Calculate the Percentage of 4.5 Over 90: Conversion Challenge

Percentage Calculations with Decimal Numerators

Calculate 4.5 over 90 as a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's find out what 4.5 is as a percentage of 90.
00:09 We'll use the formula to calculate percentages.
00:16 First, divide 4.5 by 90. Then, multiply the result by 100.
00:28 Try to simplify by breaking down into factors and reducing.
00:47 And that's how we find the solution. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Calculate 4.5 over 90 as a percentage:

2

Step-by-step solution

To solve the problem of calculating what percentage 4.5 is of 90, we will employ the percentage formula:

Step 1: Identify the given numbers. We have 4.5 4.5 as the part and 90 90 as the whole.

Step 2: Apply the formula for percentage:\
\text{Percentage} = \left( \frac{\text{part}}{\text{whole}} \times 100 \right)\%

Step 3: Insert the given values into the formula:
\( \text{Percentage} = \left( \frac{4.5}{90} \times 100 \right)\%

Step 4: Calculate the fraction 4.590 \frac{4.5}{90} :
4.590=0.05 \frac{4.5}{90} = 0.05

Step 5: Convert the fraction to a percentage by multiplying by 100:
0.05×100=5 0.05 \times 100 = 5

Therefore, 4.5 is 5% of 90, which corresponds to choice id="1".

Thus, the solution to the problem is that 4.5 over 90 as a percentage is 5%.

3

Final Answer

5%

Key Points to Remember

Essential concepts to master this topic
  • Formula: Percentage = (part ÷ whole) × 100
  • Technique: Divide 4.5 ÷ 90 = 0.05, then multiply by 100
  • Check: Verify 5% of 90 equals 4.5: 0.05 × 90 = 4.5 ✓

Common Mistakes

Avoid these frequent errors
  • Confusing which number is the part vs. the whole
    Don't calculate 90 ÷ 4.5 = 20 × 100 = 2000%! This treats the smaller number as the whole, giving an impossible percentage over 100%. Always put the part (4.5) in the numerator and the whole (90) in the denominator.

Practice Quiz

Test your knowledge with interactive questions

Calculate 15% of 100:

FAQ

Everything you need to know about this question

Why isn't the answer 4.5%?

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It's tempting to think the percentage equals the numerator, but that's not how percentages work! 4.5% would mean 4.5 out of 100, not 4.5 out of 90. Always use the formula: (part ÷ whole) × 100.

How do I know which number goes on top?

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The part (what you're finding the percentage of) goes on top, and the whole (what it's out of) goes on bottom. Here, we want to know what percentage 4.5 is of 90, so 4.5 is the part.

Can I simplify the fraction first?

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Yes! 4.590 \frac{4.5}{90} simplifies to 120 \frac{1}{20} by dividing both by 4.5. Then 120×100=5% \frac{1}{20} × 100 = 5\% . This can make the calculation easier!

What if I get a decimal percentage?

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That's completely normal! Many percentage problems result in decimals like 3.75% or 12.5%. Just make sure to round appropriately if the problem asks for it.

How can I check my answer makes sense?

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Ask yourself: "Is 4.5 about 5% of 90?" Since 5% means 5 out of 100, and 90 is close to 100, we'd expect about 4.5. Our answer of 5% checks out!

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