Solve 10/14-4/21+1/6

$$\frac { 10 } { 14 } - \frac { 4 } { 21 } + \frac { 1 } { 6 }$$

Evaluate

$$\frac{29}{42}\approx 0.69047619$$

Solution Steps

Reduce the fraction \frac{10}{14} to lowest terms by extracting and canceling out 2.

$$\frac{5}{7}-\frac{4}{21}+\frac{1}{6}$$

Least common multiple of 7 and 21 is 21. Convert \frac{5}{7} and \frac{4}{21} to fractions with denominator 21.

$$\frac{15}{21}-\frac{4}{21}+\frac{1}{6}$$

Since \frac{15}{21} and \frac{4}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-4}{21}+\frac{1}{6}$$

Subtract 4 from 15 to get 11.

$$\frac{11}{21}+\frac{1}{6}$$

Least common multiple of 21 and 6 is 42. Convert \frac{11}{21} and \frac{1}{6} to fractions with denominator 42.

$$\frac{22}{42}+\frac{7}{42}$$

Since \frac{22}{42} and \frac{7}{42} have the same denominator, add them by adding their numerators.

$$\frac{22+7}{42}$$

Add 22 and 7 to get 29.

$$\frac{29}{42}$$

Factor

$$\frac{29}{2 \cdot 3 \cdot 7} = 0.6904761904761905$$