Solve 27/9div5/6

$$2 \frac { 7 } { 9 } \div \frac { 5 } { 6 }$$

Evaluate

$$\frac{10}{3}\approx 3.333333333$$

Solution Steps

Divide \frac{2\times 9+7}{9} by \frac{5}{6} by multiplying \frac{2\times 9+7}{9} by the reciprocal of \frac{5}{6}.

$$\frac{\left(2\times 9+7\right)\times 6}{9\times 5}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2\left(7+2\times 9\right)}{3\times 5}$$

Multiply 2 and 9 to get 18.

$$\frac{2\left(7+18\right)}{3\times 5}$$

Add 7 and 18 to get 25.

$$\frac{2\times 25}{3\times 5}$$

Multiply 2 and 25 to get 50.

$$\frac{50}{3\times 5}$$

Multiply 3 and 5 to get 15.

$$\frac{50}{15}$$

Reduce the fraction \frac{50}{15} to lowest terms by extracting and canceling out 5.

$$\frac{10}{3}$$

Factor

$$\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3.3333333333333335$$