Solve 27/28+(12/14-5/7)

$$\frac { 27 } { 28 } + ( \frac { 12 } { 14 } - \frac { 5 } { 7 } )$$

Evaluate

$$\frac{31}{28}\approx 1.107142857$$

Solution Steps

Reduce the fraction \frac{12}{14} to lowest terms by extracting and canceling out 2.

$$\frac{27}{28}+\frac{6}{7}-\frac{5}{7}$$

Least common multiple of 28 and 7 is 28. Convert \frac{27}{28} and \frac{6}{7} to fractions with denominator 28.

$$\frac{27}{28}+\frac{24}{28}-\frac{5}{7}$$

Since \frac{27}{28} and \frac{24}{28} have the same denominator, add them by adding their numerators.

$$\frac{27+24}{28}-\frac{5}{7}$$

Add 27 and 24 to get 51.

$$\frac{51}{28}-\frac{5}{7}$$

Least common multiple of 28 and 7 is 28. Convert \frac{51}{28} and \frac{5}{7} to fractions with denominator 28.

$$\frac{51}{28}-\frac{20}{28}$$

Since \frac{51}{28} and \frac{20}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{51-20}{28}$$

Subtract 20 from 51 to get 31.

$$\frac{31}{28}$$

Factor

$$\frac{31}{2 ^ {2} \cdot 7} = 1\frac{3}{28} = 1.1071428571428572$$