Solve 31/4-23/8

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

Evaluate

$$\frac{7}{8}=0.875$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+1}{4}-\frac{2\times 8+3}{8}$$

Add 12 and 1 to get 13.

$$\frac{13}{4}-\frac{2\times 8+3}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{13}{4}-\frac{16+3}{8}$$

Add 16 and 3 to get 19.

$$\frac{13}{4}-\frac{19}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{13}{4} and \frac{19}{8} to fractions with denominator 8.

$$\frac{26}{8}-\frac{19}{8}$$

Since \frac{26}{8} and \frac{19}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-19}{8}$$

Subtract 19 from 26 to get 7.

$$\frac{7}{8}$$

Factor

$$\frac{7}{2 ^ {3}} = 0.875$$