Solve -1/4+21/12=

$$- \frac { 1 } { 4 } + 2 \frac { 1 } { 12 } =$$

Evaluate

$$\frac{11}{6}\approx 1.833333333$$

Solution Steps

Multiply 2 and 12 to get 24.

$$-\frac{1}{4}+\frac{24+1}{12}$$

Add 24 and 1 to get 25.

$$-\frac{1}{4}+\frac{25}{12}$$

Least common multiple of 4 and 12 is 12. Convert -\frac{1}{4} and \frac{25}{12} to fractions with denominator 12.

$$-\frac{3}{12}+\frac{25}{12}$$

Since -\frac{3}{12} and \frac{25}{12} have the same denominator, add them by adding their numerators.

$$\frac{-3+25}{12}$$

Add -3 and 25 to get 22.

$$\frac{22}{12}$$

Reduce the fraction \frac{22}{12} to lowest terms by extracting and canceling out 2.

$$\frac{11}{6}$$

Factor

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$