Solve 3/5+9/17+3/2

$$\frac { 3 } { 5 } + \frac { 9 } { 17 } + \frac { 3 } { 2 }$$

Evaluate

$$\frac{447}{170}\approx 2.629411765$$

Solution Steps

Least common multiple of 5 and 17 is 85. Convert \frac{3}{5} and \frac{9}{17} to fractions with denominator 85.

$$\frac{51}{85}+\frac{45}{85}+\frac{3}{2}$$

Since \frac{51}{85} and \frac{45}{85} have the same denominator, add them by adding their numerators.

$$\frac{51+45}{85}+\frac{3}{2}$$

Add 51 and 45 to get 96.

$$\frac{96}{85}+\frac{3}{2}$$

Least common multiple of 85 and 2 is 170. Convert \frac{96}{85} and \frac{3}{2} to fractions with denominator 170.

$$\frac{192}{170}+\frac{255}{170}$$

Since \frac{192}{170} and \frac{255}{170} have the same denominator, add them by adding their numerators.

$$\frac{192+255}{170}$$

Add 192 and 255 to get 447.

$$\frac{447}{170}$$

Factor

$$\frac{3 \cdot 149}{2 \cdot 5 \cdot 17} = 2\frac{107}{170} = 2.6294117647058823$$