What is 1/4 \div 9/10 ?

The solution to 1/4 \div 9/10 is 5/18

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1/4 \div 9/10

\frac{1}{4} \div \frac{9}{10}

\frac{5}{18}

Solution steps

\frac{1}{4} \div \frac{9}{10}

Apply the fraction rule:

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

= \frac{1}{4} \times \frac{10}{9}

Cross-cancel common factor:

2

= \frac{1}{2} \times \frac{5}{9}

Multiply fractions:

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

= \frac{1 \times 5}{2 \times 9}

Multiply the numbers:

1 \times 5 = 5

= \frac{5}{2 \times 9}

Multiply the numbers:

2 \times 9 = 18

= \frac{5}{18}

(x^{2} - x + 3) (x - 5)

\frac{1 + \frac{8}{17}}{2}

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

0.09 n^{42}

- \frac{20}{10}