Solve 7/4+23/11+8/9

$$\frac { 7 } { 4 } + \frac { 23 } { 11 } + \frac { 8 } { 9 }$$

Evaluate

$$\frac{1873}{396}\approx 4.72979798$$

Solution Steps

Least common multiple of 4 and 11 is 44. Convert \frac{7}{4} and \frac{23}{11} to fractions with denominator 44.

$$\frac{77}{44}+\frac{92}{44}+\frac{8}{9}$$

Since \frac{77}{44} and \frac{92}{44} have the same denominator, add them by adding their numerators.

$$\frac{77+92}{44}+\frac{8}{9}$$

Add 77 and 92 to get 169.

$$\frac{169}{44}+\frac{8}{9}$$

Least common multiple of 44 and 9 is 396. Convert \frac{169}{44} and \frac{8}{9} to fractions with denominator 396.

$$\frac{1521}{396}+\frac{352}{396}$$

Since \frac{1521}{396} and \frac{352}{396} have the same denominator, add them by adding their numerators.

$$\frac{1521+352}{396}$$

Add 1521 and 352 to get 1873.

$$\frac{1873}{396}$$

Factor

$$\frac{1873}{2 ^ {2} \cdot 3 ^ {2} \cdot 11} = 4\frac{289}{396} = 4.72979797979798$$