Convert 75/100 into a Percentage: A Simple Breakdown

Fraction-to-Percentage Conversion with Denominators of 100

Convert the fraction 75100 \frac{75}{100}

to a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's turn fractions into percentages.
00:10 To do this, we need the bottom number, or denominator, to be 100.
00:15 Then, the percentage is just the top number, or numerator. So, that's X.
00:21 Now, let's use this idea in our exercise.
00:25 And this is how we find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Convert the fraction 75100 \frac{75}{100}

to a percentage:

2

Step-by-step solution

To solve this problem, follow these steps:

  • Step 1: Identify that the fraction given is 75100 \frac{75}{100} .
  • Step 2: Recognize that a fraction with a denominator of 100 directly gives the percentage represented by its numerator.

Now, let's work through each step:
Step 1: We see that the fraction is 75100 \frac{75}{100} , where 100 is the denominator, which is the standard for percentages.
Step 2: Since percentages are essentially fractions out of 100, the numerator directly translates into the percentage.

Thus, the percentage represented by 75100 \frac{75}{100} is 75%.

Therefore, the solution to the problem is 75%.

3

Final Answer

75%

Key Points to Remember

Essential concepts to master this topic
  • Rule: When denominator is 100, numerator directly equals percentage
  • Technique: 75100 \frac{75}{100} means 75 out of 100 parts
  • Check: 75% = 75100 \frac{75}{100} when converted back ✓

Common Mistakes

Avoid these frequent errors
  • Converting the denominator along with the numerator
    Don't turn 75100 \frac{75}{100} into 75/100% = wrong notation! The denominator 100 is what makes it a percentage base. Always use only the numerator as your percentage value.

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 does 75100 \frac{75}{100} automatically become 75%?

+

Because percent means "per hundred"! When your denominator is already 100, you're already showing parts out of 100, which is exactly what percentages represent.

What if the fraction was 34 \frac{3}{4} instead?

+

You'd need to convert it first! Find an equivalent fraction with denominator 100: 34=75100=75% \frac{3}{4} = \frac{75}{100} = 75\% . Multiply both numerator and denominator by 25.

Is 75% the same as 75100 \frac{75}{100} ?

+

Yes, they're identical! 75% literally means 75 parts out of 100 total parts. The % symbol is just another way to write "out of 100".

Can I simplify 75100 \frac{75}{100} before converting?

+

You can simplify to 34 \frac{3}{4} , but then you'd need extra steps to get the percentage. It's easier to convert directly when the denominator is already 100!

What does the 100 in the denominator represent?

+

The 100 represents the total number of equal parts. So 75100 \frac{75}{100} means 75 parts out of 100 total parts, which is naturally 75%.

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