What is 5/6 \div 3/4 ?

The solution to 5/6 \div 3/4 is 10/9

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5/6 \div 3/4

\frac{5}{6} \div \frac{3}{4}

\frac{10}{9}

Solution steps

\frac{5}{6} \div \frac{3}{4}

Apply the fraction rule:

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

= \frac{5}{6} \times \frac{4}{3}

Cross-cancel common factor:

2

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

Multiply fractions:

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

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

Multiply the numbers:

5 \times 2 = 10

= \frac{10}{3 \times 3}

Multiply the numbers:

3 \times 3 = 9

= \frac{10}{9}

\frac{3}{45}

(x^{2} - 5 x + 4) (x^{2} - 9)

5 - \frac{1}{4}

(x + 1)^{2} (x - 1)

4 (2 - 3 w) (w^{2} - 2 w + 10)