What is 3 1/6 \div 5/8 ?

The solution to 3 1/6 \div 5/8 is 5 1/15

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3 1/6 \div 5/8

3 \frac{1}{6} \div \frac{5}{8}

5 \frac{1}{15}

Solution steps

3 \frac{1}{6} \div \frac{5}{8}

Convert mixed numbers to improper fractions:

3 \frac{1}{6} = \frac{19}{6}

= \frac{19}{6} \div \frac{5}{8}

Apply the fraction rule:

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

= \frac{19}{6} \times \frac{8}{5}

Cross-cancel common factor:

2

= \frac{19}{3} \times \frac{4}{5}

Multiply fractions:

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

= \frac{19 \times 4}{3 \times 5}

Multiply the numbers:

19 \times 4 = 76

= \frac{76}{3 \times 5}

Multiply the numbers:

3 \times 5 = 15

= \frac{76}{15}

Convert improper fractions to mixed numbers:

\frac{76}{15} = 5 \frac{1}{15}

= 5 \frac{1}{15}

\frac{3}{5} + \frac{3}{7}

(2 + \frac{3 x}{4})^{6}

- (- 9 d + 4.9)

\frac{95}{12}

4 \times 5