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

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

Evaluate

$$\frac{7}{20}=0.35$$

Solution Steps

Convert 1 to fraction \frac{4}{4}.

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

Since \frac{1}{4} and \frac{4}{4} have the same denominator, add them by adding their numerators.

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

Add 1 and 4 to get 5.

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

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

$$\frac{5}{4}-\frac{2}{4}-\frac{2}{5}$$

Since \frac{5}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-2}{4}-\frac{2}{5}$$

Subtract 2 from 5 to get 3.

$$\frac{3}{4}-\frac{2}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{2}{5} to fractions with denominator 20.

$$\frac{15}{20}-\frac{8}{20}$$

Since \frac{15}{20} and \frac{8}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-8}{20}$$

Subtract 8 from 15 to get 7.

$$\frac{7}{20}$$

Factor

$$\frac{7}{2 ^ {2} \cdot 5} = 0.35$$