Solve 111/8-43/4=

$$11 \frac { 1 } { 8 } - 4 \frac { 3 } { 4 } =$$

Evaluate

$$\frac{51}{8}=6.375$$

Solution Steps

Multiply 11 and 8 to get 88.

$$\frac{88+1}{8}-\frac{4\times 4+3}{4}$$

Add 88 and 1 to get 89.

$$\frac{89}{8}-\frac{4\times 4+3}{4}$$

Multiply 4 and 4 to get 16.

$$\frac{89}{8}-\frac{16+3}{4}$$

Add 16 and 3 to get 19.

$$\frac{89}{8}-\frac{19}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{89}{8} and \frac{19}{4} to fractions with denominator 8.

$$\frac{89}{8}-\frac{38}{8}$$

Since \frac{89}{8} and \frac{38}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{89-38}{8}$$

Subtract 38 from 89 to get 51.

$$\frac{51}{8}$$

Factor

$$\frac{3 \cdot 17}{2 ^ {3}} = 6\frac{3}{8} = 6.375$$