Solve 168+71-25+3/4-133-2/1+2881/4

$$168 + 71 - 25 + \frac { 3 } { 4 } - 133 - \frac { 2 } { 1 } + 288 \frac { 1 } { 4 }$$

Evaluate

$$368$$

Solution Steps

Add 168 and 71 to get 239.

$$239-25+\frac{3}{4}-133-\frac{2}{1}+\frac{288\times 4+1}{4}$$

Subtract 25 from 239 to get 214.

$$214+\frac{3}{4}-133-\frac{2}{1}+\frac{288\times 4+1}{4}$$

Convert 214 to fraction \frac{856}{4}.

$$\frac{856}{4}+\frac{3}{4}-133-\frac{2}{1}+\frac{288\times 4+1}{4}$$

Since \frac{856}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{856+3}{4}-133-\frac{2}{1}+\frac{288\times 4+1}{4}$$

Add 856 and 3 to get 859.

$$\frac{859}{4}-133-\frac{2}{1}+\frac{288\times 4+1}{4}$$

Convert 133 to fraction \frac{532}{4}.

$$\frac{859}{4}-\frac{532}{4}-\frac{2}{1}+\frac{288\times 4+1}{4}$$

Since \frac{859}{4} and \frac{532}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{859-532}{4}-\frac{2}{1}+\frac{288\times 4+1}{4}$$

Subtract 532 from 859 to get 327.

$$\frac{327}{4}-\frac{2}{1}+\frac{288\times 4+1}{4}$$

Anything divided by one gives itself.

$$\frac{327}{4}-2+\frac{288\times 4+1}{4}$$

Convert 2 to fraction \frac{8}{4}.

$$\frac{327}{4}-\frac{8}{4}+\frac{288\times 4+1}{4}$$

Since \frac{327}{4} and \frac{8}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{327-8}{4}+\frac{288\times 4+1}{4}$$

Subtract 8 from 327 to get 319.

$$\frac{319}{4}+\frac{288\times 4+1}{4}$$

Multiply 288 and 4 to get 1152.

$$\frac{319}{4}+\frac{1152+1}{4}$$

Add 1152 and 1 to get 1153.

$$\frac{319}{4}+\frac{1153}{4}$$

Since \frac{319}{4} and \frac{1153}{4} have the same denominator, add them by adding their numerators.

$$\frac{319+1153}{4}$$

Add 319 and 1153 to get 1472.

$$\frac{1472}{4}$$

Divide 1472 by 4 to get 368.

$$368$$

Factor

$$2^{4}\times 23$$