Solve 0.5/2+8/9

$$\frac{ 0.5 }{ 2 } + \frac{ 8 }{ 9 }$$

Evaluate

$$\frac{41}{36}\approx 1.138888889$$

Solution Steps

Expand \frac{0.5}{2} by multiplying both numerator and the denominator by 10.

$$\frac{5}{20}+\frac{8}{9}$$

Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.

$$\frac{1}{4}+\frac{8}{9}$$

Least common multiple of 4 and 9 is 36. Convert \frac{1}{4} and \frac{8}{9} to fractions with denominator 36.

$$\frac{9}{36}+\frac{32}{36}$$

Since \frac{9}{36} and \frac{32}{36} have the same denominator, add them by adding their numerators.

$$\frac{9+32}{36}$$

Add 9 and 32 to get 41.

$$\frac{41}{36}$$

Factor

$$\frac{41}{2 ^ {2} \cdot 3 ^ {2}} = 1\frac{5}{36} = 1.1388888888888888$$