Convert Fraction to Percentage: Finding the Value of 9/19

Question

Write the fraction 919 \frac{9}{19} as a percentage

Video Solution

Solution Steps

00:00 Convert fractions to percentages
00:05 Multiply the fraction by 100 in order to convert to a percentage
00:12 Move the multiplication to the numerator
00:22 This is the solution

Step-by-Step Solution

To solve the problem of converting the fraction 919 \frac{9}{19} to a percentage, follow these steps:

  • Step 1: Identify the fraction given, which is 919 \frac{9}{19} .
  • Step 2: Use the conversion formula Percentage=(919)×100 \text{Percentage} = \left(\frac{9}{19}\right) \times 100 .
  • Step 3: Perform the calculation:

9190.4737 \frac{9}{19} \approx 0.4737 (rounded to four decimal places).

Step 4: Multiply by 100 to get the percentage:

0.4737×100=47.37% 0.4737 \times 100 = 47.37 \%

Therefore, the fraction 919 \frac{9}{19} as a percentage is approximately 47.37%.

Among the given choices, the closest correct answer is choice 2: 47.36% (rounded appropriately to two decimal places).

Answer

47.36%