Solve 44/8-quad43/8

$$4 \frac { 4 } { 8 } - \quad 4 \frac { 3 } { 8 }$$

Evaluate

$$\frac{1}{8}=0.125$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{32+4}{8}-\frac{4\times 8+3}{8}$$

Add 32 and 4 to get 36.

$$\frac{36}{8}-\frac{4\times 8+3}{8}$$

Reduce the fraction \frac{36}{8} to lowest terms by extracting and canceling out 4.

$$\frac{9}{2}-\frac{4\times 8+3}{8}$$

Multiply 4 and 8 to get 32.

$$\frac{9}{2}-\frac{32+3}{8}$$

Add 32 and 3 to get 35.

$$\frac{9}{2}-\frac{35}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{9}{2} and \frac{35}{8} to fractions with denominator 8.

$$\frac{36}{8}-\frac{35}{8}$$

Since \frac{36}{8} and \frac{35}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36-35}{8}$$

Subtract 35 from 36 to get 1.

$$\frac{1}{8}$$

Factor

$$\frac{1}{2 ^ {3}} = 0.125$$