What is 3/4 \div 1/48 ?

The solution to 3/4 \div 1/48 is 36

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3/4 \div 1/48

\frac{3}{4} \div \frac{1}{48}

36

Solution steps

\frac{3}{4} \div \frac{1}{48}

Apply the fraction rule:

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

= \frac{3}{4} \times \frac{48}{1}

Cross-cancel common factor:

4

= \frac{3}{1} \times \frac{12}{1}

Multiply fractions:

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

= \frac{3 \times 12}{1 \times 1}

Multiply the numbers:

3 \times 12 = 36

= \frac{36}{1 \times 1}

Multiply the numbers:

1 \times 1 = 1

= \frac{36}{1}

Apply rule

\frac{a}{1} = a

= 36

\frac{x}{x ^{2} + 2}

\frac{\frac{1}{y ^{2}} - 9}{\frac{1}{y} + 3}

\frac{2}{2 x - 9} + \frac{1}{2 x - 9}

\frac{1}{x + 1} + \frac{1}{x}

+ 21 6^{- \frac{4}{3}}