Convert Fraction 5/25 to Percentage: Step-by-Step Solution

Q: Why do I divide 5 by 25 instead of 25 by 5?

The numerator always goes first in division! Think of $ \frac{5}{25} $ as "5 divided by 25" or "how many 25s fit into 5." Dividing backwards gives you 5, which would be 500% - way too big!

Q: Can I simplify the fraction first before converting?

Absolutely! $ \frac{5}{25} = \frac{1}{5} $ by dividing both by 5. Then $ \frac{1}{5} = 0.2 = 20\% $. Simplifying first often makes the math easier!

Q: What if I get a long decimal like 0.333...?

That's normal! For repeating decimals, you can round to a reasonable number of places (usually 1-2 decimal places for percentages) or leave as a fraction if exact.

Q: How do I remember to multiply by 100?

Think "percent means per hundred"! The decimal 0.2 means 2 parts per 10, but percentage means parts per 100, so 0.2 = 20 parts per 100 = 20%.

Fraction to Percentage with Division Method

Calculate 5 over 25 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 25

00:05 Apply the formula to calculate percentages

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

00:23 Break down into factors and simplify wherever possible

00:50 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 5 over 25 as a percentage:

Step-by-step solution

To solve this problem, we will convert the fraction $\frac{5}{25}$ into a percentage. Let's follow these steps:

Step 1: Divide the numerator by the denominator. Here, we divide 5 by 25:
$\frac{5}{25} = 0.2$ .
Step 2: Convert the decimal to a percentage by multiplying by 100:
$0.2 \times 100 = 20\%$ .

Therefore, the solution to the problem is 20%.

Final Answer

20%

Key Points to Remember

Essential concepts to master this topic

Rule: Divide numerator by denominator to get decimal first
Technique: Multiply decimal by 100: 0.2 × 100 = 20%
Check: Verify 20% of 25 equals 5: 0.20 × 25 = 5 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply decimal by 100
Don't stop at the decimal 0.2 thinking that's your final answer = missing the percentage step! A decimal and percentage are different forms. Always multiply your decimal result by 100 to convert to percentage format.

Practice Quiz

Test your knowledge with interactive questions

Calculate 15% of 100:

FAQ

Everything you need to know about this question

Why do I divide 5 by 25 instead of 25 by 5?

The numerator always goes first in division! Think of $\frac{5}{25}$ as "5 divided by 25" or "how many 25s fit into 5." Dividing backwards gives you 5, which would be 500% - way too big!

Can I simplify the fraction first before converting?

Absolutely! $\frac{5}{25} = \frac{1}{5}$ by dividing both by 5. Then $\frac{1}{5} = 0.2 = 20\%$ . Simplifying first often makes the math easier!

What if I get a long decimal like 0.333...?

That's normal! For repeating decimals, you can round to a reasonable number of places (usually 1-2 decimal places for percentages) or leave as a fraction if exact.

How do I remember to multiply by 100?

Think "percent means per hundred"! The decimal 0.2 means 2 parts per 10, but percentage means parts per 100, so 0.2 = 20 parts per 100 = 20%.

Is there a faster way than dividing?

For some fractions, yes! If the denominator is a factor of 100 (like 25), you can think: $\frac{5}{25} = \frac{5 \times 4}{25 \times 4} = \frac{20}{100} = 20\%$ .

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