The solution to 20\div 2/3 is 30

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20\div 2/3

Solution

20 \div \frac{2}{3}

30

Solution steps

20 \div \frac{2}{3}

Convert element to fraction:

20 = \frac{20}{1}

= \frac{20}{1} \div \frac{2}{3}

Apply the fraction rule:

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

= \frac{20}{1} \times \frac{3}{2}

Cross-cancel common factor:

2

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

Multiply fractions:

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

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

Multiply the numbers:

10 \times 3 = 30

= \frac{30}{1 \times 1}

Multiply the numbers:

1 \times 1 = 1

= \frac{30}{1}

Apply rule

\frac{a}{1} = a

= 30

- 1 \times 7

3 i (- 9 + 5 i)

- 3 \times - 12

\frac{15}{11}

\frac{15}{65}