The solution to 3/4 (-8)-5 is -11

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3/4 (-8)-5

Solution

\frac{3}{4} (- 8) - 5

- 11

Solution steps

\frac{3}{4} (- 8) - 5

Follow the PEMDAS order of operations

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 - 5

Add and subtract (left to right)

- 6 - 5 : - 11

- 6 - 5

- 6 - 5 = - 11

= - 11

= - 11

9 - 2 (5 - 4)

3 - 5 - 5 (3)^{2}

2 + 5 (3) - 8

(14 \times 4) + (14 \times 2)

\frac{3}{2} + 1^{3} + 1 \frac{1}{10}