Convert Fraction 4.5/10 to Percentage: Step-by-Step Solution

Q: Why do I multiply by 100 to get a percentage?

Percentage means "per hundred"! When you multiply a fraction by 100, you're finding how many parts out of 100 it represents. So $ \frac{4.5}{10} \times 100 $ tells us how many parts out of 100.

Q: Can I simplify the fraction first before converting?

You can, but it's not necessary! $ \frac{4.5}{10} $ already works perfectly for the calculation. Whether you use $ \frac{4.5}{10} $ or $ \frac{9}{20} $, you'll get 45% either way.

Q: What if the decimal has more places, like 4.55?

The same method works! $ \frac{4.55}{10} \times 100 = 45.5\% $. Just multiply by 100 and add the percentage symbol. Keep all decimal places in your calculation.

Q: How do I check if 45% is correct?

Convert back to decimal: 45% = 0.45. Then check: $ 0.45 \times 10 = 4.5 $ ✓. Since this equals our original numerator, we know 45% is right!

Q: Why isn't the answer 4.5%?

That would be if you forgot to do the calculation! $ \frac{4.5}{10} $ doesn't equal 4.5% - you must multiply by 100 to convert to percentage form. 4.5% would be $ \frac{4.5}{100} $.

Fraction to Percentage with Decimal Numerators

Convert the fraction $\frac{4.5}{10}$ to a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert fractions to percentages

00:05 To convert a fraction to a percentage, the denominator needs to be 100

00:10 The percentage is the numerator (X)

00:15 Apply this formula to our exercise

00:20 Multiply both the numerator and denominator by 10 to obtain a denominator equal to 100

00:26 Proceed to calculate

00:41 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the fraction $\frac{4.5}{10}$ to a percentage:

Step-by-step solution

To solve this problem, we will convert the fraction $\frac{4.5}{10}$ into a percentage.

The method involves two main steps:

Step 1: Multiply the fraction by 100 to convert it to a percentage.
Step 2: Express the result as a percentage.

Now, let's work through each step:

Step 1: The given fraction is $\frac{4.5}{10}$ . We use the formula for percentage conversion: $\text{Percentage} = \frac{4.5}{10} \times 100\%$ .

Step 2: Calculating, $\frac{4.5}{10} \times 100 = 45$ .

Therefore, the percentage equivalent of $\frac{4.5}{10}$ is 45%.

Based on the given multiple-choice options, the correct answer is: 45%.

Final Answer

45%

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply any fraction by 100 to convert to percentage
Technique: $\frac{4.5}{10} \times 100 = 45$ gives 45%
Check: Verify 45% = 0.45, and 0.45 × 10 = 4.5 ✓

Common Mistakes

Avoid these frequent errors

Converting decimal numerator incorrectly
Don't treat 4.5 as just 4 or round it = wrong percentage! This ignores the decimal part and gives answers like 40% instead of 45%. Always keep the full decimal value when multiplying by 100.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{2}{100}=\text{?}$

FAQ

Everything you need to know about this question

Why do I multiply by 100 to get a percentage?

Percentage means "per hundred"! When you multiply a fraction by 100, you're finding how many parts out of 100 it represents. So $\frac{4.5}{10} \times 100$ tells us how many parts out of 100.

Can I simplify the fraction first before converting?

You can, but it's not necessary! $\frac{4.5}{10}$ already works perfectly for the calculation. Whether you use $\frac{4.5}{10}$ or $\frac{9}{20}$ , you'll get 45% either way.

What if the decimal has more places, like 4.55?

The same method works! $\frac{4.55}{10} \times 100 = 45.5\%$ . Just multiply by 100 and add the percentage symbol. Keep all decimal places in your calculation.

How do I check if 45% is correct?

Convert back to decimal: 45% = 0.45. Then check: $0.45 \times 10 = 4.5$ ✓. Since this equals our original numerator, we know 45% is right!

Why isn't the answer 4.5%?

That would be if you forgot to do the calculation! $\frac{4.5}{10}$ doesn't equal 4.5% - you must multiply by 100 to convert to percentage form. 4.5% would be $\frac{4.5}{100}$ .

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