Solve 13x-91/27div9x-63/18

$$\frac { 13 x - 91 } { 27 } \div \frac { 9 x - 63 } { 18 }$$

Evaluate

$$\frac{26}{27}\approx 0.962962963$$

Short Solution Steps

Divide \frac{13x-91}{27} by \frac{9x-63}{18} by multiplying \frac{13x-91}{27} by the reciprocal of \frac{9x-63}{18}.

$$\frac{\left(13x-91\right)\times 18}{27\left(9x-63\right)}$$

Cancel out 9 in both numerator and denominator.

$$\frac{2\left(13x-91\right)}{3\left(9x-63\right)}$$

Factor the expressions that are not already factored.

$$\frac{2\times 13\left(x-7\right)}{3\times 9\left(x-7\right)}$$

Cancel out x-7 in both numerator and denominator.

$$\frac{2\times 13}{3\times 9}$$

Multiply 2 and 13 to get 26.

$$\frac{26}{3\times 9}$$

Multiply 3 and 9 to get 27.

$$\frac{26}{27}$$

Factor

$$\frac{2 \cdot 13}{3 ^ {3}} = 0.9629629629629629$$