What is 7/4 \div 3/2 ?

The solution to 7/4 \div 3/2 is 7/6

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7/4 \div 3/2

\frac{7}{4} \div \frac{3}{2}

\frac{7}{6}

Solution steps

\frac{7}{4} \div \frac{3}{2}

Apply the fraction rule:

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

= \frac{7}{4} \times \frac{2}{3}

Cross-cancel common factor:

2

= \frac{7}{2} \times \frac{1}{3}

Multiply fractions:

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

= \frac{7 \times 1}{2 \times 3}

Multiply the numbers:

7 \times 1 = 7

= \frac{7}{2 \times 3}

Multiply the numbers:

2 \times 3 = 6

= \frac{7}{6}

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