Solve 0.25/0.75+0.6/2.7

$$\frac { 0.25 } { 0.75 } + \frac { 0.6 } { 2.7 }$$

Evaluate

$$\frac{5}{9}\approx 0.555555556$$

Solution Steps

Expand \frac{0.25}{0.75} by multiplying both numerator and the denominator by 100.

$$\frac{25}{75}+\frac{0.6}{2.7}$$

Reduce the fraction \frac{25}{75} to lowest terms by extracting and canceling out 25.

$$\frac{1}{3}+\frac{0.6}{2.7}$$

Expand \frac{0.6}{2.7} by multiplying both numerator and the denominator by 10.

$$\frac{1}{3}+\frac{6}{27}$$

Reduce the fraction \frac{6}{27} to lowest terms by extracting and canceling out 3.

$$\frac{1}{3}+\frac{2}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{1}{3} and \frac{2}{9} to fractions with denominator 9.

$$\frac{3}{9}+\frac{2}{9}$$

Since \frac{3}{9} and \frac{2}{9} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{9}$$

Add 3 and 2 to get 5.

$$\frac{5}{9}$$

Factor

$$\frac{5}{3 ^ {2}} = 0.5555555555555556$$