What is 3/2 \div 7/6 ?

The solution to 3/2 \div 7/6 is 9/7

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3/2 \div 7/6

\frac{3}{2} \div \frac{7}{6}

\frac{9}{7}

Solution steps

\frac{3}{2} \div \frac{7}{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}{7}

Cross-cancel common factor:

2

= \frac{3}{1} \times \frac{3}{7}

Multiply fractions:

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

= \frac{3 \times 3}{1 \times 7}

Multiply the numbers:

3 \times 3 = 9

= \frac{9}{1 \times 7}

Multiply the numbers:

1 \times 7 = 7

= \frac{9}{7}

3 \cdot 1 0^{- 7}

\frac{- 2 ( v ^{- 1} ) ^{2}}{- 5 v}

18 - (- 4)

9 + 45