Solve 6/7+(5/14-6/7)

$$\frac { 6 } { 7 } + ( \frac { 5 } { 14 } - \frac { 6 } { 7 } )$$

Evaluate

$$\frac{5}{14}\approx 0.357142857$$

Solution Steps

Least common multiple of 7 and 14 is 14. Convert \frac{6}{7} and \frac{5}{14} to fractions with denominator 14.

$$\frac{12}{14}+\frac{5}{14}-\frac{6}{7}$$

Since \frac{12}{14} and \frac{5}{14} have the same denominator, add them by adding their numerators.

$$\frac{12+5}{14}-\frac{6}{7}$$

Add 12 and 5 to get 17.

$$\frac{17}{14}-\frac{6}{7}$$

Least common multiple of 14 and 7 is 14. Convert \frac{17}{14} and \frac{6}{7} to fractions with denominator 14.

$$\frac{17}{14}-\frac{12}{14}$$

Since \frac{17}{14} and \frac{12}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-12}{14}$$

Subtract 12 from 17 to get 5.

$$\frac{5}{14}$$

Factor

$$\frac{5}{2 \cdot 7} = 0.35714285714285715$$