What is 8 1/5+(3 2/5+5 4/5) ?

The solution to 8 1/5+(3 2/5+5 4/5) is 17 2/5

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8 1/5+(3 2/5+5 4/5)

8 \frac{1}{5} + (3 \frac{2}{5} + 5 \frac{4}{5})

17 \frac{2}{5}

Solution steps

8 \frac{1}{5} + (3 \frac{2}{5} + 5 \frac{4}{5})

Convert mixed numbers to improper fractions:

8 \frac{1}{5} = \frac{41}{5}

= \frac{41}{5} + (3 \frac{2}{5} + 5 \frac{4}{5})

Convert mixed numbers to improper fractions:

3 \frac{2}{5} = \frac{17}{5}

= \frac{41}{5} + (\frac{17}{5} + 5 \frac{4}{5})

Convert mixed numbers to improper fractions:

5 \frac{4}{5} = \frac{29}{5}

= \frac{41}{5} + (\frac{17}{5} + \frac{29}{5})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{17}{5} + \frac{29}{5}) : \frac{46}{5}

= \frac{41}{5} + \frac{46}{5}

Add and subtract (left to right)

\frac{41}{5} + \frac{46}{5} : \frac{87}{5}

= \frac{87}{5}

Convert improper fractions to mixed numbers:

\frac{87}{5} = 17 \frac{2}{5}

= 17 \frac{2}{5}

2 (\frac{1}{3} + \frac{1}{2})

23 (\frac{1}{46} - \frac{9}{15})

1 - 9^{2}

(12 - 2^{4})^{3}

16 (1)^{2}