What is (-10)/3 \div 7/9 ?

The solution to (-10)/3 \div 7/9 is -30/7

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(-10)/3 \div 7/9

\frac{- 10}{3} \div \frac{7}{9}

- \frac{30}{7}

Solution steps

\frac{- 10}{3} \div \frac{7}{9}

Apply the fraction rule:

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

= \frac{- 10}{3} \times \frac{9}{7}

Cross-cancel common factor:

3

= \frac{- 10}{1} \times \frac{3}{7}

Multiply fractions:

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

= \frac{( - 10 ) \times 3}{1 \times 7}

Remove parentheses:

(- a) = - a

= \frac{- 10 \times 3}{1 \times 7}

Multiply the numbers:

10 \times 3 = 30

= \frac{- 30}{1 \times 7}

Multiply the numbers:

1 \times 7 = 7

= \frac{- 30}{7}

Apply the fraction rule:

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

= - \frac{30}{7}

\frac{42}{49}

(c^{5}) (c) (c^{2})

5 (2 x - 3)

(s + t)^{3}

- 1 9^{2}