Solve 2/7+6/14-7/28

$$\frac { 2 } { 7 } + \frac { 6 } { 14 } - \frac { 7 } { 28 }$$

Evaluate

$$\frac{13}{28}\approx 0.464285714$$

Solution Steps

Reduce the fraction \frac{6}{14} to lowest terms by extracting and canceling out 2.

$$\frac{2}{7}+\frac{3}{7}-\frac{7}{28}$$

Since \frac{2}{7} and \frac{3}{7} have the same denominator, add them by adding their numerators.

$$\frac{2+3}{7}-\frac{7}{28}$$

Add 2 and 3 to get 5.

$$\frac{5}{7}-\frac{7}{28}$$

Reduce the fraction \frac{7}{28} to lowest terms by extracting and canceling out 7.

$$\frac{5}{7}-\frac{1}{4}$$

Least common multiple of 7 and 4 is 28. Convert \frac{5}{7} and \frac{1}{4} to fractions with denominator 28.

$$\frac{20}{28}-\frac{7}{28}$$

Since \frac{20}{28} and \frac{7}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-7}{28}$$

Subtract 7 from 20 to get 13.

$$\frac{13}{28}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 7} = 0.4642857142857143$$