Convert Fraction to Percentage: Solving 22/25 Step-by-Step

Q: Why can't I just divide 22 by 25 and move the decimal?

You absolutely can! Dividing gives you 0.88, and moving the decimal two places right gives 88%. Both methods work - use whichever feels easier to you!

Q: How do I know what number to multiply by?

Ask yourself: "What times my denominator equals 100?" For 25, it's 4 because 25 × 4 = 100. For 20, it would be 5 because 20 × 5 = 100.

Q: Is there a shortcut for common denominators?

Yes! Memorize these: Fourths: ×25 (since 4 × 25 = 100)Fifths: ×20 (since 5 × 20 = 100)Twentieths: ×5 (since 20 × 5 = 100)

Q: Why does this method work?

Percentage means "per hundred," so we need our fraction to have 100 in the denominator. When we multiply both parts by the same number, we keep the fraction's value unchanged while changing its form.

Fraction to Percentage with Denominator Scaling

Convert the fraction into a percentage:

$\frac{22}{25}=\text{?}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 Let's change the fraction into a percentage.

00:11 When the bottom number of a fraction is one hundred, the top number is the percentage. Easy, right?

00:23 Now, let's find out what to multiply the bottom number by to make it one hundred.

00:33 Multiply both the top and bottom by four, so the bottom number becomes one hundred.

00:51 Now apply this trick to solve our problem.

00:57 And there you have it! That's the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the fraction into a percentage:

$\frac{22}{25}=\text{?}$

Step-by-step solution

To convert a fraction to a percentage, the denominator must be converted to 100

$25\times4=100$

We also multiply the numerator by the same number, that is, 4:

$\frac{22\times4}{25\times4}=\frac{88}{100}$

Now we use the formula

$\frac{x}{100}=x\%$

$\frac{88}{100}=88\%$

Final Answer

88%

Key Points to Remember

Essential concepts to master this topic

Rule: Convert denominator to 100 by multiplying both parts equally
Technique: Since 25 × 4 = 100, multiply 22 × 4 = 88
Check: Verify $\frac{88}{100} = 88\%$ equals original fraction ✓

Common Mistakes

Avoid these frequent errors

Only multiplying the numerator without adjusting denominator
Don't multiply just 22 by 4 to get 88% while keeping denominator as 25 = wrong percentage! This changes the fraction's value completely. Always multiply both numerator and denominator by the same number.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{2}{100}=\text{?}$

FAQ

Everything you need to know about this question

Why can't I just divide 22 by 25 and move the decimal?

You absolutely can! Dividing gives you 0.88, and moving the decimal two places right gives 88%. Both methods work - use whichever feels easier to you!

What if the denominator doesn't go into 100 evenly?

Great question! If 100 isn't divisible by your denominator, use division instead. For example, $\frac{2}{3}$ becomes 2 ÷ 3 = 0.667 = 66.7%.

How do I know what number to multiply by?

Ask yourself: "What times my denominator equals 100?" For 25, it's 4 because 25 × 4 = 100. For 20, it would be 5 because 20 × 5 = 100.

Is there a shortcut for common denominators?

Yes! Memorize these:

Fourths: ×25 (since 4 × 25 = 100)
Fifths: ×20 (since 5 × 20 = 100)
Twentieths: ×5 (since 20 × 5 = 100)

Why does this method work?

Percentage means "per hundred," so we need our fraction to have 100 in the denominator. When we multiply both parts by the same number, we keep the fraction's value unchanged while changing its form.

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