What is 1/7 \times (3+1 1/5) ?

The solution to 1/7 \times (3+1 1/5) is 3/5

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1/7 \times (3+1 1/5)

\frac{1}{7} \cdot (3 + 1 \frac{1}{5})

\frac{3}{5}

Solution steps

\frac{1}{7} \cdot (3 + 1 \frac{1}{5})

Convert mixed numbers to improper fractions:

1 \frac{1}{5} = \frac{6}{5}

= \frac{1}{7} \cdot (3 + \frac{6}{5})

Follow the PEMDAS order of operations

Calculate within parentheses

(3 + \frac{6}{5}) : \frac{21}{5}

= \frac{1}{7} \cdot \frac{21}{5}

Multiply and divide (left to right)

\frac{1}{7} \cdot \frac{21}{5} : \frac{3}{5}

= \frac{3}{5}

- (- 2)^{2} - 1

2 (2)^{2} + 1 (2) + (2 (4) - 4)

5 (12) + 3

5 \times (- 2) - 2

9 - (16 + 25)