What is 2/3 \div 5/6 ?

The solution to 2/3 \div 5/6 is 4/5

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2/3 \div 5/6

\frac{2}{3} \div \frac{5}{6}

\frac{4}{5}

Solution steps

\frac{2}{3} \div \frac{5}{6}

Apply the fraction rule:

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

= \frac{2}{3} \times \frac{6}{5}

Cross-cancel common factor:

3

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

Multiply fractions:

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

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

Multiply the numbers:

2 \times 2 = 4

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

Multiply the numbers:

1 \times 5 = 5

= \frac{4}{5}

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