Solve 23/4-41/2

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

Evaluate

$$-\frac{7}{4}=-1.75$$

Solution Steps

Multiply 2 and 4 to get 8.

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

Add 8 and 3 to get 11.

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

Multiply 4 and 2 to get 8.

$$\frac{11}{4}-\frac{8+1}{2}$$

Add 8 and 1 to get 9.

$$\frac{11}{4}-\frac{9}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{11}{4} and \frac{9}{2} to fractions with denominator 4.

$$\frac{11}{4}-\frac{18}{4}$$

Since \frac{11}{4} and \frac{18}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-18}{4}$$

Subtract 18 from 11 to get -7.

$$-\frac{7}{4}$$

Factor

$$-\frac{7}{4} = -1\frac{3}{4} = -1.75$$