Solve 5/7+4/9+3/13

$$\frac { 5 } { 7 } + \frac { 4 } { 9 } + \frac { 3 } { 13 }$$

Evaluate

$$\frac{1138}{819}\approx 1.389499389$$

Solution Steps

Least common multiple of 7 and 9 is 63. Convert \frac{5}{7} and \frac{4}{9} to fractions with denominator 63.

$$\frac{45}{63}+\frac{28}{63}+\frac{3}{13}$$

Since \frac{45}{63} and \frac{28}{63} have the same denominator, add them by adding their numerators.

$$\frac{45+28}{63}+\frac{3}{13}$$

Add 45 and 28 to get 73.

$$\frac{73}{63}+\frac{3}{13}$$

Least common multiple of 63 and 13 is 819. Convert \frac{73}{63} and \frac{3}{13} to fractions with denominator 819.

$$\frac{949}{819}+\frac{189}{819}$$

Since \frac{949}{819} and \frac{189}{819} have the same denominator, add them by adding their numerators.

$$\frac{949+189}{819}$$

Add 949 and 189 to get 1138.

$$\frac{1138}{819}$$

Factor

$$\frac{2 \cdot 569}{3 ^ {2} \cdot 7 \cdot 13} = 1\frac{319}{819} = 1.3894993894993894$$