What is 5/2 \div 1/4 ?

The solution to 5/2 \div 1/4 is 10

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5/2 \div 1/4

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

10

Solution steps

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

Apply the fraction rule:

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

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

Cross-cancel common factor:

2

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

Multiply fractions:

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

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

Multiply the numbers:

5 \times 2 = 10

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

Multiply the numbers:

1 \times 1 = 1

= \frac{10}{1}

Apply rule

\frac{a}{1} = a

= 10

\frac{x ^{30}}{x ^{10}}

(\frac{8}{4})^{2}

\frac{x ^{2} - 9}{x ^{2} - 4 x + 3}

2 lo g_{4} (9)

\frac{5 x}{x}