What is 2/9 \div 5/12 ?

The solution to 2/9 \div 5/12 is 8/15

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2/9 \div 5/12

\frac{2}{9} \div \frac{5}{12}

\frac{8}{15}

Solution steps

\frac{2}{9} \div \frac{5}{12}

Apply the fraction rule:

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

= \frac{2}{9} \times \frac{12}{5}

Cross-cancel common factor:

3

= \frac{2}{3} \times \frac{4}{5}

Multiply fractions:

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

= \frac{2 \times 4}{3 \times 5}

Multiply the numbers:

2 \times 4 = 8

= \frac{8}{3 \times 5}

Multiply the numbers:

3 \times 5 = 15

= \frac{8}{15}

(\frac{2}{1})^{2}

3 (x + y) - 5 (x - y)

5 \cdot \frac{a}{5}

\frac{4 z ^{- 1}}{- 3 ( z ^{5} ) ^{3}}

16 x^{6} - 2 x^{3} y^{2} + \frac{y ^{4}}{16}