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Discussions MK  ASVAB: Simplifying Fraction to Decimal to Percentages

Which of these is the same as [imath]\frac{11}{20}[/imath]?

A) [imath]\frac{3}{4}[/imath]
B) [imath]45\%[/imath]
C) [imath]\frac{4}{7}[/imath]
D) [imath]55\%[/imath]


Explanations Below

Step 1: Convert the fraction to a decimal or percent

To convert [imath]\frac{11}{20}[/imath] to a percent:

[imath]\frac{11}{20} = 0.55 = 55\%[/imath]


Step 2: Identify the matching answer
Only option D is [imath]55\%[/imath], which matches [imath]\frac{11}{20}[/imath].


Final Answer: D) [imath]55\%[/imath]
 
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Wait! What if the answer was a fraction? Check out this scenario.
So let's say the problem wanted to do simplify this instead.
[imath]\frac{22}{40}[/imath]
  1. Write the fraction: [imath]\frac{22}{40}[/imath]
  2. Find the greatest common factor (GCF) of 22 and 40.
     [imath]22=2\cdot 11,\quad 40=2\cdot 20[/imath] so the GCF is [imath]2[/imath].
  3. Divide numerator and denominator by the GCF:
     [imath]\frac{22\div 2}{40\div 2}=\frac{11}{20}[/imath]
  4. Check if it can be reduced further.
     [imath]11[/imath] is prime and does not divide [imath]20[/imath], so [imath]\frac{11}{20}[/imath] is in simplest form.

So the answer for this scenario would be. [imath]\frac{11}{20}[/imath]
 
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