The solution to 30\div 3/4 is 40

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30\div 3/4

Solution

30 \div \frac{3}{4}

40

Solution steps

30 \div \frac{3}{4}

Convert element to fraction:

30 = \frac{30}{1}

= \frac{30}{1} \div \frac{3}{4}

Apply the fraction rule:

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

= \frac{30}{1} \times \frac{4}{3}

Cross-cancel common factor:

3

= \frac{10}{1} \times \frac{4}{1}

Multiply fractions:

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

= \frac{10 \times 4}{1 \times 1}

Multiply the numbers:

10 \times 4 = 40

= \frac{40}{1 \times 1}

Multiply the numbers:

1 \times 1 = 1

= \frac{40}{1}

Apply rule

\frac{a}{1} = a

= 40

(4 x + 3 y - 8 z) + (7 x - 8 y + 5 z)

\frac{- 32}{- 8}

(- 3) - 4

\frac{- 8}{- 1}

1 \frac{6}{7} \div 5 \frac{3}{4}