Solve A=5/4+2/5/2-frac{7{5}}

$$A = \frac { \frac { 5 } { 4 } + \frac { 2 } { 5 } } { 2 - \frac { 7 } { 5 } }$$

Solve for A

$$A = \frac{11}{4} = 2\frac{3}{4} = 2.75$$

Steps for Solving Linear Equation

Least common multiple of 4 and 5 is 20. Convert \frac{5}{4} and \frac{2}{5} to fractions with denominator 20.

$$A=\frac{\frac{25}{20}+\frac{8}{20}}{2-\frac{7}{5}}$$

Since \frac{25}{20} and \frac{8}{20} have the same denominator, add them by adding their numerators.

$$A=\frac{\frac{25+8}{20}}{2-\frac{7}{5}}$$

Add 25 and 8 to get 33.

$$A=\frac{\frac{33}{20}}{2-\frac{7}{5}}$$

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

$$A=\frac{\frac{33}{20}}{\frac{10}{5}-\frac{7}{5}}$$

Since \frac{10}{5} and \frac{7}{5} have the same denominator, subtract them by subtracting their numerators.

$$A=\frac{\frac{33}{20}}{\frac{10-7}{5}}$$

Subtract 7 from 10 to get 3.

$$A=\frac{\frac{33}{20}}{\frac{3}{5}}$$

Divide \frac{33}{20} by \frac{3}{5} by multiplying \frac{33}{20} by the reciprocal of \frac{3}{5}.

$$A=\frac{33}{20}\times \frac{5}{3}$$

Multiply \frac{33}{20} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$A=\frac{33\times 5}{20\times 3}$$

Do the multiplications in the fraction \frac{33\times 5}{20\times 3}.

$$A=\frac{165}{60}$$

Reduce the fraction \frac{165}{60} to lowest terms by extracting and canceling out 15.

$$A=\frac{11}{4}$$

Assign A

$$A≔\frac{11}{4}$$