Solve 1+1/4-1/5=

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

Evaluate

$$\frac{21}{20}=1.05$$

Solution Steps

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

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

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

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

Add 4 and 1 to get 5.

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

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

$$\frac{25}{20}-\frac{4}{20}$$

Since \frac{25}{20} and \frac{4}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-4}{20}$$

Subtract 4 from 25 to get 21.

$$\frac{21}{20}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {2} \cdot 5} = 1\frac{1}{20} = 1.05$$