What is 1/4 \div 5/6 ?

The solution to 1/4 \div 5/6 is 3/10

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1/4 \div 5/6

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

\frac{3}{10}

Solution steps

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

Apply the fraction rule:

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

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

Cross-cancel common factor:

2

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

Multiply fractions:

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

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

Multiply the numbers:

1 \times 3 = 3

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

Multiply the numbers:

2 \times 5 = 10

= \frac{3}{10}

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