Solve A=3/7+1/7*(5+1/2)

$$A = \frac { 3 } { 7 } + \frac { 1 } { 7 } \times ( 5 + \frac { 1 } { 2 } )$$

Solve for A

$$A = \frac{17}{14} = 1\frac{3}{14} \approx 1.214285714$$

Steps for Solving Linear Equation

Convert 5 to fraction \frac{10}{2}.

$$A=\frac{3}{7}+\frac{1}{7}\left(\frac{10}{2}+\frac{1}{2}\right)$$

Since \frac{10}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$A=\frac{3}{7}+\frac{1}{7}\times \frac{10+1}{2}$$

Add 10 and 1 to get 11.

$$A=\frac{3}{7}+\frac{1}{7}\times \frac{11}{2}$$

Multiply \frac{1}{7} times \frac{11}{2} by multiplying numerator times numerator and denominator times denominator.

$$A=\frac{3}{7}+\frac{1\times 11}{7\times 2}$$

Do the multiplications in the fraction \frac{1\times 11}{7\times 2}.

$$A=\frac{3}{7}+\frac{11}{14}$$

Least common multiple of 7 and 14 is 14. Convert \frac{3}{7} and \frac{11}{14} to fractions with denominator 14.

$$A=\frac{6}{14}+\frac{11}{14}$$

Since \frac{6}{14} and \frac{11}{14} have the same denominator, add them by adding their numerators.

$$A=\frac{6+11}{14}$$

Add 6 and 11 to get 17.

$$A=\frac{17}{14}$$

Assign A

$$A≔\frac{17}{14}$$