Answer:
[tex]\LARGE\mathsf{\frac{22}{100}}[/tex] , 0.22
Step-by-step explanation:
Correct Options:
22% can be expressed in different ways:
Fraction Form: [tex]\LARGE\mathsf{\frac{22}{100}}[/tex]
Decimal Form:
Fraction from to decimal form: Divide the numerator by the denominator: ⇒ 22 ÷ 100 = 0.22
Percentage to decimal: Move the decimal point two places to the left, which results in: 0.22.
Incorrect options:
[tex]\LARGE\mathsf{\frac{100}{22}}[/tex], [tex]\LARGE\mathsf{\frac{1}{22}}[/tex], [tex]\LARGE\mathsf{\frac{22}{1}}[/tex], and 22.0.
- [tex]\LARGE\mathsf{\frac{100}{22}}[/tex] is incorrect because if you divide the numerator by the denominator, it results in a quotient of: [tex]\LARGE\mathsf{\frac{100}{22}\:=4.\overline{54}}[/tex]. Obviously, it is not the same as 22% or 0.22.
- [tex]\LARGE\mathsf{\frac{1}{22}}[/tex] is also incorrect because if you divide the numerator by the denominator, it results in a quotient of: [tex]\LARGE\mathsf{\frac{1}{22}\:=\:0.\overline{45}}[/tex].
- 22.0 and [tex]\LARGE\mathsf{\frac{22}{1}}[/tex] are both incorrect because they represent whole numbers. [tex]\LARGE\mathsf{\frac{22}{1}\:=\:22.0\:=\:22}[/tex].
- In contrast, 0.22 is simply a portion out of a whole. Converting these decimal expressions to percentage:
22.0 × 100% = 2,200%
0.22 × 100% = 22%
Therefore, the correct answers are: [tex]\LARGE\mathsf{\frac{22}{100}}[/tex] and 0.22.
