Solve -5/12+33/4=

$$- \frac { 5 } { 12 } + 3 \frac { 3 } { 4 } =$$

Evaluate

$$\frac{10}{3}\approx 3.333333333$$

Solution Steps

Multiply 3 and 4 to get 12.

$$-\frac{5}{12}+\frac{12+3}{4}$$

Add 12 and 3 to get 15.

$$-\frac{5}{12}+\frac{15}{4}$$

Least common multiple of 12 and 4 is 12. Convert -\frac{5}{12} and \frac{15}{4} to fractions with denominator 12.

$$-\frac{5}{12}+\frac{45}{12}$$

Since -\frac{5}{12} and \frac{45}{12} have the same denominator, add them by adding their numerators.

$$\frac{-5+45}{12}$$

Add -5 and 45 to get 40.

$$\frac{40}{12}$$

Reduce the fraction \frac{40}{12} to lowest terms by extracting and canceling out 4.

$$\frac{10}{3}$$

Factor

$$\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3.3333333333333335$$