Solve R=3/7+(17/14-23/28)

$$R = \frac { 3 } { 7 } + ( \frac { 17 } { 14 } - \frac { 23 } { 28 } )$$

Solve for R

$$R=\frac{23}{28}\approx 0.821428571$$

Steps for Solving Linear Equation

Least common multiple of 7 and 14 is 14. Convert \frac{3}{7} and \frac{17}{14} to fractions with denominator 14.

$$R=\frac{6}{14}+\frac{17}{14}-\frac{23}{28}$$

Since \frac{6}{14} and \frac{17}{14} have the same denominator, add them by adding their numerators.

$$R=\frac{6+17}{14}-\frac{23}{28}$$

Add 6 and 17 to get 23.

$$R=\frac{23}{14}-\frac{23}{28}$$

Least common multiple of 14 and 28 is 28. Convert \frac{23}{14} and \frac{23}{28} to fractions with denominator 28.

$$R=\frac{46}{28}-\frac{23}{28}$$

Since \frac{46}{28} and \frac{23}{28} have the same denominator, subtract them by subtracting their numerators.

$$R=\frac{46-23}{28}$$

Subtract 23 from 46 to get 23.

$$R=\frac{23}{28}$$

Assign R

$$R≔\frac{23}{28}$$