What is 9/10 \div 1/3 ?

The solution to 9/10 \div 1/3 is 27/10

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9/10 \div 1/3

\frac{9}{10} \div \frac{1}{3}

\frac{27}{10}

Solution steps

\frac{9}{10} \div \frac{1}{3}

Apply the fraction rule:

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

= \frac{9}{10} \times \frac{3}{1}

Apply rule

\frac{a}{1} = a

= 3 \times \frac{9}{10}

Convert element to fraction:

3 = \frac{3}{1}

= \frac{3}{1} \times \frac{9}{10}

Multiply fractions:

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

= \frac{9 \times 3}{10 \times 1}

Multiply the numbers:

9 \times 3 = 27

= \frac{27}{10 \times 1}

Multiply the numbers:

10 \times 1 = 10

= \frac{27}{10}

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