Solve (3+7)2-5(10-5)4+209:2

$$( 3 + 7 ) 2 - 5 ( 10 - 5 ) 4 + 209 : 2$$

Evaluate

$$\frac{49}{2}=24.5$$

Solution Steps

Add 3 and 7 to get 10.

$$10\times 2-5\left(10-5\right)\times 4+\frac{209}{2}$$

Multiply 10 and 2 to get 20.

$$20-5\left(10-5\right)\times 4+\frac{209}{2}$$

Subtract 5 from 10 to get 5.

$$20-5\times 5\times 4+\frac{209}{2}$$

Multiply 5 and 5 to get 25.

$$20-25\times 4+\frac{209}{2}$$

Multiply 25 and 4 to get 100.

$$20-100+\frac{209}{2}$$

Subtract 100 from 20 to get -80.

$$-80+\frac{209}{2}$$

Convert -80 to fraction -\frac{160}{2}.

$$-\frac{160}{2}+\frac{209}{2}$$

Since -\frac{160}{2} and \frac{209}{2} have the same denominator, add them by adding their numerators.

$$\frac{-160+209}{2}$$

Add -160 and 209 to get 49.

$$\frac{49}{2}$$

Factor

$$\frac{7 ^ {2}}{2} = 24\frac{1}{2} = 24.5$$