Solve 90+(120-5-5*5/2)+66+94+58

$$90 + ( 120 - 5 - 5 \times \frac { 5 } { 2 } ) + 66 + 94 + 58$$

Evaluate

$$\frac{821}{2}=410.5$$

Solution Steps

Subtract 5 from 120 to get 115.

$$90+115-5\times \frac{5}{2}+66+94+58$$

Express 5\times \frac{5}{2} as a single fraction.

$$90+115-\frac{5\times 5}{2}+66+94+58$$

Multiply 5 and 5 to get 25.

$$90+115-\frac{25}{2}+66+94+58$$

Convert 115 to fraction \frac{230}{2}.

$$90+\frac{230}{2}-\frac{25}{2}+66+94+58$$

Since \frac{230}{2} and \frac{25}{2} have the same denominator, subtract them by subtracting their numerators.

$$90+\frac{230-25}{2}+66+94+58$$

Subtract 25 from 230 to get 205.

$$90+\frac{205}{2}+66+94+58$$

Convert 90 to fraction \frac{180}{2}.

$$\frac{180}{2}+\frac{205}{2}+66+94+58$$

Since \frac{180}{2} and \frac{205}{2} have the same denominator, add them by adding their numerators.

$$\frac{180+205}{2}+66+94+58$$

Add 180 and 205 to get 385.

$$\frac{385}{2}+66+94+58$$

Convert 66 to fraction \frac{132}{2}.

$$\frac{385}{2}+\frac{132}{2}+94+58$$

Since \frac{385}{2} and \frac{132}{2} have the same denominator, add them by adding their numerators.

$$\frac{385+132}{2}+94+58$$

Add 385 and 132 to get 517.

$$\frac{517}{2}+94+58$$

Convert 94 to fraction \frac{188}{2}.

$$\frac{517}{2}+\frac{188}{2}+58$$

Since \frac{517}{2} and \frac{188}{2} have the same denominator, add them by adding their numerators.

$$\frac{517+188}{2}+58$$

Add 517 and 188 to get 705.

$$\frac{705}{2}+58$$

Convert 58 to fraction \frac{116}{2}.

$$\frac{705}{2}+\frac{116}{2}$$

Since \frac{705}{2} and \frac{116}{2} have the same denominator, add them by adding their numerators.

$$\frac{705+116}{2}$$

Add 705 and 116 to get 821.

$$\frac{821}{2}$$

Factor

$$\frac{821}{2} = 410\frac{1}{2} = 410.5$$