What is 3/4 \div 1/6 ?

The solution to 3/4 \div 1/6 is 9/2

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3/4 \div 1/6

\frac{3}{4} \div \frac{1}{6}

\frac{9}{2}

Solution steps

\frac{3}{4} \div \frac{1}{6}

Apply the fraction rule:

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

= \frac{3}{4} \times \frac{6}{1}

Cross-cancel common factor:

2

= \frac{3}{2} \times \frac{3}{1}

Multiply fractions:

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

= \frac{3 \times 3}{2 \times 1}

Multiply the numbers:

3 \times 3 = 9

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

Multiply the numbers:

2 \times 1 = 2

= \frac{9}{2}

\frac{24}{- 4}

\frac{24}{20}

\frac{3}{5} + \frac{4}{7}

\frac{900}{6 5}

lo g_{10} (0.4)