Solve 3/7-1/3+1/42=

$$\frac { 3 } { 7 } - \frac { 1 } { 3 } + \frac { 1 } { 42 } =$$

Evaluate

$$\frac{5}{42}\approx 0.119047619$$

Solution Steps

Least common multiple of 7 and 3 is 21. Convert \frac{3}{7} and \frac{1}{3} to fractions with denominator 21.

$$\frac{9}{21}-\frac{7}{21}+\frac{1}{42}$$

Since \frac{9}{21} and \frac{7}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-7}{21}+\frac{1}{42}$$

Subtract 7 from 9 to get 2.

$$\frac{2}{21}+\frac{1}{42}$$

Least common multiple of 21 and 42 is 42. Convert \frac{2}{21} and \frac{1}{42} to fractions with denominator 42.

$$\frac{4}{42}+\frac{1}{42}$$

Since \frac{4}{42} and \frac{1}{42} have the same denominator, add them by adding their numerators.

$$\frac{4+1}{42}$$

Add 4 and 1 to get 5.

$$\frac{5}{42}$$

Factor

$$\frac{5}{2 \cdot 3 \cdot 7} = 0.11904761904761904$$