Solve 15/4-3/5+4/5

$$\frac{ 15 }{ 4 } - \frac{ 3 }{ 5 } + \frac{ 4 }{ 5 }$$

Evaluate

$$\frac{79}{20}=3.95$$

Solution Steps

Least common multiple of 4 and 5 is 20. Convert \frac{15}{4} and \frac{3}{5} to fractions with denominator 20.

$$\frac{75}{20}-\frac{12}{20}+\frac{4}{5}$$

Since \frac{75}{20} and \frac{12}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{75-12}{20}+\frac{4}{5}$$

Subtract 12 from 75 to get 63.

$$\frac{63}{20}+\frac{4}{5}$$

Least common multiple of 20 and 5 is 20. Convert \frac{63}{20} and \frac{4}{5} to fractions with denominator 20.

$$\frac{63}{20}+\frac{16}{20}$$

Since \frac{63}{20} and \frac{16}{20} have the same denominator, add them by adding their numerators.

$$\frac{63+16}{20}$$

Add 63 and 16 to get 79.

$$\frac{79}{20}$$

Factor

$$\frac{79}{2 ^ {2} \cdot 5} = 3\frac{19}{20} = 3.95$$