Solve 14/54+54/51

$$\frac{ 14 }{ 54 } + \frac{ 54 }{ 51 }$$

Evaluate

$$\frac{605}{459}\approx 1.318082789$$

Solution Steps

Reduce the fraction \frac{14}{54} to lowest terms by extracting and canceling out 2.

$$\frac{7}{27}+\frac{54}{51}$$

Reduce the fraction \frac{54}{51} to lowest terms by extracting and canceling out 3.

$$\frac{7}{27}+\frac{18}{17}$$

Least common multiple of 27 and 17 is 459. Convert \frac{7}{27} and \frac{18}{17} to fractions with denominator 459.

$$\frac{119}{459}+\frac{486}{459}$$

Since \frac{119}{459} and \frac{486}{459} have the same denominator, add them by adding their numerators.

$$\frac{119+486}{459}$$

Add 119 and 486 to get 605.

$$\frac{605}{459}$$

Factor

$$\frac{5 \cdot 11 ^ {2}}{3 ^ {3} \cdot 17} = 1\frac{146}{459} = 1.318082788671024$$