What is 3/2 \div 1/6 ?

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

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3/2 \div 1/6

\frac{3}{2} \div \frac{1}{6}

9

Solution steps

\frac{3}{2} \div \frac{1}{6}

Apply the fraction rule:

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

= \frac{3}{2} \times \frac{6}{1}

Cross-cancel common factor:

2

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

Multiply fractions:

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

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

Multiply the numbers:

3 \times 3 = 9

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

Multiply the numbers:

1 \times 1 = 1

= \frac{9}{1}

Apply rule

\frac{a}{1} = a

= 9

x^{1} \cdot x^{- 3} \cdot x^{2}

(x^{\frac{3}{7}})^{2}

(y^{2} + 1)^{3}

- 9 2 x^{3} - 6 x 72 x

\frac{x ^{2} - 1}{x ^{3} + 1}