What is 2/9 \div 4/5 ?

The solution to 2/9 \div 4/5 is 5/18

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2/9 \div 4/5

\frac{2}{9} \div \frac{4}{5}

\frac{5}{18}

Solution steps

\frac{2}{9} \div \frac{4}{5}

Apply the fraction rule:

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

= \frac{2}{9} \times \frac{5}{4}

Cross-cancel common factor:

2

= \frac{1}{9} \times \frac{5}{2}

Multiply fractions:

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

= \frac{1 \times 5}{9 \times 2}

Multiply the numbers:

1 \times 5 = 5

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

Multiply the numbers:

9 \times 2 = 18

= \frac{5}{18}

4 + - 4 + 36 + - 4

14 x^{2} - 21 x

x^{2} 150 x - 9 x 54 x^{3}

\frac{25}{200}

2 4^{5}