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

The solution to 4 1/2 \div 1/4 is 18

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4 1/2 \div 1/4

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

18

Solution steps

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

Convert mixed numbers to improper fractions:

4 \frac{1}{2} = \frac{9}{2}

= \frac{9}{2} \div \frac{1}{4}

Apply the fraction rule:

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

= \frac{9}{2} \times \frac{4}{1}

Cross-cancel common factor:

2

= \frac{9}{1} \times \frac{2}{1}

Multiply fractions:

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

= \frac{9 \times 2}{1 \times 1}

Multiply the numbers:

9 \times 2 = 18

= \frac{18}{1 \times 1}

Multiply the numbers:

1 \times 1 = 1

= \frac{18}{1}

Apply rule

\frac{a}{1} = a

= 18

\frac{1}{10} - \frac{1}{2}

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

\frac{- 20 v}{- 4 ( v ^{- 1} ) ^{3}}

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

- 9 - - 81 - 16 - - 4