4\div 2/5

Solution

4 \div \frac{2}{5}

10

Solution steps

4 \div \frac{2}{5}

Convert element to fraction:

4 = \frac{4}{1}

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

Apply the fraction rule:

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

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

Cross-cancel common factor:

2

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

Multiply fractions:

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

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

Multiply the numbers:

2 \times 5 = 10

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

Multiply the numbers:

1 \times 1 = 1

= \frac{10}{1}

Apply rule

\frac{a}{1} = a

= 10

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

\frac{2}{3} x^{a} - \frac{5}{3} x^{a} + \frac{4}{3} x^{a} - \frac{1}{3} x^{a}

6 \cdot 20

\frac{1}{100} + \frac{1}{100}

\frac{2000 ( 40 )}{100 - ( 40 )}