What is 5/6 \div 3/8 ?

The solution to 5/6 \div 3/8 is 20/9

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5/6 \div 3/8

\frac{5}{6} \div \frac{3}{8}

\frac{20}{9}

Solution steps

\frac{5}{6} \div \frac{3}{8}

Apply the fraction rule:

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

= \frac{5}{6} \times \frac{8}{3}

Cross-cancel common factor:

2

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

Multiply fractions:

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

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

Multiply the numbers:

5 \times 4 = 20

= \frac{20}{3 \times 3}

Multiply the numbers:

3 \times 3 = 9

= \frac{20}{9}

(1 - 5 i)^{2}

\frac{- 1 + 5 i}{2 + 3 i}

\frac{39}{10}

20 - (- 5)