What is -1/6 (-8/9+1) ?

The solution to -1/6 (-8/9+1) is -1/54

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-1/6 (-8/9+1)

- \frac{1}{6} (- \frac{8}{9} + 1)

- \frac{1}{54}

Solution steps

- \frac{1}{6} (- \frac{8}{9} + 1)

Follow the PEMDAS order of operations

Calculate within parentheses

(- \frac{8}{9} + 1) : \frac{1}{9}

- \frac{8}{9} + 1

- \frac{8}{9} + 1 = \frac{1}{9}

- \frac{8}{9} + 1

Convert element to fraction:

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

= \frac{1 \cdot 9}{9} - \frac{8}{9}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{1 \cdot 9 - 8}{9}

1 \cdot 9 - 8 = 1

1 \cdot 9 - 8

Multiply the numbers:

1 \cdot 9 = 9

= 9 - 8

Subtract the numbers:

9 - 8 = 1

= 1

= \frac{1}{9}

= \frac{1}{9}

= - \frac{1}{6} \cdot \frac{1}{9}

Multiply and divide (left to right)

- \frac{1}{6} \cdot \frac{1}{9} : - \frac{1}{54}

- \frac{1}{6} \cdot \frac{1}{9}

Apply the fraction rule:

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

\frac{1}{6} \cdot \frac{1}{9} = \frac{1 \cdot 1}{6 \cdot 9}

= - \frac{1 \cdot 1}{6 \cdot 9}

Multiply the numbers:

1 \cdot 1 = 1

= - \frac{1}{6 \cdot 9}

Multiply the numbers:

6 \cdot 9 = 54

= - \frac{1}{54}

= - \frac{1}{54}

- 6 (- 1)^{2}

10 - (9 - (8 - 7))

- 2 (2) + 6

- 2 (2) + 8

2 + (3 \div (10 - 11) + 1) \div 2