Solve -3/2-23/4+1/4

$$- \frac{ 3 }{ 2 } - \frac{ 23 }{ 4 } + \frac{ 1 }{ 4 }$$

Evaluate

$$-7$$

Solution Steps

Least common multiple of 2 and 4 is 4. Convert -\frac{3}{2} and \frac{23}{4} to fractions with denominator 4.

$$-\frac{6}{4}-\frac{23}{4}+\frac{1}{4}$$

Since -\frac{6}{4} and \frac{23}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-6-23}{4}+\frac{1}{4}$$

Subtract 23 from -6 to get -29.

$$-\frac{29}{4}+\frac{1}{4}$$

Since -\frac{29}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{-29+1}{4}$$

Add -29 and 1 to get -28.

$$\frac{-28}{4}$$

Divide -28 by 4 to get -7.

$$-7$$

Factor

$$-7$$