The solution to 15\div 5/6 is 18

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15\div 5/6

Solution

15 \div \frac{5}{6}

18

Solution steps

15 \div \frac{5}{6}

Convert element to fraction:

15 = \frac{15}{1}

= \frac{15}{1} \div \frac{5}{6}

Apply the fraction rule:

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

= \frac{15}{1} \times \frac{6}{5}

Cross-cancel common factor:

5

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

Multiply fractions:

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

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

Multiply the numbers:

3 \times 6 = 18

= \frac{18}{1 \times 1}

Multiply the numbers:

1 \times 1 = 1

= \frac{18}{1}

Apply rule

\frac{a}{1} = a

= 18

\frac{8 x ^{3} y ^{4}}{20 x ^{7} y ^{7}}

6 \div \frac{4}{3}

17 \times 9

18 + 72

2 x^{2} + 2 x - 8