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6\div 3/2

Solution

6 \div \frac{3}{2}

4

Solution steps

6 \div \frac{3}{2}

Convert element to fraction:

6 = \frac{6}{1}

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

Apply the fraction rule:

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

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

Cross-cancel common factor:

3

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

Multiply fractions:

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

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

Multiply the numbers:

2 \times 2 = 4

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

Multiply the numbers:

1 \times 1 = 1

= \frac{4}{1}

Apply rule

\frac{a}{1} = a

= 4

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