High School

Which proportion could be used to express [tex] \frac{18}{20} [/tex]?

Option 1: [tex] \frac{18}{30} = \frac{X}{100} [/tex]

Option 2: [tex] \frac{18}{20} = \frac{X}{100} [/tex]

Option 3: [tex] \frac{20}{18} = \frac{X}{100} [/tex]

Option 4: [tex] \frac{20}{38} = \frac{X}{100} [/tex]

Answer :

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:

  1. Start with the proportion: [tex]\frac{18}{20} = \frac{X}{100}[/tex]
  2. Cross-multiply: [tex]18 imes 100 = 20 imes X[/tex]
  3. Simplify: [tex]1800 = 20X[/tex]
  4. Divide both sides by 20: [tex]X = \frac{1800}{20}[/tex]
  5. 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.

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.

Learn more about Proportions here:

https://brainly.com/question/34018947

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