Solve 2+1*5-33/2(2+1)*(5-3)

$$2 + 1 \times 5 - 3 \frac { 3 } { 2 } ( 2 + 1 ) \times ( 5 - 3 )$$

Evaluate

$$-20$$

Solution Steps

Multiply 1 and 5 to get 5.

$$2+5-\frac{3\times 2+3}{2}\left(2+1\right)\left(5-3\right)$$

Add 2 and 5 to get 7.

$$7-\frac{3\times 2+3}{2}\left(2+1\right)\left(5-3\right)$$

Multiply 3 and 2 to get 6.

$$7-\frac{6+3}{2}\left(2+1\right)\left(5-3\right)$$

Add 6 and 3 to get 9.

$$7-\frac{9}{2}\left(2+1\right)\left(5-3\right)$$

Add 2 and 1 to get 3.

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

Express \frac{9}{2}\times 3 as a single fraction.

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

Multiply 9 and 3 to get 27.

$$7-\frac{27}{2}\left(5-3\right)$$

Subtract 3 from 5 to get 2.

$$7-\frac{27}{2}\times 2$$

Cancel out 2 and 2.

$$7-27$$

Subtract 27 from 7 to get -20.

$$-20$$

Factor

$$-20$$