Solve A=4/7-(6/7-5/7)+1/7

$$A = \frac { 4 } { 7 } - ( \frac { 6 } { 7 } - \frac { 5 } { 7 } ) + \frac { 1 } { 7 }$$

Solve for A

$$A=\frac{4}{7}\approx 0.571428571$$

Steps for Solving Linear Equation

Since \frac{6}{7} and \frac{5}{7} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 5 from 6 to get 1.

$$A=\frac{4}{7}-\frac{1}{7}+\frac{1}{7}$$

Since \frac{4}{7} and \frac{1}{7} have the same denominator, subtract them by subtracting their numerators.

$$A=\frac{4-1}{7}+\frac{1}{7}$$

Subtract 1 from 4 to get 3.

$$A=\frac{3}{7}+\frac{1}{7}$$

Since \frac{3}{7} and \frac{1}{7} have the same denominator, add them by adding their numerators.

$$A=\frac{3+1}{7}$$

Add 3 and 1 to get 4.

$$A=\frac{4}{7}$$

Assign A

$$A≔\frac{4}{7}$$