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

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

Evaluate

$$2$$

Solution Steps

Least common multiple of 7 and 9 is 63. Convert \frac{3}{7} and \frac{5}{9} to fractions with denominator 63.

$$\frac{27}{63}+\frac{35}{63}+\frac{4}{7}+\frac{4}{9}$$

Since \frac{27}{63} and \frac{35}{63} have the same denominator, add them by adding their numerators.

$$\frac{27+35}{63}+\frac{4}{7}+\frac{4}{9}$$

Add 27 and 35 to get 62.

$$\frac{62}{63}+\frac{4}{7}+\frac{4}{9}$$

Least common multiple of 63 and 7 is 63. Convert \frac{62}{63} and \frac{4}{7} to fractions with denominator 63.

$$\frac{62}{63}+\frac{36}{63}+\frac{4}{9}$$

Since \frac{62}{63} and \frac{36}{63} have the same denominator, add them by adding their numerators.

$$\frac{62+36}{63}+\frac{4}{9}$$

Add 62 and 36 to get 98.

$$\frac{98}{63}+\frac{4}{9}$$

Reduce the fraction \frac{98}{63} to lowest terms by extracting and canceling out 7.

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

Since \frac{14}{9} and \frac{4}{9} have the same denominator, add them by adding their numerators.

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

Add 14 and 4 to get 18.

$$\frac{18}{9}$$

Divide 18 by 9 to get 2.

$$2$$

Factor

$$2$$