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

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6\div 4/3

Solution

6 \div \frac{4}{3}

\frac{9}{2}

Solution steps

6 \div \frac{4}{3}

Convert element to fraction:

6 = \frac{6}{1}

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

Apply the fraction rule:

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

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

Cross-cancel common factor:

2

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

Multiply fractions:

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

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

Multiply the numbers:

3 \times 3 = 9

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

Multiply the numbers:

1 \times 2 = 2

= \frac{9}{2}

17 \times 9

18 + 72

2 x^{2} + 2 x - 8

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

\frac{30}{150}