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

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

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

• Step 1: Identify the given fraction, which is $\frac{49}{80}$.
• Step 2: Use the conversion formula for fractions to percentages:
  $\text{Percentage} = \left(\frac{\text{Numerator}}{\text{Denominator}}\right) \times 100 = \left(\frac{49}{80}\right) \times 100$
• Step 3: Calculate the multiplication:
  $\frac{49}{80} = 0.6125$
• Step 4: Multiply by 100 to convert to a percentage:
  $0.6125 \times 100 = 61.25$
• 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 $\frac{49}{80}$ is 60%, which corresponds to choice 4.