Solve 123/4-117/8=

$$12 \frac { 3 } { 4 } - 11 \frac { 7 } { 8 } =$$

Evaluate

$$\frac{7}{8}=0.875$$

Solution Steps

Multiply 12 and 4 to get 48.

$$\frac{48+3}{4}-\frac{11\times 8+7}{8}$$

Add 48 and 3 to get 51.

$$\frac{51}{4}-\frac{11\times 8+7}{8}$$

Multiply 11 and 8 to get 88.

$$\frac{51}{4}-\frac{88+7}{8}$$

Add 88 and 7 to get 95.

$$\frac{51}{4}-\frac{95}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{51}{4} and \frac{95}{8} to fractions with denominator 8.

$$\frac{102}{8}-\frac{95}{8}$$

Since \frac{102}{8} and \frac{95}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{102-95}{8}$$

Subtract 95 from 102 to get 7.

$$\frac{7}{8}$$

Factor

$$\frac{7}{2 ^ {3}} = 0.875$$