Solve 71/4-37/8

$$7 \frac { 1 } { 4 } - 3 \frac { 7 } { 8 }$$

Evaluate

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

Solution Steps

Multiply 7 and 4 to get 28.

$$\frac{28+1}{4}-\frac{3\times 8+7}{8}$$

Add 28 and 1 to get 29.

$$\frac{29}{4}-\frac{3\times 8+7}{8}$$

Multiply 3 and 8 to get 24.

$$\frac{29}{4}-\frac{24+7}{8}$$

Add 24 and 7 to get 31.

$$\frac{29}{4}-\frac{31}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{29}{4} and \frac{31}{8} to fractions with denominator 8.

$$\frac{58}{8}-\frac{31}{8}$$

Since \frac{58}{8} and \frac{31}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{58-31}{8}$$

Subtract 31 from 58 to get 27.

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

Factor

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