What is 8/15 \div 12/25 ?

The solution to 8/15 \div 12/25 is 10/9

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8/15 \div 12/25

\frac{8}{15} \div \frac{12}{25}

\frac{10}{9}

Solution steps

\frac{8}{15} \div \frac{12}{25}

Apply the fraction rule:

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

= \frac{8}{15} \times \frac{25}{12}

Multiply fractions:

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

= \frac{8 \times 25}{15 \times 12}

Multiply the numbers:

8 \times 25 = 200

= \frac{200}{15 \times 12}

Multiply the numbers:

15 \times 12 = 180

= \frac{200}{180}

Cancel the common factor:

20

= \frac{10}{9}

\frac{18}{26}

\frac{18}{52}

\frac{8}{3} \div 5

\frac{6}{216}