Solve 3/4+7/2+4/9

$$\frac { 3 } { 4 } + \frac { 7 } { 2 } + \frac { 4 } { 9 }$$

Evaluate

$$\frac{169}{36}\approx 4.694444444$$

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{7}{2} to fractions with denominator 4.

$$\frac{3}{4}+\frac{14}{4}+\frac{4}{9}$$

Since \frac{3}{4} and \frac{14}{4} have the same denominator, add them by adding their numerators.

$$\frac{3+14}{4}+\frac{4}{9}$$

Add 3 and 14 to get 17.

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

Least common multiple of 4 and 9 is 36. Convert \frac{17}{4} and \frac{4}{9} to fractions with denominator 36.

$$\frac{153}{36}+\frac{16}{36}$$

Since \frac{153}{36} and \frac{16}{36} have the same denominator, add them by adding their numerators.

$$\frac{153+16}{36}$$

Add 153 and 16 to get 169.

$$\frac{169}{36}$$

Factor

$$\frac{13 ^ {2}}{2 ^ {2} \cdot 3 ^ {2}} = 4\frac{25}{36} = 4.694444444444445$$