Solve 14/45+1/99

$$\frac { 14 } { 45 } + \frac { 1 } { 99 }$$

Evaluate

$$\frac{53}{165}\approx 0.321212121$$

Solution Steps

Least common multiple of 45 and 99 is 495. Convert \frac{14}{45} and \frac{1}{99} to fractions with denominator 495.

$$\frac{154}{495}+\frac{5}{495}$$

Since \frac{154}{495} and \frac{5}{495} have the same denominator, add them by adding their numerators.

$$\frac{154+5}{495}$$

Add 154 and 5 to get 159.

$$\frac{159}{495}$$

Reduce the fraction \frac{159}{495} to lowest terms by extracting and canceling out 3.

$$\frac{53}{165}$$

Factor

$$\frac{53}{3 \cdot 5 \cdot 11} = 0.3212121212121212$$