Convert Fraction to Percentage: Solving 3/4 as a Percentage Value

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

When the denominator doesn't divide 100 evenly, you can divide the numerator by the denominator to get a decimal, then multiply by 100. For example: $ \frac{2}{3} $ = 2 ÷ 3 = 0.667, so 66.7%

Q: Why do we need the denominator to be 100?

Percent means "per hundred" - so percentages are just fractions with denominator 100! Converting to $ \frac{something}{100} $ makes it easy to read as a percentage.

Q: Can I use a calculator to convert fractions to percentages?

Absolutely! Divide the numerator by denominator, then multiply by 100. But learning the equivalent fraction method helps you understand why the conversion works.

Q: How do I remember which number to multiply by?

Ask yourself: "What times my denominator equals 100?" For $ \frac{3}{4} $, since 4 × 25 = 100, multiply both top and bottom by 25!

Q: What if I get a percentage over 100%?

That's normal for improper fractions! For example, $ \frac{5}{4} $ = 125%. Percentages over 100% just mean the value is greater than 1 whole.

Fraction to Percentage with Equivalent Fractions

Convert the following fraction into a percentage:

$\frac{3}{4}$

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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 In order to convert a fraction into a percentage, we multiply the fraction by 100

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

00:19 Simplify wherever possible

00:29 Here is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the following fraction into a percentage:

$\frac{3}{4}$

Step-by-step solution

To convert a fraction to a percentage, we must convert the denominator to 100.

In this case, we know that 4*25 = 100

Therefore, we multiply both the numerator and the denominator by 25.

3*25 = 75

4*25 = 100

We are left with 75/100, which is actually 75%

And this is the solution!

Final Answer

75%

Key Points to Remember

Essential concepts to master this topic

Rule: Convert fractions to percentage by making denominator 100
Technique: Multiply $\frac{3}{4}$ by $\frac{25}{25}$ to get $\frac{75}{100}$
Check: Verify 75% = 0.75 and 3 ÷ 4 = 0.75 ✓

Common Mistakes

Avoid these frequent errors

Adding 100 to the numerator or denominator
Don't just add 100 to get 103/4 or 3/104 = wrong percentages! This changes the fraction's value completely. Always multiply both numerator and denominator by the same number to keep the fraction equivalent.

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

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

When the denominator doesn't divide 100 evenly, you can divide the numerator by the denominator to get a decimal, then multiply by 100. For example: $\frac{2}{3}$ = 2 ÷ 3 = 0.667, so 66.7%

Why do we need the denominator to be 100?

Percent means "per hundred" - so percentages are just fractions with denominator 100! Converting to $\frac{something}{100}$ makes it easy to read as a percentage.

Can I use a calculator to convert fractions to percentages?

Absolutely! Divide the numerator by denominator, then multiply by 100. But learning the equivalent fraction method helps you understand why the conversion works.

How do I remember which number to multiply by?

Ask yourself: "What times my denominator equals 100?" For $\frac{3}{4}$ , since 4 × 25 = 100, multiply both top and bottom by 25!

What if I get a percentage over 100%?

That's normal for improper fractions! For example, $\frac{5}{4}$ = 125%. Percentages over 100% just mean the value is greater than 1 whole.

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