Solve 72/27/frac{27{17}}=

$$\frac { \frac { 72 } { 27 } } { \frac { 27 } { 17 } } =$$

Evaluate

$$\frac{136}{81}\approx 1.679012346$$

Solution Steps

Divide \frac{72}{27} by \frac{27}{17} by multiplying \frac{72}{27} by the reciprocal of \frac{27}{17}.

$$\frac{72\times 17}{27\times 27}$$

Cancel out 9 in both numerator and denominator.

$$\frac{8\times 17}{3\times 27}$$

Multiply 8 and 17 to get 136.

$$\frac{136}{3\times 27}$$

Multiply 3 and 27 to get 81.

$$\frac{136}{81}$$

Factor

$$\frac{2 ^ {3} \cdot 17}{3 ^ {4}} = 1\frac{55}{81} = 1.6790123456790123$$