Solve 11/2-21/4=

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

Evaluate

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

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Multiply 2 and 4 to get 8.

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

Add 8 and 1 to get 9.

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

Least common multiple of 2 and 4 is 4. Convert \frac{3}{2} and \frac{9}{4} to fractions with denominator 4.

$$\frac{6}{4}-\frac{9}{4}$$

Since \frac{6}{4} and \frac{9}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-9}{4}$$

Subtract 9 from 6 to get -3.

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

Factor

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