Convert Fraction to Percentage: Solving 42.3/100

Q: Why does multiplying by 100 work for any fraction?

Percentage means "per hundred" - so multiplying by 100 converts any decimal or fraction into "how many per 100." It's like asking "out of 100 parts, how many do I have?"

Q: What if the denominator isn't 100?

The same rule applies! For $ \frac{3}{4} $, multiply by 100: $ \frac{3}{4} \times 100 = 75\% $. The denominator doesn't need to be 100.

Q: Can I just move the decimal point instead?

Only when the denominator is 100! For $ \frac{42.3}{100} $, moving the decimal two places right gives 42.3%. But this shortcut only works with denominators of 100.

Q: How do I know if 42.3% makes sense?

Think logically: $ \frac{42.3}{100} $ means "42.3 parts out of 100 total parts." So 42.3% is reasonable - it's less than half (50%).

Fraction to Percentage with Decimal Numerators

Convert the fraction into a percentage:

$\frac{42.3}{100}=\text{?}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:08 Let's learn how to convert fractions into percentages.

00:13 When the fraction has a denominator of one hundred, the numerator becomes the percentage.

00:20 Now, let's apply this formula to our exercise.

00:29 And here's how we solve this problem. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the fraction into a percentage:

$\frac{42.3}{100}=\text{?}$

Step-by-step solution

To convert a fraction to a percentage, follow these steps:

Identify the fraction given: $\frac{42.3}{100}$ .
Multiply the fraction by 100 to convert it to a percentage.
$\frac{42.3}{100} \times 100 = 42.3$ .

Therefore, $\frac{42.3}{100}$ as a percentage is 42.3%.

The correct multiple-choice answer is $42.3\%$ , corresponding to choice 2.

Final Answer

42.3%

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply any fraction by 100 to convert to percentage
Technique: $\frac{42.3}{100} \times 100 = 42.3\%$ cancels denominators perfectly
Check: Verify 42.3% = 0.423 as decimal matches original fraction ✓

Common Mistakes

Avoid these frequent errors

Adding 100 instead of multiplying by 100
Don't add 100 to the fraction like 42.3/100 + 100 = 142.3%! This creates a completely wrong percentage far from reality. Always multiply the entire fraction by 100 to convert properly.

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 does multiplying by 100 work for any fraction?

Percentage means "per hundred" - so multiplying by 100 converts any decimal or fraction into "how many per 100." It's like asking "out of 100 parts, how many do I have?"

What if the denominator isn't 100?

The same rule applies! For $\frac{3}{4}$ , multiply by 100: $\frac{3}{4} \times 100 = 75\%$ . The denominator doesn't need to be 100.

Can I just move the decimal point instead?

Only when the denominator is 100! For $\frac{42.3}{100}$ , moving the decimal two places right gives 42.3%. But this shortcut only works with denominators of 100.

How do I know if 42.3% makes sense?

Think logically: $\frac{42.3}{100}$ means "42.3 parts out of 100 total parts." So 42.3% is reasonable - it's less than half (50%).

What if I get confused with the decimal?

Remember: the decimal 42.3 stays exactly the same! You're just changing from $\frac{42.3}{100}$ to 42.3% - same number, different notation.

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