Solve 5/9+7/12+3/4

$$\frac{ 5 }{ 9 } + \frac{ 7 }{ 12 } + \frac{ 3 }{ 4 }$$

Evaluate

$$\frac{17}{9}\approx 1.888888889$$

Solution Steps

Least common multiple of 9 and 12 is 36. Convert \frac{5}{9} and \frac{7}{12} to fractions with denominator 36.

$$\frac{20}{36}+\frac{21}{36}+\frac{3}{4}$$

Since \frac{20}{36} and \frac{21}{36} have the same denominator, add them by adding their numerators.

$$\frac{20+21}{36}+\frac{3}{4}$$

Add 20 and 21 to get 41.

$$\frac{41}{36}+\frac{3}{4}$$

Least common multiple of 36 and 4 is 36. Convert \frac{41}{36} and \frac{3}{4} to fractions with denominator 36.

$$\frac{41}{36}+\frac{27}{36}$$

Since \frac{41}{36} and \frac{27}{36} have the same denominator, add them by adding their numerators.

$$\frac{41+27}{36}$$

Add 41 and 27 to get 68.

$$\frac{68}{36}$$

Reduce the fraction \frac{68}{36} to lowest terms by extracting and canceling out 4.

$$\frac{17}{9}$$

Factor

$$\frac{17}{3 ^ {2}} = 1\frac{8}{9} = 1.8888888888888888$$