Solve 17/10+8/9

$$\frac { 17 } { 10 } + \frac { 8 } { 9 }$$

Evaluate

$$\frac{233}{90}\approx 2.588888889$$

Solution Steps

Least common multiple of 10 and 9 is 90. Convert \frac{17}{10} and \frac{8}{9} to fractions with denominator 90.

$$\frac{153}{90}+\frac{80}{90}$$

Since \frac{153}{90} and \frac{80}{90} have the same denominator, add them by adding their numerators.

$$\frac{153+80}{90}$$

Add 153 and 80 to get 233.

$$\frac{233}{90}$$

Factor

$$\frac{233}{2 \cdot 3 ^ {2} \cdot 5} = 2\frac{53}{90} = 2.588888888888889$$