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

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2/5 \div 4

Solution

\frac{2}{5} \div 4

\frac{1}{10}

Solution steps

\frac{2}{5} \div 4

Convert element to fraction:

4 = \frac{4}{1}

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

Apply the fraction rule:

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

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

Cross-cancel common factor:

2

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

Multiply fractions:

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

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

Multiply the numbers:

1 \times 1 = 1

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

Multiply the numbers:

5 \times 2 = 10

= \frac{1}{10}

(x - 2)^{2}

\frac{x - 2}{4} + \frac{3 x + 2}{6}

(x - 6) (x - 3)

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

2 \div \frac{3}{4}