Convert 1/4 into a Percentage: A Simple Calculation Guide

Q: Why do I need to convert to decimal first instead of just multiplying by 100?

Converting to decimal first helps you understand the size of the fraction! $ \frac{1}{4} = 0.25 $ shows it's a quarter, making it easier to see why it becomes 25%.

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

That's normal! $ \frac{1}{3} = 0.333... $ becomes 33.33...% or approximately 33.3%. You can round to a reasonable number of decimal places.

Q: Is there a shortcut for common fractions?

Yes! Memorize these common ones:$ \frac{1}{2} = 50% $$ \frac{1}{4} = 25% $$ \frac{3}{4} = 75% $$ \frac{1}{5} = 20% $

Q: What if my fraction is bigger than 1, like 5/4?

Follow the same steps! $ \frac{5}{4} = 1.25 $, then 1.25 × 100 = 125%. Percentages can be greater than 100% when the fraction is greater than 1.

Fraction to Percentage with Division Method

Given the fraction $\frac{1}{4}$ convert it into percentages

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert fractions to percentages

00:03 To convert a fraction to a percentage, multiply the fraction by 100

00:11 Break down 100 into factors of 25 and 4

00:19 Simplify wherever possible

00:28 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Given the fraction $\frac{1}{4}$ convert it into percentages

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Convert the fraction to a decimal.
Step 2: Convert the decimal to a percentage.

Now, let's work through each step:

Step 1: Convert the fraction $\frac{1}{4}$ to a decimal. Divide 1 by 4, which gives:

$1 \div 4 = 0.25$

Step 2: Convert the decimal $0.25$ to a percentage. Multiply by 100 to change a decimal into a percentage:

$0.25 \times 100 = 25 \%$

Therefore, the fraction $\frac{1}{4}$ is equivalent to 25%.

Final Answer

25%

Key Points to Remember

Essential concepts to master this topic

Rule: Convert fraction to decimal first, then multiply by 100
Technique: Divide 1 ÷ 4 = 0.25, then 0.25 × 100 = 25%
Check: Verify 25% = 25/100 = 1/4 through cross-multiplication ✓

Common Mistakes

Avoid these frequent errors

Multiplying the fraction directly by 100 without converting to decimal
Don't multiply $\frac{1}{4} \times 100 = \frac{100}{4} = 25$ and call it 25%! This skips the decimal step and can confuse you with more complex fractions. Always convert to decimal first: 1 ÷ 4 = 0.25, then multiply by 100.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{24}{100}=\text{?}$

FAQ

Everything you need to know about this question

Why do I need to convert to decimal first instead of just multiplying by 100?

Converting to decimal first helps you understand the size of the fraction! $\frac{1}{4} = 0.25$ shows it's a quarter, making it easier to see why it becomes 25%.

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

That's normal! $\frac{1}{3} = 0.333...$ becomes 33.33...% or approximately 33.3%. You can round to a reasonable number of decimal places.

Is there a shortcut for common fractions?

Yes! Memorize these common ones:

$\frac{1}{2} = 50%$
$\frac{1}{4} = 25%$
$\frac{3}{4} = 75%$
$\frac{1}{5} = 20%$

How can I check if my percentage is correct?

Convert your percentage back to a fraction! If you got 25%, write it as $\frac{25}{100}$ and simplify to $\frac{1}{4}$ . It should match your original fraction!

What if my fraction is bigger than 1, like 5/4?

Follow the same steps! $\frac{5}{4} = 1.25$ , then 1.25 × 100 = 125%. Percentages can be greater than 100% when the fraction is greater than 1.

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