What is 1 1/2 \div 1/4 ?

The solution to 1 1/2 \div 1/4 is 6

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1 1/2 \div 1/4

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

6

Solution steps

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

Convert mixed numbers to improper fractions:

1 \frac{1}{2} = \frac{3}{2}

= \frac{3}{2} \div \frac{1}{4}

Apply the fraction rule:

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

= \frac{3}{2} \times \frac{4}{1}

Cross-cancel common factor:

2

= \frac{3}{1} \times \frac{2}{1}

Multiply fractions:

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

= \frac{3 \times 2}{1 \times 1}

Multiply the numbers:

3 \times 2 = 6

= \frac{6}{1 \times 1}

Multiply the numbers:

1 \times 1 = 1

= \frac{6}{1}

Apply rule

\frac{a}{1} = a

= 6

\frac{x}{x ^{2} - 16} - \frac{8}{x ^{2} + 5 x + 4}

125 b

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

(3 x - \frac{1}{2})^{2}

(a - x)^{3}