Convert the Fraction 135/100 to a Percentage

Q: Why is 135/100 equal to 135% directly?

Because percent means "per 100"! When you have a fraction with 100 in the denominator, you're already showing "parts per 100," which is exactly what percentage measures.

Q: What if I get confused and think 135% seems too big?

Remember that percentages can be greater than 100%! $ \frac{135}{100} $ = 1.35, which means 135 parts out of 100, or 35% more than a whole.

Q: How is this different from other fraction-to-percentage problems?

Most fractions need the formula: (numerator ÷ denominator) × 100. But when denominator is already 100, you skip the division and multiplication steps!

Q: What if the denominator was 10 instead of 100?

Then you'd need an extra step! $ \frac{135}{10} $ would become 1350% because you multiply both parts by 10 to get the equivalent $ \frac{1350}{100} $.

Fraction to Percentage with Denominators of 100

Convert the fraction $\frac{135}{100}$ to a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 Let's learn how to convert fractions into percentages.

00:11 To change a fraction to a percentage, make sure the bottom number is one hundred.

00:16 The top number is your percentage. Easy, right?

00:21 Let's try this out with a problem.

00:26 And there you have it, that's how we find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the fraction $\frac{135}{100}$ to a percentage:

Step-by-step solution

To solve this problem, we should first recognize the nature of the fraction $\frac{135}{100}$ . Since the denominator is 100, the fraction directly represents the percentage equivalent of the numerator.

Step-by-step:

Step 1: Understand that any fraction $\frac{a}{100}$ can be interpreted as $a\%$ in percentage form.
Step 2: In this instance, $\frac{135}{100}$ directly translates to 135% because the denominator is 100.

Therefore, the fraction $\frac{135}{100}$ is equivalent to 135%.

The correct choice from the options provided is choice 3: 135%.

Therefore, the solution to the problem is 135%.

Final Answer

135%

Key Points to Remember

Essential concepts to master this topic

Rule: When denominator is 100, numerator equals percentage directly
Technique: $\frac{135}{100}$ becomes 135% immediately
Check: 135% = 135/100 = 1.35 as decimal ✓

Common Mistakes

Avoid these frequent errors

Converting to decimal first then forgetting to multiply by 100
Don't convert $\frac{135}{100}$ to 1.35 and stop there = missing the % conversion! This gives you the decimal form, not percentage. Always remember that when denominator is 100, the numerator IS the percentage.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction $\frac{75}{100}$

to a percentage:

FAQ

Everything you need to know about this question

Why is 135/100 equal to 135% directly?

Because percent means "per 100"! When you have a fraction with 100 in the denominator, you're already showing "parts per 100," which is exactly what percentage measures.

What if I get confused and think 135% seems too big?

Remember that percentages can be greater than 100%! $\frac{135}{100}$ = 1.35, which means 135 parts out of 100, or 35% more than a whole.

Do I need to simplify the fraction first?

No! When converting to percentage, keep the denominator as 100. Simplifying $\frac{135}{100}$ to $\frac{27}{20}$ makes the conversion harder, not easier.

How is this different from other fraction-to-percentage problems?

Most fractions need the formula: (numerator ÷ denominator) × 100. But when denominator is already 100, you skip the division and multiplication steps!

What if the denominator was 10 instead of 100?

Then you'd need an extra step! $\frac{135}{10}$ would become 1350% because you multiply both parts by 10 to get the equivalent $\frac{1350}{100}$ .

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