Solve 1/2+3/8-1/4+2

$$\frac { 1 } { 2 } + \frac { 3 } { 8 } - \frac { 1 } { 4 } + 2$$

Evaluate

$$\frac{21}{8}=2.625$$

Solution Steps

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{3}{8} to fractions with denominator 8.

$$\frac{4}{8}+\frac{3}{8}-\frac{1}{4}+2$$

Since \frac{4}{8} and \frac{3}{8} have the same denominator, add them by adding their numerators.

$$\frac{4+3}{8}-\frac{1}{4}+2$$

Add 4 and 3 to get 7.

$$\frac{7}{8}-\frac{1}{4}+2$$

Least common multiple of 8 and 4 is 8. Convert \frac{7}{8} and \frac{1}{4} to fractions with denominator 8.

$$\frac{7}{8}-\frac{2}{8}+2$$

Since \frac{7}{8} and \frac{2}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-2}{8}+2$$

Subtract 2 from 7 to get 5.

$$\frac{5}{8}+2$$

Convert 2 to fraction \frac{16}{8}.

$$\frac{5}{8}+\frac{16}{8}$$

Since \frac{5}{8} and \frac{16}{8} have the same denominator, add them by adding their numerators.

$$\frac{5+16}{8}$$

Add 5 and 16 to get 21.

$$\frac{21}{8}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {3}} = 2\frac{5}{8} = 2.625$$