Solve 71/78+85/45

$$\frac{ 71 }{ 78 } + \frac{ 85 }{ 45 }$$

Evaluate

$$\frac{655}{234}\approx 2.799145299$$

Solution Steps

Reduce the fraction \frac{85}{45} to lowest terms by extracting and canceling out 5.

$$\frac{71}{78}+\frac{17}{9}$$

Least common multiple of 78 and 9 is 234. Convert \frac{71}{78} and \frac{17}{9} to fractions with denominator 234.

$$\frac{213}{234}+\frac{442}{234}$$

Since \frac{213}{234} and \frac{442}{234} have the same denominator, add them by adding their numerators.

$$\frac{213+442}{234}$$

Add 213 and 442 to get 655.

$$\frac{655}{234}$$

Factor

$$\frac{5 \cdot 131}{2 \cdot 3 ^ {2} \cdot 13} = 2\frac{187}{234} = 2.799145299145299$$