Converting 43/200 to Percentage: Fraction Approximation Problem

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

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert approximately to percentages
00:03 Let's convert to the closest fraction we can change to percentages
00:16 Let's break down 200 into factors 40 and 5
00:23 Let's convert to the closest fraction we can change to percentages:
00:26 This is the simple fraction, now let's convert to percentages
00:33 Let's multiply the entire fraction by 100, and calculate the quotient
00:36 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

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

2

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%.

3

Final Answer

20%

Practice Quiz

Test your knowledge with interactive questions

Approximately what is \( \frac{1}{9} \) as a percentage?

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Percentage questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations