Solve 17/4+9/4+19/3

$$\frac { 17 } { 4 } + \frac { 9 } { 4 } + \frac { 19 } { 3 }$$

Evaluate

$$\frac{77}{6}\approx 12.833333333$$

Solution Steps

Since \frac{17}{4} and \frac{9}{4} have the same denominator, add them by adding their numerators.

$$\frac{17+9}{4}+\frac{19}{3}$$

Add 17 and 9 to get 26.

$$\frac{26}{4}+\frac{19}{3}$$

Reduce the fraction \frac{26}{4} to lowest terms by extracting and canceling out 2.

$$\frac{13}{2}+\frac{19}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{13}{2} and \frac{19}{3} to fractions with denominator 6.

$$\frac{39}{6}+\frac{38}{6}$$

Since \frac{39}{6} and \frac{38}{6} have the same denominator, add them by adding their numerators.

$$\frac{39+38}{6}$$

Add 39 and 38 to get 77.

$$\frac{77}{6}$$

Factor

$$\frac{7 \cdot 11}{2 \cdot 3} = 12\frac{5}{6} = 12.833333333333334$$