Solve 32/13+17/19+333/2=

$$\frac { 32 } { 13 } + \frac { 17 } { 19 } + \frac { 333 } { 2 } =$$

Evaluate

$$\frac{83909}{494}\approx 169.856275304$$

Solution Steps

Least common multiple of 13 and 19 is 247. Convert \frac{32}{13} and \frac{17}{19} to fractions with denominator 247.

$$\frac{608}{247}+\frac{221}{247}+\frac{333}{2}$$

Since \frac{608}{247} and \frac{221}{247} have the same denominator, add them by adding their numerators.

$$\frac{608+221}{247}+\frac{333}{2}$$

Add 608 and 221 to get 829.

$$\frac{829}{247}+\frac{333}{2}$$

Least common multiple of 247 and 2 is 494. Convert \frac{829}{247} and \frac{333}{2} to fractions with denominator 494.

$$\frac{1658}{494}+\frac{82251}{494}$$

Since \frac{1658}{494} and \frac{82251}{494} have the same denominator, add them by adding their numerators.

$$\frac{1658+82251}{494}$$

Add 1658 and 82251 to get 83909.

$$\frac{83909}{494}$$

Factor

$$\frac{7 \cdot 11987}{2 \cdot 13 \cdot 19} = 169\frac{423}{494} = 169.8562753036437$$