Solve 11/4+15/6

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

Evaluate

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

Solution Steps

Multiply 1 and 4 to get 4.

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

Add 4 and 1 to get 5.

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

Multiply 1 and 6 to get 6.

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

Add 6 and 5 to get 11.

$$\frac{5}{4}+\frac{11}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{5}{4} and \frac{11}{6} to fractions with denominator 12.

$$\frac{15}{12}+\frac{22}{12}$$

Since \frac{15}{12} and \frac{22}{12} have the same denominator, add them by adding their numerators.

$$\frac{15+22}{12}$$

Add 15 and 22 to get 37.

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

Factor

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