Answer:
Option A: 0
Step-by-step explanation:
Given the multiplication of fractions, [tex]\huge\mathsf{\frac{1}{9} \:\times\frac{24}{25}}[/tex]:
Simply multiply the numerators (together), as well as the denominators.
In other words:
[tex]\huge\mathsf{\frac{1}{9} \:\times\frac{24}{25}\:=\frac{1\:\times\:24}{9\:\times\:25}\:=\:\frac{24}{225}}[/tex]
Since 24 and 225 do not have common multiples, then we cannot simplify the fraction into its lowest terms.
Next, in order to find out which is the closest value to the product, [tex]\huge\mathsf{\frac{24}{225}}[/tex], divide the numerator by the denominator, which gives you the following quotient:
[tex]\huge\mathsf{\frac{24}{225}\:=\:24\:\div\:225\:=\:0.1067}[/tex] or 0.11.
We must compare this quotient with the other options:
Option A) 0: This is a possible answer, since rounding 0.11 to the nearest ones (whole number) is 0.
Option B) 0.5: Unlikely a valid answer, since the digit on the hundreths place is 0.11, and rounding it up to the nearest tenths will become 0.1.
Option C) 1: Definitely not a valid answer, according to the explanations provided in Options A and B.
For Option D) [tex]\huge\mathsf{\frac{21}{20}}[/tex] , we need to find its equivalent decimal form by dividing its numerator by the denominator: [tex]\huge\mathsf{\frac{21}{20}\:=\:21\:\div\:20\:=\:1.05}[/tex]. Hence, it is also not a valid answer, according to the explanations provided in Options A and B.
Therefore, the closest value to [tex]\huge\mathsf{\frac{24}{225}\:=\:0.11}[/tex] is Option A) 0.
