What is 2/5 \div 4/9 ?

The solution to 2/5 \div 4/9 is 9/10

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2/5 \div 4/9

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

\frac{9}{10}

Solution steps

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

Apply the fraction rule:

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

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

Cross-cancel common factor:

2

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

Multiply fractions:

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

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

Multiply the numbers:

1 \times 9 = 9

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

Multiply the numbers:

5 \times 2 = 10

= \frac{9}{10}

+ 1000 0^{\frac{3}{4}}

16 - 16

- \frac{3}{2} \cdot (- \frac{3}{2})

- 5.27 + (- 3.32)

\frac{\frac{1}{5}}{\frac{1}{2}}