Solve 1/272+2/4left(7-2right)+2left(72right)+2/272

$$\frac{ 1 }{ 2 } 72+ \frac{ 2 }{ 4 } \left( 7-2 \right) +2 \left( 72 \right) + \frac{ 2 }{ 2 } 72$$

Evaluate

$$\frac{509}{2}=254.5$$

Solution Steps

Divide 2 by 2 to get 1.

$$\frac{1}{2}\times 72+\frac{2}{4}\left(7-2\right)+2\times 72+1\times 72$$

Multiply 2 and 72 to get 144. Multiply 1 and 72 to get 72.

$$\frac{1}{2}\times 72+\frac{2}{4}\left(7-2\right)+144+72$$

Multiply \frac{1}{2} and 72 to get \frac{72}{2}.

$$\frac{72}{2}+\frac{2}{4}\left(7-2\right)+144+72$$

Divide 72 by 2 to get 36.

$$36+\frac{2}{4}\left(7-2\right)+144+72$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$36+\frac{1}{2}\left(7-2\right)+144+72$$

Subtract 2 from 7 to get 5.

$$36+\frac{1}{2}\times 5+144+72$$

Multiply \frac{1}{2} and 5 to get \frac{5}{2}.

$$36+\frac{5}{2}+144+72$$

Convert 36 to fraction \frac{72}{2}.

$$\frac{72}{2}+\frac{5}{2}+144+72$$

Since \frac{72}{2} and \frac{5}{2} have the same denominator, add them by adding their numerators.

$$\frac{72+5}{2}+144+72$$

Add 72 and 5 to get 77.

$$\frac{77}{2}+144+72$$

Convert 144 to fraction \frac{288}{2}.

$$\frac{77}{2}+\frac{288}{2}+72$$

Since \frac{77}{2} and \frac{288}{2} have the same denominator, add them by adding their numerators.

$$\frac{77+288}{2}+72$$

Add 77 and 288 to get 365.

$$\frac{365}{2}+72$$

Convert 72 to fraction \frac{144}{2}.

$$\frac{365}{2}+\frac{144}{2}$$

Since \frac{365}{2} and \frac{144}{2} have the same denominator, add them by adding their numerators.

$$\frac{365+144}{2}$$

Add 365 and 144 to get 509.

$$\frac{509}{2}$$

Factor

$$\frac{509}{2} = 254\frac{1}{2} = 254.5$$