The solution to 8\div 2/5 is 20

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8\div 2/5

Solution

8 \div \frac{2}{5}

20

Solution steps

8 \div \frac{2}{5}

Convert element to fraction:

8 = \frac{8}{1}

= \frac{8}{1} \div \frac{2}{5}

Apply the fraction rule:

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

= \frac{8}{1} \times \frac{5}{2}

Cross-cancel common factor:

2

= \frac{4}{1} \times \frac{5}{1}

Multiply fractions:

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

= \frac{4 \times 5}{1 \times 1}

Multiply the numbers:

4 \times 5 = 20

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

Multiply the numbers:

1 \times 1 = 1

= \frac{20}{1}

Apply rule

\frac{a}{1} = a

= 20

- 7.5 \cdot (- 2) \frac{3}{4}

(2 a^{- 2} b^{2} c^{4})^{- 3}

2 t

\frac{1}{5} - \frac{3}{5}

(3 a^{2} - a + 3)^{2}