What is 3/5 \div 7/10 ?

The solution to 3/5 \div 7/10 is 6/7

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3/5 \div 7/10

\frac{3}{5} \div \frac{7}{10}

\frac{6}{7}

Solution steps

\frac{3}{5} \div \frac{7}{10}

Apply the fraction rule:

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

= \frac{3}{5} \times \frac{10}{7}

Cross-cancel common factor:

5

= \frac{3}{1} \times \frac{2}{7}

Multiply fractions:

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

= \frac{3 \times 2}{1 \times 7}

Multiply the numbers:

3 \times 2 = 6

= \frac{6}{1 \times 7}

Multiply the numbers:

1 \times 7 = 7

= \frac{6}{7}

\frac{3}{x + 1} + \frac{5}{x ^{2} - 2 x - 3}

sin^{2} (x) + sin^{2} (x) cot^{2} (x)

(6 r - 1) (- 8 r - 3)

3 a (8 a - 6 b)

- a^{4} + 4 - 9 a^{4} - 3 - 4 a^{2}