Solve 3/10+11/90

$$\frac { 3 } { 10 } + \frac { 11 } { 90 }$$

Evaluate

$$\frac{19}{45}\approx 0.422222222$$

Solution Steps

Least common multiple of 10 and 90 is 90. Convert \frac{3}{10} and \frac{11}{90} to fractions with denominator 90.

$$\frac{27}{90}+\frac{11}{90}$$

Since \frac{27}{90} and \frac{11}{90} have the same denominator, add them by adding their numerators.

$$\frac{27+11}{90}$$

Add 27 and 11 to get 38.

$$\frac{38}{90}$$

Reduce the fraction \frac{38}{90} to lowest terms by extracting and canceling out 2.

$$\frac{19}{45}$$

Factor

$$\frac{19}{3 ^ {2} \cdot 5} = 0.4222222222222222$$