Solve 119/27+27/19

$$\frac { 119 } { 27 } + \frac { 27 } { 19 }$$

Evaluate

$$\frac{2990}{513}\approx 5.828460039$$

Solution Steps

Least common multiple of 27 and 19 is 513. Convert \frac{119}{27} and \frac{27}{19} to fractions with denominator 513.

$$\frac{2261}{513}+\frac{729}{513}$$

Since \frac{2261}{513} and \frac{729}{513} have the same denominator, add them by adding their numerators.

$$\frac{2261+729}{513}$$

Add 2261 and 729 to get 2990.

$$\frac{2990}{513}$$

Factor

$$\frac{2 \cdot 5 \cdot 13 \cdot 23}{3 ^ {3} \cdot 19} = 5\frac{425}{513} = 5.828460038986354$$