What is 7/8 \div 5/6 ?

The solution to 7/8 \div 5/6 is 21/20

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7/8 \div 5/6

\frac{7}{8} \div \frac{5}{6}

\frac{21}{20}

Solution steps

\frac{7}{8} \div \frac{5}{6}

Apply the fraction rule:

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

= \frac{7}{8} \times \frac{6}{5}

Cross-cancel common factor:

2

= \frac{7}{4} \times \frac{3}{5}

Multiply fractions:

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

= \frac{7 \times 3}{4 \times 5}

Multiply the numbers:

7 \times 3 = 21

= \frac{21}{4 \times 5}

Multiply the numbers:

4 \times 5 = 20

= \frac{21}{20}

\frac{8 w ^{2} - 20 w - 12}{2 w + 1}

r^{2} - 5 r - 24

\frac{1}{6} \times 100

\frac{38}{40}