Convert Fraction to Percentage: Finding the Value of 49/80

Question

Approximately what is 4980 \frac{49}{80} written as a percentage?

Video Solution

Step-by-Step Solution

To convert the fraction 4980 \frac{49}{80} to a percentage, follow these steps:

  • Step 1: Identify the given fraction, which is 4980 \frac{49}{80} .
  • Step 2: Use the conversion formula for fractions to percentages:
    Percentage=(NumeratorDenominator)×100=(4980)×100 \text{Percentage} = \left(\frac{\text{Numerator}}{\text{Denominator}}\right) \times 100 = \left(\frac{49}{80}\right) \times 100
  • Step 3: Calculate the multiplication:
    4980=0.6125 \frac{49}{80} = 0.6125
  • Step 4: Multiply by 100 to convert to a percentage:
    0.6125×100=61.25 0.6125 \times 100 = 61.25
  • Step 5: Approximate the percentage: Since the problem asks for an approximate answer, we round 61.25 to the nearest whole number, resulting in 60%.

Therefore, the approximate percentage representation of 4980 \frac{49}{80} is 60%, which corresponds to choice 4.

Answer

60%