Solve 27/18+13/15

$$\frac{ 27 }{ 18 } + \frac{ 13 }{ 15 }$$

Evaluate

$$\frac{71}{30}\approx 2.366666667$$

Solution Steps

Reduce the fraction \frac{27}{18} to lowest terms by extracting and canceling out 9.

$$\frac{3}{2}+\frac{13}{15}$$

Least common multiple of 2 and 15 is 30. Convert \frac{3}{2} and \frac{13}{15} to fractions with denominator 30.

$$\frac{45}{30}+\frac{26}{30}$$

Since \frac{45}{30} and \frac{26}{30} have the same denominator, add them by adding their numerators.

$$\frac{45+26}{30}$$

Add 45 and 26 to get 71.

$$\frac{71}{30}$$

Factor

$$\frac{71}{2 \cdot 3 \cdot 5} = 2\frac{11}{30} = 2.3666666666666667$$