Convert Fraction to Percentage: Solving 3.3/10 Step-by-Step

Q: Why can't I just convert 3.3 directly to a percentage?

Because 3.3 is not the whole value - it's 3.3 out of 10! You must consider the denominator. $ \frac{3.3}{10} $ means 3.3 parts out of 10 total, which is much larger than 3.3 out of 100.

Q: How do I know what to multiply by to get 100 in the denominator?

Divide 100 by your current denominator! Since we have 10 in the denominator, 100 ÷ 10 = 10. So multiply both numerator and denominator by 10.

Q: Is 33% the same as 0.33 as a decimal?

Yes! Both represent the same value. 33% = 0.33 = $ \frac{33}{100} $. These are just different ways to express the same amount.

Fraction to Percentage with Decimal Numerators

Convert the fraction $\frac{3.3}{10}$ into a percentage.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's change fractions into percentages.

00:10 To do this, make the bottom number, or denominator, 100.

00:15 Whatever number is on top is your percentage.

00:20 Now, let's use this in an example.

00:25 Multiply both the top and bottom by 10 to get the bottom to 100.

00:30 Let's calculate and find the answer.

00:45 And there you have it! That's our solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the fraction $\frac{3.3}{10}$ into a percentage.

Step-by-step solution

When we have a fraction whose denominator is not 100, we will have to convert it to 100

That is:

$10\times10=100$

Now we also multiply the numerator by 10:

$\frac{3.3\times10}{10\times10}=\frac{33}{100}$

Now we use the formula:

$\frac{x}{100}=x\%$

$\frac{33}{100}=33\%$

Final Answer

33%

Key Points to Remember

Essential concepts to master this topic

Rule: Convert fractions to denominator 100 for percentage conversion
Technique: Multiply both numerator and denominator: $\frac{3.3 \times 10}{10 \times 10} = \frac{33}{100}$
Check: Verify 33% equals original fraction: $\frac{33}{100} = 0.33 = \frac{3.3}{10}$ ✓

Common Mistakes

Avoid these frequent errors

Converting decimal numerator incorrectly to percentage
Don't just move the decimal point and add % = 3.3%! This ignores the denominator completely and gives the wrong result. Always convert the entire fraction to have denominator 100 first, then apply percentage conversion.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction $\frac{75}{100}$

to a percentage:

FAQ

Everything you need to know about this question

Why can't I just convert 3.3 directly to a percentage?

Because 3.3 is not the whole value - it's 3.3 out of 10! You must consider the denominator. $\frac{3.3}{10}$ means 3.3 parts out of 10 total, which is much larger than 3.3 out of 100.

How do I know what to multiply by to get 100 in the denominator?

Divide 100 by your current denominator! Since we have 10 in the denominator, 100 ÷ 10 = 10. So multiply both numerator and denominator by 10.

What if my denominator doesn't divide evenly into 100?

No problem! You can still convert to a percentage. For example, $\frac{2}{7}$ becomes $\frac{2 \times 100}{7 \times 100} = \frac{200}{700}$ , then divide: 200 ÷ 7 ≈ 28.57%

Is 33% the same as 0.33 as a decimal?

Yes! Both represent the same value. 33% = 0.33 = $\frac{33}{100}$ . These are just different ways to express the same amount.

Can I check my answer using division?

Absolutely! Divide the numerator by denominator: 3.3 ÷ 10 = 0.33. Then convert to percentage: 0.33 × 100% = 33%. This confirms our answer!

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