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Popular >

Simplify 18÷(2/3)

Solution

18/ (2/3)

27

Solution steps

18/ (2/3)

Follow the PEMDAS order of operations

Calculate within parentheses

(2/3) : \frac{2}{3}

2/3

2/3 = \frac{2}{3}

= \frac{2}{3}

= 18/ \frac{2}{3}

Multiply and divide (left to right)

18/ \frac{2}{3} : 27

18/ \frac{2}{3}

Convert element to fraction:

18 = \frac{18}{1}

= \frac{18}{1} \div \frac{2}{3}

Apply the fraction rule:

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

= \frac{18}{1} \cdot \frac{3}{2}

Cross-cancel common factor:

2

= \frac{9}{1} \cdot \frac{3}{1}

Multiply fractions:

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

= \frac{9 \cdot 3}{1 \cdot 1}

Multiply the numbers:

9 \cdot 3 = 27

= \frac{27}{1 \cdot 1}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{27}{1}

Apply rule

\frac{a}{1} = a

= 27

= 27

\frac{12.5}{5}

t o a p erce n t a g e 25/38

\frac{32}{9}

t o a p erce n t a g e 5 1/4

\frac{53}{6}