What is 3/10 \div 2/5 ?

The solution to 3/10 \div 2/5 is 3/4

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3/10 \div 2/5

\frac{3}{10} \div \frac{2}{5}

\frac{3}{4}

Solution steps

\frac{3}{10} \div \frac{2}{5}

Apply the fraction rule:

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

= \frac{3}{10} \times \frac{5}{2}

Cross-cancel common factor:

5

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

Multiply fractions:

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

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

Multiply the numbers:

3 \times 1 = 3

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

Multiply the numbers:

2 \times 2 = 4

= \frac{3}{4}

\frac{9}{5} \times \frac{2}{3}

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

\frac{8}{7} \div \frac{5}{8}

3 x (y - x) - y + x