Solve 21/4+5/6

$$2 \frac{ 1 }{ 4 } + \frac{ 5 }{ 6 }$$

Evaluate

$$\frac{37}{12}\approx 3.083333333$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+1}{4}+\frac{5}{6}$$

Add 8 and 1 to get 9.

$$\frac{9}{4}+\frac{5}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{9}{4} and \frac{5}{6} to fractions with denominator 12.

$$\frac{27}{12}+\frac{10}{12}$$

Since \frac{27}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$\frac{27+10}{12}$$

Add 27 and 10 to get 37.

$$\frac{37}{12}$$

Factor

$$\frac{37}{2 ^ {2} \cdot 3} = 3\frac{1}{12} = 3.0833333333333335$$