What is (3 2/5+1 7/8)+2 1/5 ?

The solution to (3 2/5+1 7/8)+2 1/5 is 7 19/40

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(3 2/5+1 7/8)+2 1/5

(3 \frac{2}{5} + 1 \frac{7}{8}) + 2 \frac{1}{5}

7 \frac{19}{40}

Solution steps

(3 \frac{2}{5} + 1 \frac{7}{8}) + 2 \frac{1}{5}

Convert mixed numbers to improper fractions:

2 \frac{1}{5} = \frac{11}{5}

= (3 \frac{2}{5} + 1 \frac{7}{8}) + \frac{11}{5}

Convert mixed numbers to improper fractions:

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

= (\frac{17}{5} + 1 \frac{7}{8}) + \frac{11}{5}

Convert mixed numbers to improper fractions:

1 \frac{7}{8} = \frac{15}{8}

= (\frac{17}{5} + \frac{15}{8}) + \frac{11}{5}

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{17}{5} + \frac{15}{8}) : \frac{211}{40}

= \frac{211}{40} + \frac{11}{5}

Add and subtract (left to right)

\frac{211}{40} + \frac{11}{5} : \frac{299}{40}

= \frac{299}{40}

Convert improper fractions to mixed numbers:

\frac{299}{40} = 7 \frac{19}{40}

= 7 \frac{19}{40}

1 - 5 (- 56)

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

- 90 + [(45 - 23 \cdot 2 + 5) \cdot 4]

4^{3} - 2^{3}

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