Solve 1/15+1/63+1/143

$$\frac { 1 } { 15 } + \frac { 1 } { 63 } + \frac { 1 } { 143 }$$

Evaluate

$$\frac{4033}{45045}\approx 0.08953269$$

Solution Steps

Least common multiple of 15 and 63 is 315. Convert \frac{1}{15} and \frac{1}{63} to fractions with denominator 315.

$$\frac{21}{315}+\frac{5}{315}+\frac{1}{143}$$

Since \frac{21}{315} and \frac{5}{315} have the same denominator, add them by adding their numerators.

$$\frac{21+5}{315}+\frac{1}{143}$$

Add 21 and 5 to get 26.

$$\frac{26}{315}+\frac{1}{143}$$

Least common multiple of 315 and 143 is 45045. Convert \frac{26}{315} and \frac{1}{143} to fractions with denominator 45045.

$$\frac{3718}{45045}+\frac{315}{45045}$$

Since \frac{3718}{45045} and \frac{315}{45045} have the same denominator, add them by adding their numerators.

$$\frac{3718+315}{45045}$$

Add 3718 and 315 to get 4033.

$$\frac{4033}{45045}$$

Factor

$$\frac{37 \cdot 109}{3 ^ {2} \cdot 5 \cdot 7 \cdot 11 \cdot 13} = 0.08953268953268953$$