Convert Fraction to Percentage: Calculate 5/80 as a Percentage

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

Percentages mean 'per hundred' - so 6.25% literally means 6.25 out of 100. When you divide $ \frac{5}{80} $, you get the decimal 0.0625, which represents the same proportion but needs to be expressed 'per 100' to become a percentage.

Q: Can I simplify the fraction before converting?

Yes! $ \frac{5}{80} $ simplifies to $ \frac{1}{16} $. Then 1 ÷ 16 = 0.0625, and 0.0625 × 100 = 6.25%. Both methods give the same answer!

Q: What if I get a repeating decimal when I divide?

That's normal! For example, $ \frac{1}{3} $ = 0.333... which becomes 33.33...%. You can round to a reasonable number of decimal places or leave it as a fraction like 33⅓%.

Q: Is there a shortcut for converting fractions to percentages?

Denominator of 100: The numerator is already the percentageDenominator of 50: Multiply numerator by 2Denominator of 25: Multiply numerator by 4Other denominators: Use the standard division and multiply by 100 method

Fraction to Percentage with Decimal Conversion

Calculate 5 over 80 as a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's calculate what 5 is as a percentage of 80.

00:08 We'll use the formula for percentages to do this.

00:16 First, divide 5 by 80. Then, multiply the result by 100.

00:25 Next, simplify by breaking it into factors if you can.

00:45 And there you go! That's how you find the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 5 over 80 as a percentage:

Step-by-step solution

To calculate $5$ over $80$ as a percentage, follow these steps:

Step 1: Write down the percentage formula: $\left(\frac{\text{part}}{\text{whole}}\right) \times 100$ .
Step 2: Substitute the given values into the formula: $\left(\frac{5}{80}\right) \times 100$ .
Step 3: Calculate the fraction $\frac{5}{80}$ , which simplifies to $0.0625$ .
Step 4: Multiply $0.0625$ by $100$ to convert into a percentage: $0.0625 \times 100 = 6.25$ %.

Therefore, $5$ over $80$ is $6.25\%$ .

Final Answer

6.25%

Key Points to Remember

Essential concepts to master this topic

Formula: Use (part/whole) × 100 to convert any fraction to percentage
Technique: Divide 5 ÷ 80 = 0.0625, then multiply by 100
Check: Verify 6.25% of 80 equals 5: 0.0625 × 80 = 5 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100 after finding the decimal
Don't stop at 0.0625 and call it the percentage = missing the final step! The decimal 0.0625 is not the same as 6.25%. Always multiply your decimal result 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

Why do I need to multiply by 100 to get a percentage?

Percentages mean 'per hundred' - so 6.25% literally means 6.25 out of 100. When you divide $\frac{5}{80}$ , you get the decimal 0.0625, which represents the same proportion but needs to be expressed 'per 100' to become a percentage.

Can I simplify the fraction before converting?

Yes! $\frac{5}{80}$ simplifies to $\frac{1}{16}$ . Then 1 ÷ 16 = 0.0625, and 0.0625 × 100 = 6.25%. Both methods give the same answer!

What if I get a repeating decimal when I divide?

That's normal! For example, $\frac{1}{3}$ = 0.333... which becomes 33.33...%. You can round to a reasonable number of decimal places or leave it as a fraction like 33⅓%.

How do I check if my percentage is correct?

Convert back! Take your percentage, divide by 100, then multiply by the original whole number. For our problem: 6.25% ÷ 100 = 0.0625, and 0.0625 × 80 = 5 ✓

Is there a shortcut for converting fractions to percentages?

Denominator of 100: The numerator is already the percentage
Denominator of 50: Multiply numerator by 2
Denominator of 25: Multiply numerator by 4
Other denominators: Use the standard division and multiply by 100 method

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