Solve 65/8-41/2=

$$6 \frac { 5 } { 8 } - 4 \frac { 1 } { 2 } =$$

Evaluate

$$\frac{17}{8}=2.125$$

Solution Steps

Multiply 6 and 8 to get 48.

$$\frac{48+5}{8}-\frac{4\times 2+1}{2}$$

Add 48 and 5 to get 53.

$$\frac{53}{8}-\frac{4\times 2+1}{2}$$

Multiply 4 and 2 to get 8.

$$\frac{53}{8}-\frac{8+1}{2}$$

Add 8 and 1 to get 9.

$$\frac{53}{8}-\frac{9}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{53}{8} and \frac{9}{2} to fractions with denominator 8.

$$\frac{53}{8}-\frac{36}{8}$$

Since \frac{53}{8} and \frac{36}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{53-36}{8}$$

Subtract 36 from 53 to get 17.

$$\frac{17}{8}$$

Factor

$$\frac{17}{2 ^ {3}} = 2\frac{1}{8} = 2.125$$