8\div 2/7

Solution

8 \div \frac{2}{7}

28

Solution steps

8 \div \frac{2}{7}

Convert element to fraction:

8 = \frac{8}{1}

= \frac{8}{1} \div \frac{2}{7}

Apply the fraction rule:

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

= \frac{8}{1} \times \frac{7}{2}

Cross-cancel common factor:

2

= \frac{4}{1} \times \frac{7}{1}

Multiply fractions:

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

= \frac{4 \times 7}{1 \times 1}

Multiply the numbers:

4 \times 7 = 28

= \frac{28}{1 \times 1}

Multiply the numbers:

1 \times 1 = 1

= \frac{28}{1}

Apply rule

\frac{a}{1} = a

= 28

ln (e^{3}) + ln (e^{4})

\frac{x}{5} - \frac{1}{4}

7 m^{2} + (2 m - 1) (m + 9)

\frac{3}{4} \cdot (- 1)

\frac{x ^{16}}{x ^{10}}