Converting 84% to Its Equivalent Decimal and Fraction Forms

The percentage 84% is equal to:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's change percentages into fractions step by step.
00:09 Remember, a percentage is like a fraction. The top number, or numerator, is the percentage value or X, and the bottom number, or denominator, is always one hundred.
00:20 Next, we'll use this idea in our example. Follow along as we transform the percentage into a fraction.
00:29 Let's factor eighty-four into twenty-one times four, and one hundred into twenty-five times four.
00:36 Now, reduce the fractions wherever you can.
00:40 And there you have it, your solution is complete!

Step-by-step written solution

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1

Understand the problem

The percentage 84% is equal to:

2

Step-by-step solution

To solve this problem effectively, follow these steps:

  • Step 1: Convert the percentage to a fraction.
    To express 84% as a fraction, write it as 84100\frac{84}{100} since percent means per hundred.
  • Step 2: Simplify the fraction.
    We need to simplify 84100\frac{84}{100} by finding the greatest common divisor (GCD) of 84 and 100. The GCD of 84 and 100 is 4.
  • Step 3: Divide both numerator and denominator by their GCD.
    Divide 84 by 4 to get 21, and divide 100 by 4 to get 25.
    Thus, 84100=2125\frac{84}{100} = \frac{21}{25}.
  • Step 4: Identify the correct choice.
    Among the provided options, 2125\frac{21}{25} corresponds to choice 2.

Thus, the percentage 84% is equal to 2125\frac{21}{25}.

3

Final Answer

2125 \frac{21}{25}

Practice Quiz

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Convert the fraction into a percentage:

\( \frac{2}{100}=\text{?} \)

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