Solve 4/5+5/6

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

Evaluate

$$\frac{49}{30}\approx 1.633333333$$

Solution Steps

Least common multiple of 5 and 6 is 30. Convert \frac{4}{5} and \frac{5}{6} to fractions with denominator 30.

$$\frac{24}{30}+\frac{25}{30}$$

Since \frac{24}{30} and \frac{25}{30} have the same denominator, add them by adding their numerators.

$$\frac{24+25}{30}$$

Add 24 and 25 to get 49.

$$\frac{49}{30}$$

Factor

$$\frac{7 ^ {2}}{2 \cdot 3 \cdot 5} = 1\frac{19}{30} = 1.6333333333333333$$