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Answer :
Final answer:
The proportion that could be used to express 18/20 is 18/20 = X/100.
Explanation:
The proportion that could be used to express 18/20 is 18/20 = X/100. This proportion states that 18 is to 20 as X is to 100.
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2: [tex]\frac{18}{20} = \frac{90}{100}[/tex] proportion could be used to express 18/20.
To express the fraction [tex]\frac{18}{20}[/tex] as a proportion with a denominator of 100, we should look for a proportion where [tex]\frac{18}{20}[/tex] is equal to [tex]\frac{X}{100}[/tex].
We can solve for X using cross-multiplication. Here's the step-by-step process:
- Start with the proportion: [tex]\frac{18}{20} = \frac{X}{100}[/tex]
- Cross-multiply: [tex]18 imes 100 = 20 imes X[/tex]
- Simplify: [tex]1800 = 20X[/tex]
- Divide both sides by 20: [tex]X = \frac{1800}{20}[/tex]
- Simplify the fraction: [tex]X = 90[/tex]
So, the correct option is Option 2: [tex]\frac{18}{20} = \frac{90}{100}[/tex].
This shows that [tex]\frac{18}{20}[/tex] is equivalent to 90% when expressed with a denominator of 100.
