What is (-1)/4 \div 6/8 ?

The solution to (-1)/4 \div 6/8 is -1/3

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(-1)/4 \div 6/8

\frac{- 1}{4} \div \frac{6}{8}

- \frac{1}{3}

Solution steps

\frac{- 1}{4} \div \frac{6}{8}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{- 1}{4} \times \frac{8}{6}

Cross-cancel common factor:

4

= \frac{- 1}{1} \times \frac{2}{6}

Multiply fractions:

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

= \frac{( - 1 ) \times 2}{1 \times 6}

Remove parentheses:

(- a) = - a

= \frac{- 1 \times 2}{1 \times 6}

Multiply the numbers:

1 \times 2 = 2

= \frac{- 2}{1 \times 6}

Multiply the numbers:

1 \times 6 = 6

= \frac{- 2}{6}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{2}{6}

Cancel the common factor:

2

= - \frac{1}{3}

- 2150

4 (2 p + 4 q + 6)

3 n + 3 (1 + 8 n)

7 \cdot 7^{- 5}

(- 5 k^{2} - 11 k + 18) + (3 k^{2} + 8 k - 2)