Solve 21/8-13/4

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

Evaluate

$$\frac{3}{8}=0.375$$

Solution Steps

Multiply 2 and 8 to get 16.

$$\frac{16+1}{8}-\frac{1\times 4+3}{4}$$

Add 16 and 1 to get 17.

$$\frac{17}{8}-\frac{1\times 4+3}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{17}{8}-\frac{4+3}{4}$$

Add 4 and 3 to get 7.

$$\frac{17}{8}-\frac{7}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{17}{8} and \frac{7}{4} to fractions with denominator 8.

$$\frac{17}{8}-\frac{14}{8}$$

Since \frac{17}{8} and \frac{14}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-14}{8}$$

Subtract 14 from 17 to get 3.

$$\frac{3}{8}$$

Factor

$$\frac{3}{2 ^ {3}} = 0.375$$