What is 2(-7\div 8) ?

The solution to 2(-7\div 8) is -7/4

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2(-7\div 8)

2 (- 7 \div 8)

- \frac{7}{4}

Solution steps

2 (- 7 \div 8)

Follow the PEMDAS order of operations

Calculate within parentheses

(- 7 \div 8) : \frac{- 7}{8}

- 7 \div 8

- 7 \div 8 = \frac{- 7}{8}

= \frac{- 7}{8}

= 2 \cdot \frac{- 7}{8}

Multiply and divide (left to right)

2 \cdot \frac{- 7}{8} : - \frac{7}{4}

2 \cdot \frac{- 7}{8}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

\frac{- 7}{8} = - \frac{7}{8}

= 2 (- \frac{7}{8})

Apply rule:

a (- b) = - ab

2 (- \frac{7}{8}) = - 2 \cdot \frac{7}{8}

= - 2 \cdot \frac{7}{8}

- 2 \cdot \frac{7}{8} = - \frac{7}{4}

- 2 \cdot \frac{7}{8}

Convert element to fraction:

2 = \frac{2}{1}

= - \frac{2}{1} \cdot \frac{7}{8}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

\frac{2}{1} \cdot \frac{7}{8} = \frac{2 \cdot 7}{1 \cdot 8}

= - \frac{2 \cdot 7}{1 \cdot 8}

\frac{2 \cdot 7}{1 \cdot 8} = \frac{7}{4}

\frac{2 \cdot 7}{1 \cdot 8}

Multiply the numbers:

1 \cdot 8 = 8

= \frac{2 \cdot 7}{8}

Factor the number:

8 = 2 \cdot 4

= \frac{2 \cdot 7}{2 \cdot 4}

Cancel the common factor:

2

= \frac{7}{4}

= - \frac{7}{4}

= - \frac{7}{4}

= - \frac{7}{4}

1500 - \frac{1}{4} (20)

5^{2} - 6 (5) + 6

3 + 2 \times 2

9 + (15 - (5 - 8) - 10)

\frac{1}{4} (2)^{5}