What is 6/7 \div 4/5 ?

The solution to 6/7 \div 4/5 is 15/14

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6/7 \div 4/5

\frac{6}{7} \div \frac{4}{5}

\frac{15}{14}

Solution steps

\frac{6}{7} \div \frac{4}{5}

Apply the fraction rule:

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

= \frac{6}{7} \times \frac{5}{4}

Cross-cancel common factor:

2

= \frac{3}{7} \times \frac{5}{2}

Multiply fractions:

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

= \frac{3 \times 5}{7 \times 2}

Multiply the numbers:

3 \times 5 = 15

= \frac{15}{7 \times 2}

Multiply the numbers:

7 \times 2 = 14

= \frac{15}{14}

(2 x - 5) (3 x - 4)

\frac{23}{7}

\frac{1}{2} + \frac{1}{3} - \frac{1}{4}

\frac{5 ^{4}}{5 ^{3}}

- 10192 - 27