Solve a5/2+2/5-1/4

$$a \frac { 5 } { 2 } + \frac { 2 } { 5 } - \frac { 1 } { 4 }$$

Evaluate

$$\frac{5a}{2}+\frac{3}{20}$$

Solution Steps

Least common multiple of 5 and 4 is 20. Convert \frac{2}{5} and \frac{1}{4} to fractions with denominator 20.

$$a\times \frac{5}{2}+\frac{8}{20}-\frac{5}{20}$$

Since \frac{8}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.

$$a\times \frac{5}{2}+\frac{8-5}{20}$$

Subtract 5 from 8 to get 3.

$$a\times \frac{5}{2}+\frac{3}{20}$$

Factor

$$\frac{50a+3}{20}$$

Solution Steps

Factor out \frac{1}{20}.

$$\frac{50a+3}{20}$$

Consider 50a+8-5. Multiply and combine like terms.

$$50a+3$$

Rewrite the complete factored expression.

$$\frac{50a+3}{20}$$