Solve 3/7+4/13+2/13

$$\frac{ 3 }{ 7 } + \frac{ 4 }{ 13 } + \frac{ 2 }{ 13 }$$

Evaluate

$$\frac{81}{91}\approx 0.89010989$$

Solution Steps

Least common multiple of 7 and 13 is 91. Convert \frac{3}{7} and \frac{4}{13} to fractions with denominator 91.

$$\frac{39}{91}+\frac{28}{91}+\frac{2}{13}$$

Since \frac{39}{91} and \frac{28}{91} have the same denominator, add them by adding their numerators.

$$\frac{39+28}{91}+\frac{2}{13}$$

Add 39 and 28 to get 67.

$$\frac{67}{91}+\frac{2}{13}$$

Least common multiple of 91 and 13 is 91. Convert \frac{67}{91} and \frac{2}{13} to fractions with denominator 91.

$$\frac{67}{91}+\frac{14}{91}$$

Since \frac{67}{91} and \frac{14}{91} have the same denominator, add them by adding their numerators.

$$\frac{67+14}{91}$$

Add 67 and 14 to get 81.

$$\frac{81}{91}$$

Factor

$$\frac{3 ^ {4}}{7 \cdot 13} = 0.8901098901098901$$