What is -27-8(-44/15) ?

The solution to -27-8(-44/15) is -53/15

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-27-8(-44/15)

- 27 - 8 (- \frac{44}{15})

- \frac{53}{15}

Solution steps

- 27 - 8 (- \frac{44}{15})

Follow the PEMDAS order of operations

Multiply and divide (left to right)

8 (- \frac{44}{15}) : - \frac{352}{15}

8 (- \frac{44}{15})

Apply rule

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

8 (- \frac{44}{15}) = - 8 \cdot \frac{44}{15}

Convert element to fraction:

8 = \frac{8}{1}

= - \frac{8}{1} \cdot \frac{44}{15}

Apply the fraction rule:

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

\frac{8}{1} \cdot \frac{44}{15} = \frac{8 \cdot 44}{1 \cdot 15}

= - \frac{8 \cdot 44}{1 \cdot 15}

Multiply the numbers:

8 \cdot 44 = 352

= - \frac{352}{1 \cdot 15}

Multiply the numbers:

1 \cdot 15 = 15

= - \frac{352}{15}

= - 27 - (- \frac{352}{15})

Add and subtract (left to right)

- 27 - (- \frac{352}{15}) : - \frac{53}{15}

- 27 - (- \frac{352}{15})

Apply rule

- (- a) = + a

- (- \frac{352}{15}) = + \frac{352}{15}

= - 27 + \frac{352}{15}

- 27 + \frac{352}{15} = - \frac{53}{15}

= - \frac{53}{15}

= - \frac{53}{15}

\frac{- 4 + 3}{- 4 - 1}

(- 3)^{2} + 10 (- 3) + 25

16 \div 4 + (5^{2} - 32 \div 4) - (36 - 21)

- 7 - [1 + (- 11)]

1 - \frac{1}{6} - \frac{1}{4}