Calculate the Fraction 2 over 50 as a Percentage: Step-by-Step Solution

Question

Calculate 2 over 50 as a percentage:

Video Solution

Solution Steps

00:00 Calculate 2 as a percentage of 50
00:03 Apply the formula for calculating percentages
00:08 Divide the number by the second number and proceed to multiply by 100
00:17 Break down into factors and reduce wherever possible
00:26 This is the solution

Step-by-Step Solution

To solve the problem of converting 250\frac{2}{50} to a percentage, we will follow these steps:

  • Step 1: Identify the 'part' and the 'whole' from the given fraction. Here, the 'part' is 2, and the 'whole' is 50.
  • Step 2: Apply the formula to convert the fraction to a percentage: PartWhole×100%\frac{\text{Part}}{\text{Whole}} \times 100\%.
  • Step 3: Perform the calculation by substituting the given values into the formula.

Now, let's work through each step:

Step 1: From the fraction 250\frac{2}{50}, we identify 2 as the 'part' and 50 as the 'whole'.

Step 2: We'll use the formula PartWhole×100%\frac{\text{Part}}{\text{Whole}} \times 100\% to find the percentage:

Step 3: Substituting the values into the formula, we have:

250×100%=(250)×100=20050=4% \frac{2}{50} \times 100\% = \left(\frac{2}{50}\right) \times 100 = \frac{200}{50} = 4\%

Therefore, the fraction 2 over 50 as a percentage is 4%.

Answer

4%