Solve 3/7+5/63+4/9=?

$$\frac { 3 } { 7 } + \frac { 5 } { 63 } + \frac { 4 } { 9 } = ?$$

Evaluate

$$\frac{20}{21}\approx 0.952380952$$

Solution Steps

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

$$\frac{27}{63}+\frac{5}{63}+\frac{4}{9}$$

Since \frac{27}{63} and \frac{5}{63} have the same denominator, add them by adding their numerators.

$$\frac{27+5}{63}+\frac{4}{9}$$

Add 27 and 5 to get 32.

$$\frac{32}{63}+\frac{4}{9}$$

Least common multiple of 63 and 9 is 63. Convert \frac{32}{63} and \frac{4}{9} to fractions with denominator 63.

$$\frac{32}{63}+\frac{28}{63}$$

Since \frac{32}{63} and \frac{28}{63} have the same denominator, add them by adding their numerators.

$$\frac{32+28}{63}$$

Add 32 and 28 to get 60.

$$\frac{60}{63}$$

Reduce the fraction \frac{60}{63} to lowest terms by extracting and canceling out 3.

$$\frac{20}{21}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3 \cdot 7} = 0.9523809523809523$$