Solve 123/4-95/8=

$$12 \frac { 3 } { 4 } - 9 \frac { 5 } { 8 } =$$

Evaluate

$$\frac{25}{8}=3.125$$

Solution Steps

Multiply 12 and 4 to get 48.

$$\frac{48+3}{4}-\frac{9\times 8+5}{8}$$

Add 48 and 3 to get 51.

$$\frac{51}{4}-\frac{9\times 8+5}{8}$$

Multiply 9 and 8 to get 72.

$$\frac{51}{4}-\frac{72+5}{8}$$

Add 72 and 5 to get 77.

$$\frac{51}{4}-\frac{77}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{51}{4} and \frac{77}{8} to fractions with denominator 8.

$$\frac{102}{8}-\frac{77}{8}$$

Since \frac{102}{8} and \frac{77}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{102-77}{8}$$

Subtract 77 from 102 to get 25.

$$\frac{25}{8}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {3}} = 3\frac{1}{8} = 3.125$$