What is 2/4 \div 1/5 ?

The solution to 2/4 \div 1/5 is 5/2

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2/4 \div 1/5

\frac{2}{4} \div \frac{1}{5}

\frac{5}{2}

Solution steps

\frac{2}{4} \div \frac{1}{5}

Apply the fraction rule:

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

= \frac{2}{4} \times \frac{5}{1}

\frac{2}{4} = \frac{1}{2}

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

Apply rule

\frac{a}{1} = a

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

Convert element to fraction:

5 = \frac{5}{1}

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

Multiply fractions:

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

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

Cancel the common factor:

1

= \frac{5}{2}

\frac{25 x ^{7} y ^{2}}{25 x ^{2} y ^{7}}

- 2 \cdot 9

(x - 1) (x - 2) (x + 1)

\frac{- 8}{8}