Solve 121/4-41/8=

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

Evaluate

$$\frac{65}{8}=8.125$$

Solution Steps

Multiply 12 and 4 to get 48.

$$\frac{48+1}{4}-\frac{4\times 8+1}{8}$$

Add 48 and 1 to get 49.

$$\frac{49}{4}-\frac{4\times 8+1}{8}$$

Multiply 4 and 8 to get 32.

$$\frac{49}{4}-\frac{32+1}{8}$$

Add 32 and 1 to get 33.

$$\frac{49}{4}-\frac{33}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{49}{4} and \frac{33}{8} to fractions with denominator 8.

$$\frac{98}{8}-\frac{33}{8}$$

Since \frac{98}{8} and \frac{33}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{98-33}{8}$$

Subtract 33 from 98 to get 65.

$$\frac{65}{8}$$

Factor

$$\frac{5 \cdot 13}{2 ^ {3}} = 8\frac{1}{8} = 8.125$$