Solve 5/4+17/18+13/12

$$\frac { 5 } { 4 } + \frac { 17 } { 18 } + \frac { 13 } { 12 }$$

Evaluate

$$\frac{59}{18}\approx 3.277777778$$

Solution Steps

Least common multiple of 4 and 18 is 36. Convert \frac{5}{4} and \frac{17}{18} to fractions with denominator 36.

$$\frac{45}{36}+\frac{34}{36}+\frac{13}{12}$$

Since \frac{45}{36} and \frac{34}{36} have the same denominator, add them by adding their numerators.

$$\frac{45+34}{36}+\frac{13}{12}$$

Add 45 and 34 to get 79.

$$\frac{79}{36}+\frac{13}{12}$$

Least common multiple of 36 and 12 is 36. Convert \frac{79}{36} and \frac{13}{12} to fractions with denominator 36.

$$\frac{79}{36}+\frac{39}{36}$$

Since \frac{79}{36} and \frac{39}{36} have the same denominator, add them by adding their numerators.

$$\frac{79+39}{36}$$

Add 79 and 39 to get 118.

$$\frac{118}{36}$$

Reduce the fraction \frac{118}{36} to lowest terms by extracting and canceling out 2.

$$\frac{59}{18}$$

Factor

$$\frac{59}{2 \cdot 3 ^ {2}} = 3\frac{5}{18} = 3.2777777777777777$$