Solve 235/8-123/4=

$$23 \frac { 5 } { 8 } - 12 \frac { 3 } { 4 } =$$

Evaluate

$$\frac{87}{8}=10.875$$

Solution Steps

Multiply 23 and 8 to get 184.

$$\frac{184+5}{8}-\frac{12\times 4+3}{4}$$

Add 184 and 5 to get 189.

$$\frac{189}{8}-\frac{12\times 4+3}{4}$$

Multiply 12 and 4 to get 48.

$$\frac{189}{8}-\frac{48+3}{4}$$

Add 48 and 3 to get 51.

$$\frac{189}{8}-\frac{51}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{189}{8} and \frac{51}{4} to fractions with denominator 8.

$$\frac{189}{8}-\frac{102}{8}$$

Since \frac{189}{8} and \frac{102}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{189-102}{8}$$

Subtract 102 from 189 to get 87.

$$\frac{87}{8}$$

Factor

$$\frac{3 \cdot 29}{2 ^ {3}} = 10\frac{7}{8} = 10.875$$