Calculate Player's Goal Percentage: Converting 5/24 to Percentage

Fraction to Percentage with Real-World Applications

Miranda scored 5 goals out of 24 scored by her team.

What approximate percentage of her team's goals did Miranda score?

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Miranda scored 5 goals out of 24 scored by her team.

What approximate percentage of her team's goals did Miranda score?

2

Step-by-step solution

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

  • Step 1: Identify the given information.
  • Step 2: Apply the appropriate formula to find the percentage.
  • Step 3: Perform the necessary calculations to find Miranda's percentage contribution.

Now, let's work through each step:

Step 1: The problem tells us that Miranda scored 5 goals, and the team scored a total of 24 goals.

Step 2: We'll use the formula for finding the percentage:
Percentage=(Number of goals scored by MirandaTotal number of goals scored by the team)×100%\text{Percentage} = \left(\frac{\text{Number of goals scored by Miranda}}{\text{Total number of goals scored by the team}}\right) \times 100\%
Substitute the numbers we have:
Percentage=(524)×100%\text{Percentage} = \left(\frac{5}{24}\right) \times 100\%

Step 3: Perform the calculation:
Percentage=(524)×10020.83%\text{Percentage} = \left(\frac{5}{24} \right) \times 100 \approx 20.83\% So, Miranda scored approximately 20% of her team's goals.

Therefore, the solution to the problem is 20% \text{20\%} , which matches choice 2.

3

Final Answer

20%

Key Points to Remember

Essential concepts to master this topic
  • Formula: Percentage = (Part ÷ Whole) × 100%
  • Technique: Calculate 524×100=20.83% \frac{5}{24} \times 100 = 20.83\%
  • Check: 20% of 24 goals = 4.8 ≈ 5 goals ✓

Common Mistakes

Avoid these frequent errors
  • Confusing which number goes in numerator vs denominator
    Don't put total goals (24) over Miranda's goals (5) = 480%! This makes no sense since one player can't score more than 100% of team goals. Always put the part (Miranda's goals) over the whole (team's goals).

Practice Quiz

Test your knowledge with interactive questions

Approximately what is \( \frac{6}{25} \) as a percentage?

FAQ

Everything you need to know about this question

Why do we multiply by 100 when finding percentages?

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Percent means "per hundred"! When we calculate 524=0.208... \frac{5}{24} = 0.208... , this is a decimal. Multiplying by 100 converts it to percentage form: 20.8%.

Should I round 20.83% or keep it exact?

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Since the question asks for approximate percentage, rounding to the nearest whole number (21%) or the closest answer choice (20%) is appropriate. Always check what level of precision is requested!

How do I know which number is the 'part' and which is the 'whole'?

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The part is what you're measuring (Miranda's 5 goals), and the whole is the total amount (team's 24 goals). Think: "5 out of 24" means 5 is part of the larger group of 24.

What if I get a percentage over 100%?

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In this type of problem, percentages over 100% usually indicate an error! One player cannot score more than 100% of the team's goals. Double-check that you have the fraction the right way up.

Can I use a calculator for this?

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Absolutely! Calculate 5÷24=0.208... 5 \div 24 = 0.208... , then multiply by 100. Some calculators even have a percentage button to do this automatically.

Why is the answer 20% and not 21%?

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While 20.83% is closer to 21%, we choose 20% because it's the available answer choice. In multiple choice questions, pick the closest option to your calculated result.

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