What is 2/5 \div 1/10 ?

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

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2/5 \div 1/10

\frac{2}{5} \div \frac{1}{10}

4

Solution steps

\frac{2}{5} \div \frac{1}{10}

Apply the fraction rule:

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

= \frac{2}{5} \times \frac{10}{1}

Cross-cancel common factor:

5

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

Multiply fractions:

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

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

Multiply the numbers:

2 \times 2 = 4

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

Multiply the numbers:

1 \times 1 = 1

= \frac{4}{1}

Apply rule

\frac{a}{1} = a

= 4

- 4 y + 7 y^{2} + 7 x - x + 3 y + x - 4 y

\frac{( x ^{2} - a ^{2} )}{( x - a )}

(- 2) + (- 4)

(4 x^{2} - x + 16) (x^{2} + 3 x + 4)

(x + 3 y)^{9}