Solve 61/2-31/8

$$6 \frac { 1 } { 2 } - 3 \frac { 1 } { 8 }$$

Evaluate

$$\frac{27}{8}=3.375$$

Solution Steps

Multiply 6 and 2 to get 12.

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

Add 12 and 1 to get 13.

$$\frac{13}{2}-\frac{3\times 8+1}{8}$$

Multiply 3 and 8 to get 24.

$$\frac{13}{2}-\frac{24+1}{8}$$

Add 24 and 1 to get 25.

$$\frac{13}{2}-\frac{25}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{13}{2} and \frac{25}{8} to fractions with denominator 8.

$$\frac{52}{8}-\frac{25}{8}$$

Since \frac{52}{8} and \frac{25}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{52-25}{8}$$

Subtract 25 from 52 to get 27.

$$\frac{27}{8}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {3}} = 3\frac{3}{8} = 3.375$$