Solve 32/24+11/4

$$\frac{ 32 }{ 24 } + \frac{ 11 }{ 4 }$$

Evaluate

$$\frac{49}{12}\approx 4.083333333$$

Solution Steps

Reduce the fraction \frac{32}{24} to lowest terms by extracting and canceling out 8.

$$\frac{4}{3}+\frac{11}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{4}{3} and \frac{11}{4} to fractions with denominator 12.

$$\frac{16}{12}+\frac{33}{12}$$

Since \frac{16}{12} and \frac{33}{12} have the same denominator, add them by adding their numerators.

$$\frac{16+33}{12}$$

Add 16 and 33 to get 49.

$$\frac{49}{12}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {2} \cdot 3} = 4\frac{1}{12} = 4.083333333333333$$