Solve (9/10-7/10)div7/10

$$( \frac { 9 } { 10 } - \frac { 7 } { 10 } ) \div \frac { 7 } { 10 }$$

Evaluate

$$\frac{2}{7}\approx 0.285714286$$

Solution Steps

Since \frac{9}{10} and \frac{7}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{9-7}{10}}{\frac{7}{10}}$$

Subtract 7 from 9 to get 2.

$$\frac{\frac{2}{10}}{\frac{7}{10}}$$

Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{5}}{\frac{7}{10}}$$

Divide \frac{1}{5} by \frac{7}{10} by multiplying \frac{1}{5} by the reciprocal of \frac{7}{10}.

$$\frac{1}{5}\times \frac{10}{7}$$

Multiply \frac{1}{5} times \frac{10}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 10}{5\times 7}$$

Do the multiplications in the fraction \frac{1\times 10}{5\times 7}.

$$\frac{10}{35}$$

Reduce the fraction \frac{10}{35} to lowest terms by extracting and canceling out 5.

$$\frac{2}{7}$$

Factor

$$\frac{2}{7} = 0.2857142857142857$$