Solve 91/4-81/2=

$$9 \frac { 1 } { 4 } - 8 \frac { 1 } { 2 } =$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Multiply 9 and 4 to get 36.

$$\frac{36+1}{4}-\frac{8\times 2+1}{2}$$

Add 36 and 1 to get 37.

$$\frac{37}{4}-\frac{8\times 2+1}{2}$$

Multiply 8 and 2 to get 16.

$$\frac{37}{4}-\frac{16+1}{2}$$

Add 16 and 1 to get 17.

$$\frac{37}{4}-\frac{17}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{37}{4} and \frac{17}{2} to fractions with denominator 4.

$$\frac{37}{4}-\frac{34}{4}$$

Since \frac{37}{4} and \frac{34}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{37-34}{4}$$

Subtract 34 from 37 to get 3.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$