What is 5/9 (14-32) ?

The solution to 5/9 (14-32) is -10

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5/9 (14-32)

\frac{5}{9} (14 - 32)

- 10

Solution steps

\frac{5}{9} (14 - 32)

Follow the PEMDAS order of operations

Calculate within parentheses

(14 - 32) : - 18

14 - 32

14 - 32 = - 18

= - 18

= \frac{5}{9} (- 18)

Multiply and divide (left to right)

\frac{5}{9} (- 18) : - 10

\frac{5}{9} (- 18)

Apply rule

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

\frac{5}{9} (- 18) = - \frac{5}{9} \cdot 18

Convert element to fraction:

18 = \frac{18}{1}

= - \frac{5}{9} \cdot \frac{18}{1}

Apply the fraction rule:

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

\frac{5}{9} \cdot \frac{18}{1} = \frac{5 \cdot 18}{9 \cdot 1}

= - \frac{5 \cdot 18}{9 \cdot 1}

Cancel

\frac{5 \cdot 18}{9 \cdot 1} : 10

\frac{5 \cdot 18}{9 \cdot 1}

Multiply the numbers:

9 \cdot 1 = 9

= \frac{5 \cdot 18}{9}

Divide the numbers:

\frac{18}{9} = 2

= 5 \cdot 2

Multiply the numbers:

5 \cdot 2 = 10

= 10

= - 10

= - 10

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

12 \times 3 - 3 \times 4 - 2 + 6

- 4 (2) + 1

- 4 (2) + 4

- 4 (2) + 6