Solve 7/18+5/12+4/9

$$\frac { 7 } { 18 } + \frac { 5 } { 12 } + \frac { 4 } { 9 }$$

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Least common multiple of 18 and 12 is 36. Convert \frac{7}{18} and \frac{5}{12} to fractions with denominator 36.

$$\frac{14}{36}+\frac{15}{36}+\frac{4}{9}$$

Since \frac{14}{36} and \frac{15}{36} have the same denominator, add them by adding their numerators.

$$\frac{14+15}{36}+\frac{4}{9}$$

Add 14 and 15 to get 29.

$$\frac{29}{36}+\frac{4}{9}$$

Least common multiple of 36 and 9 is 36. Convert \frac{29}{36} and \frac{4}{9} to fractions with denominator 36.

$$\frac{29}{36}+\frac{16}{36}$$

Since \frac{29}{36} and \frac{16}{36} have the same denominator, add them by adding their numerators.

$$\frac{29+16}{36}$$

Add 29 and 16 to get 45.

$$\frac{45}{36}$$

Reduce the fraction \frac{45}{36} to lowest terms by extracting and canceling out 9.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$