Solve 23/4-21/2=

$$2 \frac { 3 } { 4 } - 2 \frac { 1 } { 2 } =$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+3}{4}-\frac{2\times 2+1}{2}$$

Add 8 and 3 to get 11.

$$\frac{11}{4}-\frac{2\times 2+1}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{11}{4}-\frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{11}{4}-\frac{5}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{11}{4} and \frac{5}{2} to fractions with denominator 4.

$$\frac{11}{4}-\frac{10}{4}$$

Since \frac{11}{4} and \frac{10}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-10}{4}$$

Subtract 10 from 11 to get 1.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$