Solve 11/6+23/4

$$1 \frac { 1 } { 6 } + 2 \frac { 3 } { 4 }$$

Evaluate

$$\frac{47}{12}\approx 3.916666667$$

Solution Steps

Multiply 1 and 6 to get 6.

$$\frac{6+1}{6}+\frac{2\times 4+3}{4}$$

Add 6 and 1 to get 7.

$$\frac{7}{6}+\frac{2\times 4+3}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{7}{6}+\frac{8+3}{4}$$

Add 8 and 3 to get 11.

$$\frac{7}{6}+\frac{11}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{7}{6} and \frac{11}{4} to fractions with denominator 12.

$$\frac{14}{12}+\frac{33}{12}$$

Since \frac{14}{12} and \frac{33}{12} have the same denominator, add them by adding their numerators.

$$\frac{14+33}{12}$$

Add 14 and 33 to get 47.

$$\frac{47}{12}$$

Factor

$$\frac{47}{2 ^ {2} \cdot 3} = 3\frac{11}{12} = 3.9166666666666665$$