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Popular >

Simplify 30÷(2/3)

Solution

30/ (2/3)

45

Solution steps

30/ (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}

= 30/ \frac{2}{3}

Multiply and divide (left to right)

30/ \frac{2}{3} : 45

30/ \frac{2}{3}

Convert element to fraction:

30 = \frac{30}{1}

= \frac{30}{1} \div \frac{2}{3}

Apply the fraction rule:

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

= \frac{30}{1} \cdot \frac{3}{2}

Cross-cancel common factor:

2

= \frac{15}{1} \cdot \frac{3}{1}

Multiply fractions:

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

= \frac{15 \cdot 3}{1 \cdot 1}

Multiply the numbers:

15 \cdot 3 = 45

= \frac{45}{1 \cdot 1}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{45}{1}

Apply rule

\frac{a}{1} = a

= 45

= 45

t h e \frac{20}{120}

10 (1/2)

3.14 \cdot 100

t h e \frac{67}{100}

\frac{49}{15}