Solve 15/2*(2*5+(15-1)*4)

$$\frac { 15 } { 2 } \times ( 2 \times 5 + ( 15 - 1 ) \times 4 )$$

Evaluate

$$495$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{15}{2}\left(10+\left(15-1\right)\times 4\right)$$

Subtract 1 from 15 to get 14.

$$\frac{15}{2}\left(10+14\times 4\right)$$

Multiply 14 and 4 to get 56.

$$\frac{15}{2}\left(10+56\right)$$

Add 10 and 56 to get 66.

$$\frac{15}{2}\times 66$$

Express \frac{15}{2}\times 66 as a single fraction.

$$\frac{15\times 66}{2}$$

Multiply 15 and 66 to get 990.

$$\frac{990}{2}$$

Divide 990 by 2 to get 495.

$$495$$

Factor

$$3^{2}\times 5\times 11$$