Solve 122/8-41/2=

$$12 \frac { 2 } { 8 } - 4 \frac { 1 } { 2 } =$$

Evaluate

$$\frac{31}{4}=7.75$$

Solution Steps

Multiply 12 and 8 to get 96.

$$\frac{96+2}{8}-\frac{4\times 2+1}{2}$$

Add 96 and 2 to get 98.

$$\frac{98}{8}-\frac{4\times 2+1}{2}$$

Reduce the fraction \frac{98}{8} to lowest terms by extracting and canceling out 2.

$$\frac{49}{4}-\frac{4\times 2+1}{2}$$

Multiply 4 and 2 to get 8.

$$\frac{49}{4}-\frac{8+1}{2}$$

Add 8 and 1 to get 9.

$$\frac{49}{4}-\frac{9}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{49}{4} and \frac{9}{2} to fractions with denominator 4.

$$\frac{49}{4}-\frac{18}{4}$$

Since \frac{49}{4} and \frac{18}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{49-18}{4}$$

Subtract 18 from 49 to get 31.

$$\frac{31}{4}$$

Factor

$$\frac{31}{2 ^ {2}} = 7\frac{3}{4} = 7.75$$