Solve 21/4+1/3

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

Evaluate

$$\frac{31}{12}\approx 2.583333333$$

Solution Steps

Multiply 2 and 4 to get 8.

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

Add 8 and 1 to get 9.

$$\frac{9}{4}+\frac{1}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{9}{4} and \frac{1}{3} to fractions with denominator 12.

$$\frac{27}{12}+\frac{4}{12}$$

Since \frac{27}{12} and \frac{4}{12} have the same denominator, add them by adding their numerators.

$$\frac{27+4}{12}$$

Add 27 and 4 to get 31.

$$\frac{31}{12}$$

Factor

$$\frac{31}{2 ^ {2} \cdot 3} = 2\frac{7}{12} = 2.5833333333333335$$