Solve 1/2+23/4-3/8

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

Evaluate

$$\frac{23}{8}=2.875$$

Solution Steps

Multiply 2 and 4 to get 8.

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

Add 8 and 3 to get 11.

$$\frac{1}{2}+\frac{11}{4}-\frac{3}{8}$$

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{11}{4} to fractions with denominator 4.

$$\frac{2}{4}+\frac{11}{4}-\frac{3}{8}$$

Since \frac{2}{4} and \frac{11}{4} have the same denominator, add them by adding their numerators.

$$\frac{2+11}{4}-\frac{3}{8}$$

Add 2 and 11 to get 13.

$$\frac{13}{4}-\frac{3}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{13}{4} and \frac{3}{8} to fractions with denominator 8.

$$\frac{26}{8}-\frac{3}{8}$$

Since \frac{26}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-3}{8}$$

Subtract 3 from 26 to get 23.

$$\frac{23}{8}$$

Factor

$$\frac{23}{2 ^ {3}} = 2\frac{7}{8} = 2.875$$