Converting 50% to Its Equivalent Decimal Form: Basic Mathematics

The percentage 50% is equal to:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert from percentages to fractions
00:05 The percentage equals a fraction where the numerator is the percentage (X) and the denominator is 100
00:10 Apply this formula to our exercise
00:24 Break down 100 into factors of 50 and 2
00:31 Reduce wherever possible
00:36 This is the solution

Step-by-step written solution

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1

Understand the problem

The percentage 50% is equal to:

2

Step-by-step solution

Let's solve this problem by converting the given percentage into a fraction:

To convert 50% into a fraction, we follow these steps:

  • Step 1: Recognize that a percentage is simply a way of expressing a number as parts out of 100. So, 50% is equivalent to 50100 \frac{50}{100} .
  • Step 2: Simplify the fraction 50100\frac{50}{100}. The greatest common divisor (GCD) of 50 and 100 is 50. Thus, we divide both the numerator and denominator by 50.
  • Step 3: Simplifying, we have:
50100=50÷50100÷50=12 \frac{50}{100} = \frac{50 \div 50}{100 \div 50} = \frac{1}{2}

Thus, the percentage 50% is equal to the fraction 12 \frac{1}{2} .

3

Final Answer

12 \frac{1}{2}

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

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

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