Convert the Fraction 71.8/100 to a Percentage: A Simple Math Problem

Q: Why don't I need to multiply by 100 here?

Great question! You only multiply by 100 when converting decimals to percentages. Since $ \frac{71.8}{100} $ already has 100 as the denominator, the numerator 71.8 is directly your percentage!

Q: What if the denominator wasn't 100?

Then you'd need to first convert to decimal by dividing, then multiply by 100. For example: $ \frac{3}{4} $ = 0.75 = 75%. But with denominator 100, skip these steps!

Q: Is 71.8% the same as saying 71.8 out of 100?

Exactly! That's what percentage means - parts per hundred. So 71.8% literally means 71.8 parts out of every 100 parts.

Q: Can I have a decimal in a percentage?

Absolutely! Percentages can be whole numbers, decimals, or even fractions. 71.8% is perfectly valid and means seventy-one point eight percent.

Q: How do I check if 71.8% is correct?

Convert it back to a fraction: 71.8% = $ \frac{71.8}{100} $. Since this matches our original fraction, we know 71.8% is correct!

Fraction-to-Percentage Conversion with Denominator 100

Convert the fraction $\frac{71.8}{100}$ to a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 Let's convert fractions into percentages.

00:11 To do this, change the denominator to one hundred.

00:16 The percentage is simply the numerator. Just call it 'X'.

00:21 Now, let's use this formula in our example.

00:26 And that's how we find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the fraction $\frac{71.8}{100}$ to a percentage:

Step-by-step solution

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

Step 1: Identify the fraction given as $\frac{71.8}{100}$ .
Step 2: Recognize that the denominator is 100, so the fraction $\frac{71.8}{100}$ represents 71.8%.
Step 3: Conclude by expressing it directly as a percentage.

Now, let's work through each step:
Step 1: The fraction given is $\frac{71.8}{100}$ .
Step 2: Since the denominator is 100, we can interpret the numerator directly as the percentage. Thus, $71.8$ out of 100 corresponds to 71.8%.
Step 3: Therefore, the solution to the problem is that $\frac{71.8}{100}$ as a percentage is 71.8%.

Therefore, the correct choice is choice 3: 71.8%.

Final Answer

71.8%

Key Points to Remember

Essential concepts to master this topic

Rule: When denominator is 100, numerator equals the percentage
Technique: $\frac{71.8}{100}$ = 71.8% directly without calculation
Check: 71.8% means 71.8 out of 100 parts ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point incorrectly
Don't move the decimal point when converting $\frac{71.8}{100}$ = getting 7.18% or 718%! The denominator is already 100, so no calculation needed. Always read the numerator directly as the percentage when denominator is 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 don't I need to multiply by 100 here?

Great question! You only multiply by 100 when converting decimals to percentages. Since $\frac{71.8}{100}$ already has 100 as the denominator, the numerator 71.8 is directly your percentage!

What if the denominator wasn't 100?

Then you'd need to first convert to decimal by dividing, then multiply by 100. For example: $\frac{3}{4}$ = 0.75 = 75%. But with denominator 100, skip these steps!

Is 71.8% the same as saying 71.8 out of 100?

Exactly! That's what percentage means - parts per hundred. So 71.8% literally means 71.8 parts out of every 100 parts.

Can I have a decimal in a percentage?

Absolutely! Percentages can be whole numbers, decimals, or even fractions. 71.8% is perfectly valid and means seventy-one point eight percent.

How do I check if 71.8% is correct?

Convert it back to a fraction: 71.8% = $\frac{71.8}{100}$ . Since this matches our original fraction, we know 71.8% is correct!

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