Solve 2-6/13div9/26-2/3=

$$2 - \frac { 6 } { 13 } \div \frac { 9 } { 26 } - \frac { 2 } { 3 } =$$

Evaluate

$$0$$

Solution Steps

Divide \frac{6}{13} by \frac{9}{26} by multiplying \frac{6}{13} by the reciprocal of \frac{9}{26}.

$$2-\frac{6}{13}\times \frac{26}{9}-\frac{2}{3}$$

Multiply \frac{6}{13} times \frac{26}{9} by multiplying numerator times numerator and denominator times denominator.

$$2-\frac{6\times 26}{13\times 9}-\frac{2}{3}$$

Do the multiplications in the fraction \frac{6\times 26}{13\times 9}.

$$2-\frac{156}{117}-\frac{2}{3}$$

Reduce the fraction \frac{156}{117} to lowest terms by extracting and canceling out 39.

$$2-\frac{4}{3}-\frac{2}{3}$$

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

$$\frac{6}{3}-\frac{4}{3}-\frac{2}{3}$$

Since \frac{6}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-4}{3}-\frac{2}{3}$$

Subtract 4 from 6 to get 2.

$$\frac{2}{3}-\frac{2}{3}$$

Subtract \frac{2}{3} from \frac{2}{3} to get 0.

$$0$$

Factor

$$0$$