The solution to 10\div 2/5 is 25

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10\div 2/5

Solution

10 \div \frac{2}{5}

25

Solution steps

10 \div \frac{2}{5}

Convert element to fraction:

10 = \frac{10}{1}

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

Apply the fraction rule:

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

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

Cross-cancel common factor:

2

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

Multiply fractions:

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

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

Multiply the numbers:

5 \times 5 = 25

= \frac{25}{1 \times 1}

Multiply the numbers:

1 \times 1 = 1

= \frac{25}{1}

Apply rule

\frac{a}{1} = a

= 25

\frac{( 8 x ^{3} + 27 )}{( 2 x + 3 )}

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

100 x^{4} - 30 x^{2}

\frac{3}{4} + \frac{4}{5} + \frac{7}{8}

15 m^{2} - 8 m - 12