Convert Fraction to Percentage: Solving 0.2/100

Question

Convert the fraction into a percentage:

0.2100=? \frac{0.2}{100}=\text{?}

Video Solution

Solution Steps

00:00 Convert fractions to percentages
00:05 A fraction with a denominator equal to 100 equals the numerator in percentage form (X)
00:12 Apply this formula to our exercise
00:17 This is the solution

Step-by-Step Solution

The task is to convert the fraction 0.2100\frac{0.2}{100} into a percentage.

To convert a fraction to a percentage, we follow this process:

  • Step 1: Identify the numerator and the denominator. Here, the numerator is 0.20.2 and the denominator is 100100.
  • Step 2: Use the formula for percentage conversion: Percentage=(NumeratorDenominator)×100 \text{Percentage} = \left(\frac{\text{Numerator}}{\text{Denominator}}\right) \times 100 .
  • Step 3: Apply the values from the fraction: (0.2100)×100 \left(\frac{0.2}{100}\right) \times 100 .
  • Step 4: Calculate the result: 0.2×1=0.2 0.2 \times 1 = 0.2 .

The conversion of the given fraction to a percentage is 0.2%0.2\%. Therefore, the correct answer is \textbf{0.2\%}.

Answer

0.2%