30\div 2/3

Solution

30 \div \frac{2}{3}

45

Solution steps

30 \div \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} \times \frac{3}{2}

Cross-cancel common factor:

2

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

Multiply fractions:

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

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

Multiply the numbers:

15 \times 3 = 45

= \frac{45}{1 \times 1}

Multiply the numbers:

1 \times 1 = 1

= \frac{45}{1}

Apply rule

\frac{a}{1} = a

= 45

\frac{3 x - 21}{x ^{2} - 49}

\frac{\frac{7}{9} + \frac{1}{6}}{\frac{3}{7}}

\frac{3}{5} \cdot 1

\frac{x + 13}{x ^{3} ( 3 - x )} \cdot \frac{x ( x - 3 )}{5}