The solution to (3/4)(-8) is -6

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(3/4)(-8)

Solution

(3/4) (- 8)

- 6

Solution steps

(3/4) (- 8)

Follow the PEMDAS order of operations

Calculate within parentheses

(3/4) : \frac{3}{4}

3/4

3/4 = \frac{3}{4}

= \frac{3}{4}

= \frac{3}{4} (- 8)

Multiply and divide (left to right)

\frac{3}{4} (- 8) : - 6

\frac{3}{4} (- 8)

Apply rule

a \cdot (- b) = - a \cdot b

\frac{3}{4} (- 8) = - \frac{3}{4} \cdot 8

Convert element to fraction:

8 = \frac{8}{1}

= - \frac{3}{4} \cdot \frac{8}{1}

Apply the fraction rule:

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

\frac{3}{4} \cdot \frac{8}{1} = \frac{3 \cdot 8}{4 \cdot 1}

= - \frac{3 \cdot 8}{4 \cdot 1}

Cancel

\frac{3 \cdot 8}{4 \cdot 1} : 6

\frac{3 \cdot 8}{4 \cdot 1}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{3 \cdot 8}{4}

Divide the numbers:

\frac{8}{4} = 2

= 3 \cdot 2

Multiply the numbers:

3 \cdot 2 = 6

= 6

= - 6

= - 6

6 \times [5 \times (- 12 + 4) - (5 - 13)] \div (- 2)

(1 - 5)^{2}

(- 7)^{2} \div (- 7) + (- 3)^{2} + 5^{0} - 1^{20}

(5)^{2} - 4 (5)

(- 2) + (+ 5) + (+ 7) + (- 6)