2\div 5/2

Solution

2 \div \frac{5}{2}

\frac{4}{5}

Solution steps

2 \div \frac{5}{2}

Convert element to fraction:

2 = \frac{2}{1}

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

Apply the fraction rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

2 \times 2 = 4

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

Multiply the numbers:

1 \times 5 = 5

= \frac{4}{5}

\frac{40}{5} + \frac{10}{5} - \frac{5}{5}

a^{- b}

6 n^{3} + 3 n^{2} + 8 n + 4

\frac{4 + 7 i}{2 + 5 i}

\frac{1}{tan ( x ) + cot ( x )}