The solution to 10\div 2/3 is 15

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10\div 2/3

Solution

10 \div \frac{2}{3}

15

Solution steps

10 \div \frac{2}{3}

Convert element to fraction:

10 = \frac{10}{1}

= \frac{10}{1} \div \frac{2}{3}

Apply the fraction rule:

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

= \frac{10}{1} \times \frac{3}{2}

Cross-cancel common factor:

2

= \frac{5}{1} \times \frac{3}{1}

Multiply fractions:

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

= \frac{5 \times 3}{1 \times 1}

Multiply the numbers:

5 \times 3 = 15

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

Multiply the numbers:

1 \times 1 = 1

= \frac{15}{1}

Apply rule

\frac{a}{1} = a

= 15

\frac{5}{6} \div 2

\frac{6 x}{3 x}

\frac{b}{15} \cdot \frac{21}{b}

\frac{38}{3}

\frac{2}{x - 7} - \frac{7}{x ^{2} - 11 x + 28}