The solution to 4/5 \div 6 is 2/15

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4/5 \div 6

Solution

\frac{4}{5} \div 6

\frac{2}{15}

Solution steps

\frac{4}{5} \div 6

Convert element to fraction:

6 = \frac{6}{1}

= \frac{4}{5} \div \frac{6}{1}

Apply the fraction rule:

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

= \frac{4}{5} \times \frac{1}{6}

Cross-cancel common factor:

2

= \frac{2}{5} \times \frac{1}{3}

Multiply fractions:

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

= \frac{2 \times 1}{5 \times 3}

Multiply the numbers:

2 \times 1 = 2

= \frac{2}{5 \times 3}

Multiply the numbers:

5 \times 3 = 15

= \frac{2}{15}

25 + 80

290

(4 x^{2} y^{- 2})^{2}

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(3 x^{- 3})^{- 4} x^{- 4}