Solve 8/9+5/12+8/17=

$$\frac { 8 } { 9 } + \frac { 5 } { 12 } + \frac { 8 } { 17 } =$$

Evaluate

$$\frac{1087}{612}\approx 1.776143791$$

Solution Steps

Least common multiple of 9 and 12 is 36. Convert \frac{8}{9} and \frac{5}{12} to fractions with denominator 36.

$$\frac{32}{36}+\frac{15}{36}+\frac{8}{17}$$

Since \frac{32}{36} and \frac{15}{36} have the same denominator, add them by adding their numerators.

$$\frac{32+15}{36}+\frac{8}{17}$$

Add 32 and 15 to get 47.

$$\frac{47}{36}+\frac{8}{17}$$

Least common multiple of 36 and 17 is 612. Convert \frac{47}{36} and \frac{8}{17} to fractions with denominator 612.

$$\frac{799}{612}+\frac{288}{612}$$

Since \frac{799}{612} and \frac{288}{612} have the same denominator, add them by adding their numerators.

$$\frac{799+288}{612}$$

Add 799 and 288 to get 1087.

$$\frac{1087}{612}$$

Factor

$$\frac{1087}{2 ^ {2} \cdot 3 ^ {2} \cdot 17} = 1\frac{475}{612} = 1.776143790849673$$