Solve A:(1/5+3/10):1/2-0,6

$$A : ( \frac { 1 } { 5 } + \frac { 3 } { 10 } ) : \frac { 1 } { 2 } - 0,6$$

Evaluate

$$4A-0,6$$

Solution Steps

Divide \frac{A}{\frac{1}{5}+\frac{3}{10}} by \frac{1}{2} by multiplying \frac{A}{\frac{1}{5}+\frac{3}{10}} by the reciprocal of \frac{1}{2}.

$$\frac{A\times 2}{\frac{1}{5}+\frac{3}{10}}-0,6$$

Least common multiple of 5 and 10 is 10. Convert \frac{1}{5} and \frac{3}{10} to fractions with denominator 10.

$$\frac{A\times 2}{\frac{2}{10}+\frac{3}{10}}-0,6$$

Since \frac{2}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

$$\frac{A\times 2}{\frac{2+3}{10}}-0,6$$

Add 2 and 3 to get 5.

$$\frac{A\times 2}{\frac{5}{10}}-0,6$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{A\times 2}{\frac{1}{2}}-0,6$$

Divide A\times 2 by \frac{1}{2} by multiplying A\times 2 by the reciprocal of \frac{1}{2}.

$$A\times 2\times 2-0,6$$

Multiply 2 and 2 to get 4.

$$A\times 4-0,6$$

Factor

$$4A-0,6$$