Solve (12/5+4/15)-5/2

$$( \frac{ 12 }{ 5 } + \frac{ 4 }{ 15 } )- \frac{ 5 }{ 2 }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Least common multiple of 5 and 15 is 15. Convert \frac{12}{5} and \frac{4}{15} to fractions with denominator 15.

$$\frac{36}{15}+\frac{4}{15}-\frac{5}{2}$$

Since \frac{36}{15} and \frac{4}{15} have the same denominator, add them by adding their numerators.

$$\frac{36+4}{15}-\frac{5}{2}$$

Add 36 and 4 to get 40.

$$\frac{40}{15}-\frac{5}{2}$$

Reduce the fraction \frac{40}{15} to lowest terms by extracting and canceling out 5.

$$\frac{8}{3}-\frac{5}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{8}{3} and \frac{5}{2} to fractions with denominator 6.

$$\frac{16}{6}-\frac{15}{6}$$

Since \frac{16}{6} and \frac{15}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-15}{6}$$

Subtract 15 from 16 to get 1.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$