Solve A=4/5-2/5*(3-1/4)

$$A = \frac { 4 } { 5 } - \frac { 2 } { 5 } \times ( 3 - \frac { 1 } { 4 } )$$

Solve for A

$$A=-\frac{3}{10}=-0.3$$

Steps for Solving Linear Equation

Convert 3 to fraction \frac{12}{4}.

$$A=\frac{4}{5}-\frac{2}{5}\left(\frac{12}{4}-\frac{1}{4}\right)$$

Since \frac{12}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$A=\frac{4}{5}-\frac{2}{5}\times \frac{12-1}{4}$$

Subtract 1 from 12 to get 11.

$$A=\frac{4}{5}-\frac{2}{5}\times \frac{11}{4}$$

Multiply \frac{2}{5} times \frac{11}{4} by multiplying numerator times numerator and denominator times denominator.

$$A=\frac{4}{5}-\frac{2\times 11}{5\times 4}$$

Do the multiplications in the fraction \frac{2\times 11}{5\times 4}.

$$A=\frac{4}{5}-\frac{22}{20}$$

Reduce the fraction \frac{22}{20} to lowest terms by extracting and canceling out 2.

$$A=\frac{4}{5}-\frac{11}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{4}{5} and \frac{11}{10} to fractions with denominator 10.

$$A=\frac{8}{10}-\frac{11}{10}$$

Since \frac{8}{10} and \frac{11}{10} have the same denominator, subtract them by subtracting their numerators.

$$A=\frac{8-11}{10}$$

Subtract 11 from 8 to get -3.

$$A=-\frac{3}{10}$$

Assign A

$$A≔-\frac{3}{10}$$