Solve 1716/27div14/15

$$17 \frac { 16 } { 27 } \div 1 \frac { 4 } { 15 }$$

Evaluate

$$\frac{125}{9}\approx 13.888888889$$

Solution Steps

Divide \frac{17\times 27+16}{27} by \frac{1\times 15+4}{15} by multiplying \frac{17\times 27+16}{27} by the reciprocal of \frac{1\times 15+4}{15}.

$$\frac{\left(17\times 27+16\right)\times 15}{27\left(1\times 15+4\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{5\left(16+17\times 27\right)}{9\left(4+15\right)}$$

Multiply 17 and 27 to get 459.

$$\frac{5\left(16+459\right)}{9\left(4+15\right)}$$

Add 16 and 459 to get 475.

$$\frac{5\times 475}{9\left(4+15\right)}$$

Multiply 5 and 475 to get 2375.

$$\frac{2375}{9\left(4+15\right)}$$

Add 4 and 15 to get 19.

$$\frac{2375}{9\times 19}$$

Multiply 9 and 19 to get 171.

$$\frac{2375}{171}$$

Reduce the fraction \frac{2375}{171} to lowest terms by extracting and canceling out 19.

$$\frac{125}{9}$$

Factor

$$\frac{5 ^ {3}}{3 ^ {2}} = 13\frac{8}{9} = 13.88888888888889$$