Solve 121/8-43/8

$$12 \frac{ 1 }{ 8 } -4 \frac{ 3 }{ 8 }$$

Evaluate

$$\frac{31}{4}=7.75$$

Solution Steps

Multiply 12 and 8 to get 96.

$$\frac{96+1}{8}-\frac{4\times 8+3}{8}$$

Add 96 and 1 to get 97.

$$\frac{97}{8}-\frac{4\times 8+3}{8}$$

Multiply 4 and 8 to get 32.

$$\frac{97}{8}-\frac{32+3}{8}$$

Add 32 and 3 to get 35.

$$\frac{97}{8}-\frac{35}{8}$$

Since \frac{97}{8} and \frac{35}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{97-35}{8}$$

Subtract 35 from 97 to get 62.

$$\frac{62}{8}$$

Reduce the fraction \frac{62}{8} to lowest terms by extracting and canceling out 2.

$$\frac{31}{4}$$

Factor

$$\frac{31}{2 ^ {2}} = 7\frac{3}{4} = 7.75$$