Solve 36/51+11/30

$$\frac{ 36 }{ 51 } + \frac{ 11 }{ 30 }$$

Evaluate

$$\frac{547}{510}\approx 1.07254902$$

Solution Steps

Reduce the fraction \frac{36}{51} to lowest terms by extracting and canceling out 3.

$$\frac{12}{17}+\frac{11}{30}$$

Least common multiple of 17 and 30 is 510. Convert \frac{12}{17} and \frac{11}{30} to fractions with denominator 510.

$$\frac{360}{510}+\frac{187}{510}$$

Since \frac{360}{510} and \frac{187}{510} have the same denominator, add them by adding their numerators.

$$\frac{360+187}{510}$$

Add 360 and 187 to get 547.

$$\frac{547}{510}$$

Factor

$$\frac{547}{2 \cdot 3 \cdot 5 \cdot 17} = 1\frac{37}{510} = 1.072549019607843$$