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 30 over 100 as a percentage:

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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