Solve (10/3+10/3-2)*1/8div(2/3div8/11)

$$( 10 / 3 + 10 / 3 - 2 ) \times 1 / 8 \div ( 2 / 3 \div 8 / 11 )$$

Evaluate

$$\frac{7}{11}\approx 0.636363636$$

Solution Steps

Since \frac{10}{3} and \frac{10}{3} have the same denominator, add them by adding their numerators.

$$\frac{\left(\frac{10+10}{3}-2\right)\times \frac{1}{8}}{\frac{\frac{2}{3}}{\frac{8}{11}}}$$

Add 10 and 10 to get 20.

$$\frac{\left(\frac{20}{3}-2\right)\times \frac{1}{8}}{\frac{\frac{2}{3}}{\frac{8}{11}}}$$

Convert 2 to fraction \frac{6}{3}.

$$\frac{\left(\frac{20}{3}-\frac{6}{3}\right)\times \frac{1}{8}}{\frac{\frac{2}{3}}{\frac{8}{11}}}$$

Since \frac{20}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{20-6}{3}\times \frac{1}{8}}{\frac{\frac{2}{3}}{\frac{8}{11}}}$$

Subtract 6 from 20 to get 14.

$$\frac{\frac{14}{3}\times \frac{1}{8}}{\frac{\frac{2}{3}}{\frac{8}{11}}}$$

Multiply \frac{14}{3} times \frac{1}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{14\times 1}{3\times 8}}{\frac{\frac{2}{3}}{\frac{8}{11}}}$$

Do the multiplications in the fraction \frac{14\times 1}{3\times 8}.

$$\frac{\frac{14}{24}}{\frac{\frac{2}{3}}{\frac{8}{11}}}$$

Reduce the fraction \frac{14}{24} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{7}{12}}{\frac{\frac{2}{3}}{\frac{8}{11}}}$$

Divide \frac{2}{3} by \frac{8}{11} by multiplying \frac{2}{3} by the reciprocal of \frac{8}{11}.

$$\frac{\frac{7}{12}}{\frac{2}{3}\times \frac{11}{8}}$$

Multiply \frac{2}{3} times \frac{11}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{7}{12}}{\frac{2\times 11}{3\times 8}}$$

Do the multiplications in the fraction \frac{2\times 11}{3\times 8}.

$$\frac{\frac{7}{12}}{\frac{22}{24}}$$

Reduce the fraction \frac{22}{24} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{7}{12}}{\frac{11}{12}}$$

Divide \frac{7}{12} by \frac{11}{12} by multiplying \frac{7}{12} by the reciprocal of \frac{11}{12}.

$$\frac{7}{12}\times \frac{12}{11}$$

Multiply \frac{7}{12} times \frac{12}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 12}{12\times 11}$$

Cancel out 12 in both numerator and denominator.

$$\frac{7}{11}$$

Factor

$$\frac{7}{11} = 0.6363636363636364$$