Solve (11/7-2/3):10/7=

$$( 1 \frac { 1 } { 7 } - \frac { 2 } { 3 } ) : \frac { 10 } { 7 } =$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Multiply 1 and 7 to get 7.

$$\frac{\frac{7+1}{7}-\frac{2}{3}}{\frac{10}{7}}$$

Add 7 and 1 to get 8.

$$\frac{\frac{8}{7}-\frac{2}{3}}{\frac{10}{7}}$$

Least common multiple of 7 and 3 is 21. Convert \frac{8}{7} and \frac{2}{3} to fractions with denominator 21.

$$\frac{\frac{24}{21}-\frac{14}{21}}{\frac{10}{7}}$$

Since \frac{24}{21} and \frac{14}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{24-14}{21}}{\frac{10}{7}}$$

Subtract 14 from 24 to get 10.

$$\frac{\frac{10}{21}}{\frac{10}{7}}$$

Divide \frac{10}{21} by \frac{10}{7} by multiplying \frac{10}{21} by the reciprocal of \frac{10}{7}.

$$\frac{10}{21}\times \frac{7}{10}$$

Multiply \frac{10}{21} times \frac{7}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 7}{21\times 10}$$

Cancel out 10 in both numerator and denominator.

$$\frac{7}{21}$$

Reduce the fraction \frac{7}{21} to lowest terms by extracting and canceling out 7.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$