What is 7/45 \div 14/15 ?

The solution to 7/45 \div 14/15 is 1/6

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7/45 \div 14/15

\frac{7}{45} \div \frac{14}{15}

\frac{1}{6}

Solution steps

\frac{7}{45} \div \frac{14}{15}

Apply the fraction rule:

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

= \frac{7}{45} \times \frac{15}{14}

Multiply fractions:

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

= \frac{7 \times 15}{45 \times 14}

Multiply the numbers:

7 \times 15 = 105

= \frac{105}{45 \times 14}

Multiply the numbers:

45 \times 14 = 630

= \frac{105}{630}

Cancel the common factor:

105

= \frac{1}{6}

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