Solve 9y-36/12div5(y-4)/18

$$\frac { 9 y - 36 } { 12 } \div \frac { 5 ( y - 4 ) } { 18 }$$

Evaluate

$$\frac{27}{10}=2.7$$

Short Solution Steps

Divide \frac{9y-36}{12} by \frac{5\left(y-4\right)}{18} by multiplying \frac{9y-36}{12} by the reciprocal of \frac{5\left(y-4\right)}{18}.

$$\frac{\left(9y-36\right)\times 18}{12\times 5\left(y-4\right)}$$

Cancel out 6 in both numerator and denominator.

$$\frac{3\left(9y-36\right)}{2\times 5\left(y-4\right)}$$

Multiply 2 and 5 to get 10.

$$\frac{3\left(9y-36\right)}{10\left(y-4\right)}$$

Factor the expressions that are not already factored.

$$\frac{3\times 9\left(y-4\right)}{10\left(y-4\right)}$$

Cancel out y-4 in both numerator and denominator.

$$\frac{3\times 9}{10}$$

Multiply 3 and 9 to get 27.

$$\frac{27}{10}$$

Factor

$$\frac{3 ^ {3}}{2 \cdot 5} = 2\frac{7}{10} = 2.7$$