions to improper fractions is also possible, but leads to large numbers.