Solve 1/2+3/7+4/9

$$\frac { 1 } { 2 } + \frac { 3 } { 7 } + \frac { 4 } { 9 }$$

Evaluate

$$\frac{173}{126}\approx 1.373015873$$

Solution Steps

Least common multiple of 2 and 7 is 14. Convert \frac{1}{2} and \frac{3}{7} to fractions with denominator 14.

$$\frac{7}{14}+\frac{6}{14}+\frac{4}{9}$$

Since \frac{7}{14} and \frac{6}{14} have the same denominator, add them by adding their numerators.

$$\frac{7+6}{14}+\frac{4}{9}$$

Add 7 and 6 to get 13.

$$\frac{13}{14}+\frac{4}{9}$$

Least common multiple of 14 and 9 is 126. Convert \frac{13}{14} and \frac{4}{9} to fractions with denominator 126.

$$\frac{117}{126}+\frac{56}{126}$$

Since \frac{117}{126} and \frac{56}{126} have the same denominator, add them by adding their numerators.

$$\frac{117+56}{126}$$

Add 117 and 56 to get 173.

$$\frac{173}{126}$$

Factor

$$\frac{173}{2 \cdot 3 ^ {2} \cdot 7} = 1\frac{47}{126} = 1.373015873015873$$