Solve 3/2+3/4-1/2+1/4

$$\frac{ 3 }{ 2 } + \frac{ 3 }{ 4 } - \frac{ 1 }{ 2 } + \frac{ 1 }{ 4 }$$

Evaluate

$$2$$

Solution Steps

Least common multiple of 2 and 4 is 4. Convert \frac{3}{2} and \frac{3}{4} to fractions with denominator 4.

$$\frac{6}{4}+\frac{3}{4}-\frac{1}{2}+\frac{1}{4}$$

Since \frac{6}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{6+3}{4}-\frac{1}{2}+\frac{1}{4}$$

Add 6 and 3 to get 9.

$$\frac{9}{4}-\frac{1}{2}+\frac{1}{4}$$

Least common multiple of 4 and 2 is 4. Convert \frac{9}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{9}{4}-\frac{2}{4}+\frac{1}{4}$$

Since \frac{9}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-2}{4}+\frac{1}{4}$$

Subtract 2 from 9 to get 7.

$$\frac{7}{4}+\frac{1}{4}$$

Since \frac{7}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{7+1}{4}$$

Add 7 and 1 to get 8.

$$\frac{8}{4}$$

Divide 8 by 4 to get 2.

$$2$$

Factor

$$2$$