Converting 43/200 to Percentage: Fraction Approximation Problem

Question

Approximately what is 43200 \frac{43}{200} written as a percentage?

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert the fraction 43200\frac{43}{200} to a percentage by multiplying it by 100.
  • Step 2: Calculate the value to obtain the percentage.
  • Step 3: Match the calculated percentage with the given multiple-choice options.

Now, let's work through each step:
Step 1: We start by multiplying the fraction by 100. This gives us:

(43200×100)%\left(\frac{43}{200} \times 100\right) \%

Step 2: Simplify the expression. First, calculate 43×100200\frac{43 \times 100}{200} .

4300200=21.5 \frac{4300}{200} = 21.5

Step 3: Since the question focuses on estimation, we recognize that 21.5% is approximately equal to 20%.

Therefore, the approximate percentage representation of the fraction 43200\frac{43}{200} is 20%.

Answer

20%