Solve 1/5+3/7+1/3=

$$\frac { 1 } { 5 } + \frac { 3 } { 7 } + \frac { 1 } { 3 } =$$

Evaluate

$$\frac{101}{105}\approx 0.961904762$$

Solution Steps

Least common multiple of 5 and 7 is 35. Convert \frac{1}{5} and \frac{3}{7} to fractions with denominator 35.

$$\frac{7}{35}+\frac{15}{35}+\frac{1}{3}$$

Since \frac{7}{35} and \frac{15}{35} have the same denominator, add them by adding their numerators.

$$\frac{7+15}{35}+\frac{1}{3}$$

Add 7 and 15 to get 22.

$$\frac{22}{35}+\frac{1}{3}$$

Least common multiple of 35 and 3 is 105. Convert \frac{22}{35} and \frac{1}{3} to fractions with denominator 105.

$$\frac{66}{105}+\frac{35}{105}$$

Since \frac{66}{105} and \frac{35}{105} have the same denominator, add them by adding their numerators.

$$\frac{66+35}{105}$$

Add 66 and 35 to get 101.

$$\frac{101}{105}$$

Factor

$$\frac{101}{3 \cdot 5 \cdot 7} = 0.9619047619047619$$