What is 5/2 \div 9/4 ?

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

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5/2 \div 9/4

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

\frac{10}{9}

Solution steps

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

Apply the fraction rule:

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

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

Cross-cancel common factor:

2

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

Multiply fractions:

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

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

Multiply the numbers:

5 \times 2 = 10

= \frac{10}{1 \times 9}

Multiply the numbers:

1 \times 9 = 9

= \frac{10}{9}

\frac{30 a ^{6} b ^{10} + 12 a ^{4} b ^{6} - 9 a ^{10} b ^{4}}{3 ab}

\frac{8 - x}{8 + x}

3 x^{2} + 15 x - 18

\frac{16 m ^{2} - 4 m - 6}{4 m + 2}

2 a + [a - (a + b)]