Solve 5/2-5/4+3/5=

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

Evaluate

$$\frac{37}{20}=1.85$$

Solution Steps

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

$$\frac{10}{4}-\frac{5}{4}+\frac{3}{5}$$

Since \frac{10}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-5}{4}+\frac{3}{5}$$

Subtract 5 from 10 to get 5.

$$\frac{5}{4}+\frac{3}{5}$$

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

$$\frac{25}{20}+\frac{12}{20}$$

Since \frac{25}{20} and \frac{12}{20} have the same denominator, add them by adding their numerators.

$$\frac{25+12}{20}$$

Add 25 and 12 to get 37.

$$\frac{37}{20}$$

Factor

$$\frac{37}{2 ^ {2} \cdot 5} = 1\frac{17}{20} = 1.85$$