Convert Fraction to Percentage: Finding the Value of 49/80

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

Because percentage means 'per hundred'! When you multiply a decimal by 100, you're showing how many parts out of 100. For example, 0.6125 becomes 61.25 parts out of 100.

Q: How do I know when to round my answer?

Look for clue words like 'approximately' in the question. When asked for an approximate answer, round to the nearest whole number or whatever precision the answer choices suggest.

Q: Can I convert fractions to percentages without decimals?

Yes! You can multiply the fraction directly: $ \frac{49}{80} \times 100 = \frac{4900}{80} = 61.25 $. Both methods work perfectly!

Q: What if my calculator shows many decimal places?

That's normal! For $ \frac{49}{80} $, you get exactly 0.6125, which is 61.25%. Round according to what the question asks for.

Q: How do I check if 60% is close enough to 61.25%?

Since the question asks for an approximate answer, 60% is the closest whole number to 61.25%. The difference is only 1.25%, which is reasonable for an approximation.

Fraction to Percentage with Rounding

Approximately what is $\frac{49}{80}$ written as a percentage?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to percentages

00:04 Convert to the closest fraction that we can convert to percentages

00:17 Break down 48 into factors 8 and 6, and 80 into factors 8 and 10

00:24 Reduce what we can

00:29 This is the simple fraction, now let's convert to percentages

00:35 Multiply the fraction by 100

00:42 Break down 100 into factors 10 and 10

00:45 Reduce what we can

00:49 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Approximately what is $\frac{49}{80}$ written as a percentage?

Step-by-step solution

To convert the fraction $\frac{49}{80}$ to a percentage, follow these steps:

Step 1: Identify the given fraction, which is $\frac{49}{80}$ .
Step 2: Use the conversion formula for fractions to percentages:
$\text{Percentage} = \left(\frac{\text{Numerator}}{\text{Denominator}}\right) \times 100 = \left(\frac{49}{80}\right) \times 100$
Step 3: Calculate the multiplication:
$\frac{49}{80} = 0.6125$
Step 4: Multiply by 100 to convert to a percentage:
$0.6125 \times 100 = 61.25$
Step 5: Approximate the percentage: Since the problem asks for an approximate answer, we round 61.25 to the nearest whole number, resulting in 60%.

Therefore, the approximate percentage representation of $\frac{49}{80}$ is 60%, which corresponds to choice 4.

Final Answer

60%

Key Points to Remember

Essential concepts to master this topic

Formula: Multiply fraction by 100 to convert to percentage
Technique: $\frac{49}{80} = 0.6125 \times 100 = 61.25\%$
Check: Verify by converting back: 61.25% ÷ 100 = 0.6125 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100 after converting to decimal
Don't just divide 49 by 80 and call it 0.6125% = wrong answer! This gives a percentage that's 100 times too small. Always multiply your decimal result by 100 to get the true percentage.

Practice Quiz

Test your knowledge with interactive questions

Approximately what is $\frac{11}{50}$ written as a percentage?

FAQ

Everything you need to know about this question

Why do I multiply by 100 to get a percentage?

Because percentage means 'per hundred'! When you multiply a decimal by 100, you're showing how many parts out of 100. For example, 0.6125 becomes 61.25 parts out of 100.

How do I know when to round my answer?

Look for clue words like 'approximately' in the question. When asked for an approximate answer, round to the nearest whole number or whatever precision the answer choices suggest.

Can I convert fractions to percentages without decimals?

Yes! You can multiply the fraction directly: $\frac{49}{80} \times 100 = \frac{4900}{80} = 61.25$ . Both methods work perfectly!

What if my calculator shows many decimal places?

That's normal! For $\frac{49}{80}$ , you get exactly 0.6125, which is 61.25%. Round according to what the question asks for.

How do I check if 60% is close enough to 61.25%?

Since the question asks for an approximate answer, 60% is the closest whole number to 61.25%. The difference is only 1.25%, which is reasonable for an approximation.

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