Solve 91/2-63/4

$$9 \frac { 1 } { 2 } - 6 \frac { 3 } { 4 }$$

Evaluate

$$\frac{11}{4}=2.75$$

Solution Steps

Multiply 9 and 2 to get 18.

$$\frac{18+1}{2}-\frac{6\times 4+3}{4}$$

Add 18 and 1 to get 19.

$$\frac{19}{2}-\frac{6\times 4+3}{4}$$

Multiply 6 and 4 to get 24.

$$\frac{19}{2}-\frac{24+3}{4}$$

Add 24 and 3 to get 27.

$$\frac{19}{2}-\frac{27}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{19}{2} and \frac{27}{4} to fractions with denominator 4.

$$\frac{38}{4}-\frac{27}{4}$$

Since \frac{38}{4} and \frac{27}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{38-27}{4}$$

Subtract 27 from 38 to get 11.

$$\frac{11}{4}$$

Factor

$$\frac{11}{2 ^ {2}} = 2\frac{3}{4} = 2.75$$