Solve 120(3+2)/(5+3)(5+2)

$$\frac { 120 ( 3 + 2 ) } { ( 5 + 3 ) ( 5 + 2 ) }$$

Evaluate

$$\frac{75}{7}\approx 10.714285714$$

Solution Steps

Add 3 and 2 to get 5.

$$\frac{120\times 5}{\left(5+3\right)\left(5+2\right)}$$

Multiply 120 and 5 to get 600.

$$\frac{600}{\left(5+3\right)\left(5+2\right)}$$

Add 5 and 3 to get 8.

$$\frac{600}{8\left(5+2\right)}$$

Add 5 and 2 to get 7.

$$\frac{600}{8\times 7}$$

Multiply 8 and 7 to get 56.

$$\frac{600}{56}$$

Reduce the fraction \frac{600}{56} to lowest terms by extracting and canceling out 8.

$$\frac{75}{7}$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{7} = 10\frac{5}{7} = 10.714285714285714$$