Solve 14/39+(10/39+2/13)=?

$$\frac { 14 } { 39 } + ( \frac { 10 } { 39 } + \frac { 2 } { 13 } ) = ?$$

Evaluate

$$\frac{10}{13}\approx 0.769230769$$

Solution Steps

Since \frac{14}{39} and \frac{10}{39} have the same denominator, add them by adding their numerators.

$$\frac{14+10}{39}+\frac{2}{13}$$

Add 14 and 10 to get 24.

$$\frac{24}{39}+\frac{2}{13}$$

Reduce the fraction \frac{24}{39} to lowest terms by extracting and canceling out 3.

$$\frac{8}{13}+\frac{2}{13}$$

Since \frac{8}{13} and \frac{2}{13} have the same denominator, add them by adding their numerators.

$$\frac{8+2}{13}$$

Add 8 and 2 to get 10.

$$\frac{10}{13}$$

Factor

$$\frac{2 \cdot 5}{13} = 0.7692307692307693$$