For this case we have the following fractions:
[tex]\frac {24} {45}\\\frac {8} {15}\\\frac {48} {90}\\\frac {5} {9}[/tex]
We simplify each of the options:
Option A: [tex]\frac {24} {45} =[/tex]
We divide between 3 numerator and denominator:
[tex]\frac {8} {15} = 0.5333[/tex] (Periodic number)
Option B:[tex]\frac {8} {15} = 0.5333[/tex] (Periodic number)
Option C: [tex]\frac {48} {90}[/tex]
We divide by 6 numerator and denominator:
[tex]\frac {8} {15} = 0.5333[/tex](Periodic number)
Option D: [tex]\frac {5} {9} = 0.5[/tex] (Periodic number)
Answer:
Option A: 0.53 (Periodic number)
Option B: 0.53 (Periodic Number)
Option C: 0.53 (Periodic Number)
Option D: 0.5 (Periodic number)
