Solve 225/100+8/36=

$$\frac { 225 } { 100 } + \frac { 8 } { 36 } =$$

Evaluate

$$\frac{89}{36}\approx 2.472222222$$

Solution Steps

Reduce the fraction \frac{225}{100} to lowest terms by extracting and canceling out 25.

$$\frac{9}{4}+\frac{8}{36}$$

Reduce the fraction \frac{8}{36} to lowest terms by extracting and canceling out 4.

$$\frac{9}{4}+\frac{2}{9}$$

Least common multiple of 4 and 9 is 36. Convert \frac{9}{4} and \frac{2}{9} to fractions with denominator 36.

$$\frac{81}{36}+\frac{8}{36}$$

Since \frac{81}{36} and \frac{8}{36} have the same denominator, add them by adding their numerators.

$$\frac{81+8}{36}$$

Add 81 and 8 to get 89.

$$\frac{89}{36}$$

Factor

$$\frac{89}{2 ^ {2} \cdot 3 ^ {2}} = 2\frac{17}{36} = 2.4722222222222223$$