Calculate Fraction to Percentage: Converting 5/40 to Percent Form

Q: Can I simplify the fraction first before converting?

Yes! You can simplify $ \frac{5}{40} $ to $ \frac{1}{8} $ first. Then $ \frac{1}{8} = 0.125 = 12.5\% $. Both methods give the same answer!

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

Because percent means "per hundred"! When you multiply a decimal by 100, you're converting it to parts per hundred. For example, 0.125 × 100 = 12.5 parts per hundred = 12.5%.

Q: What if my fraction doesn't divide evenly?

That's okay! Some fractions give repeating decimals. Just round to a reasonable number of decimal places (usually 1-2) for your final percentage answer.

Q: Is there a faster way than long division?

Yes! Look for equivalent fractions with friendly denominators. $ \frac{5}{40} = \frac{1}{8} $, and you might know that $ \frac{1}{8} = 0.125 $ from memory!

Fraction to Percentage with Decimal Conversion

Calculate 5 over 40 as a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate 5 as a percentage of 40

00:03 Apply the formula to calculate percentages

00:12 Divide the number by the second number and proceed to multiply by 100

00:22 Break down into factors and reduce wherever possible

00:45 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 5 over 40 as a percentage:

Step-by-step solution

To solve the problem of calculating 5 over 40 as a percentage, follow these steps:

Step 1: Identify the fraction component.
We have the part as 5 and the whole as 40, so the fraction is $\frac{5}{40}$ .
Step 2: Convert the fraction to a decimal.
Divide the numerator by the denominator: $\frac{5}{40} = 0.125$ .
Step 3: Convert the decimal to a percentage.
Multiply the decimal by 100 to find the percentage: $0.125 \times 100 = 12.5$ .

Therefore, 5 over 40 as a percentage is 12.5%.

Final Answer

12.5%

Key Points to Remember

Essential concepts to master this topic

Rule: Divide numerator by denominator to get decimal form
Technique: Convert $\frac{5}{40} = 0.125$ then multiply by 100
Check: Verify 12.5% = 0.125 = $\frac{5}{40}$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply decimal by 100
Don't stop at the decimal 0.125 = wrong answer! This gives you the decimal form, not the percentage. Always multiply the decimal by 100 to convert to percentage form.

Practice Quiz

Test your knowledge with interactive questions

Calculate 30 over 100 as a percentage:

FAQ

Everything you need to know about this question

Can I simplify the fraction first before converting?

Yes! You can simplify $\frac{5}{40}$ to $\frac{1}{8}$ first. Then $\frac{1}{8} = 0.125 = 12.5\%$ . Both methods give the same answer!

Why do I multiply by 100 to get a percentage?

Because percent means "per hundred"! When you multiply a decimal by 100, you're converting it to parts per hundred. For example, 0.125 × 100 = 12.5 parts per hundred = 12.5%.

What if my fraction doesn't divide evenly?

That's okay! Some fractions give repeating decimals. Just round to a reasonable number of decimal places (usually 1-2) for your final percentage answer.

How can I check if 12.5% is correct?

Convert back! Take 12.5% ÷ 100 = 0.125, then check: 0.125 × 40 = 5. Since we get our original numerator, the answer is correct!

Is there a faster way than long division?

Yes! Look for equivalent fractions with friendly denominators. $\frac{5}{40} = \frac{1}{8}$ , and you might know that $\frac{1}{8} = 0.125$ from memory!

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