Solve 65/9/10/27

$$6 \frac { 5 } { 9 } / \frac { 10 } { 27 }$$

Evaluate

$$\frac{177}{10}=17.7$$

Solution Steps

Divide \frac{6\times 9+5}{9} by \frac{10}{27} by multiplying \frac{6\times 9+5}{9} by the reciprocal of \frac{10}{27}.

$$\frac{\left(6\times 9+5\right)\times 27}{9\times 10}$$

Cancel out 9 in both numerator and denominator.

$$\frac{3\left(5+6\times 9\right)}{10}$$

Multiply 6 and 9 to get 54.

$$\frac{3\left(5+54\right)}{10}$$

Add 5 and 54 to get 59.

$$\frac{3\times 59}{10}$$

Multiply 3 and 59 to get 177.

$$\frac{177}{10}$$

Factor

$$\frac{3 \cdot 59}{2 \cdot 5} = 17\frac{7}{10} = 17.7$$