Step by Step Method to Write 12 Percent as a Fraction in Simplest Form
What do you do when you and your sibling have to share a large pizza? To avoid a fight between you two, you divide it into several slices of the same size, isn’t it? But how do you know that each slice is of the same size? And how do you divide the pizza?
Well, here Maths comes into play. The topic of fraction in Maths defines the portion or section of a whole object or quantity. Fractions are represented in the form of a numerator and a denominator.
For example, consider this circle. The circle is divided into 12 equal parts and one part is coloured darker than the others. This darker part is called the twelfth part of the circle. In fractions, it can be written as\[\frac{1}{12}\], where 1 = numerator and 12 = denominator.
Every integer is also considered a fraction with denominator 1.
A circle divided into 12 equal parts.
Convert 12% into a Fraction
12% is a term written in percentage form but we need to convert it into the fraction form. But how to do it? To express 12 as a fraction, follow the given step-by-step procedure.
Step 1: Divide the given number in percentage form by 100 like this:
12% = \[\frac{12}{100}\]
Step 2: Now we need to multiply both the numerator and denominator by 10 for every number after the decimal point. Since 12 is an integer with no decimal point, we can just skip to the next step.
Step 3: In this step, we need to simplify the obtained fraction, i.e. \[\frac{12}{100}\] into the simplest form. To simplify any fraction, we find the greatest common divisor (GCD) of the number and then divide both the numerator and denominator by the GCD to obtain our simplified fraction. In this case, the GCD of 12 and 100 is 4.
Dividing 12/100 by 4,
(12 ÷ 4)/(100 ÷ 4) = 3/25
12 percent when written as a fraction in its simplest form is 3/25.
Quiz Time!
1.Convert these percentages into the simplest form of fractions.
18%
25%
76%
55%
2. The given picture shows Sylvia’s garden in which she has grown flowers. Can you tell which flowers she grows the most? Express the part of those flowers as a fraction in its simplest form.
Fraction exercise for kids
Answers:
9/50
1/4
19/25
11/20
Sylivia grows red flowers the most, which are 8 in number out of a total 12 flowers.
Fraction of the field that contains red flowers = 8/12
In simplest form = 2/3
Conclusion
Now you understand the importance of fractions and how you can express percentages as fractions. Using our detailed explanation of how to write 12 as a fraction, you can practice other similar questions yourself. Also, if you want to learn more about such mathematical concepts, explore our website and enhance your learning experience!
FAQs on How to Convert 12 Percent into a Fraction Easily
1. What is 12% as a fraction?
12% as a fraction is 3/25.
- 12% means 12 per 100.
- Write it as 12/100.
- Simplify by dividing numerator and denominator by 4.
- 12 ÷ 4 = 3 and 100 ÷ 4 = 25.
- So, 12% = 3/25.
2. How do you convert 12% into a fraction step by step?
To convert 12% into a fraction, write it over 100 and simplify to get 3/25.
- Step 1: Remove the percent sign and write 12% as 12/100.
- Step 2: Find the greatest common divisor (GCD) of 12 and 100, which is 4.
- Step 3: Divide both by 4 → 12/100 = 3/25.
- Final answer: 3/25.
3. Why is 12% written as 12/100?
12% is written as 12/100 because percent means "per hundred".
- The symbol % represents division by 100.
- So 12% literally means 12 out of 100.
- This gives the fraction 12/100, which simplifies to 3/25.
4. What is 12% in simplest fraction form?
12% in simplest fraction form is 3/25.
- Start with 12/100.
- Both numbers are divisible by 4.
- After simplifying, 12/100 = 3/25.
- Since 3 and 25 have no common factors, this is the simplest form.
5. Can you show an example of converting 12% to a fraction?
Yes, converting 12% to a fraction gives 3/25.
- Example: In a class of 100 students, 12% means 12 students.
- That is 12/100.
- Simplify 12/100 by dividing by 4.
- You get 3/25.
6. What is the decimal and fraction form of 12%?
12% equals the decimal 0.12 and the fraction 3/25.
- To convert to decimal: divide by 100 → 12 ÷ 100 = 0.12.
- To convert to fraction: write 12/100 and simplify.
- 12/100 = 3/25.
7. How do you simplify 12/100?
12/100 simplifies to 3/25 by dividing both numbers by 4.
- Find the GCD of 12 and 100, which is 4.
- Divide numerator and denominator by 4.
- 12 ÷ 4 = 3 and 100 ÷ 4 = 25.
- The simplified fraction is 3/25.
8. Is 12% equal to 6/50?
Yes, 12% is equal to 6/50, and both simplify to 3/25.
- 12% = 12/100.
- Divide numerator and denominator by 2 → 6/50.
- Divide again by 2 → 3/25.
- All three fractions represent the same value.
9. What is the fastest way to convert 12% to a fraction?
The fastest way to convert 12% to a fraction is to write 12/100 and simplify to 3/25.
- Remove the percent sign.
- Place the number over 100.
- Simplify using common factors.
- Final result: 3/25.
10. What mistakes should I avoid when converting 12% into a fraction?
The main mistake when converting 12% into a fraction is forgetting to divide by 100 and simplify to 3/25.
- Do not write 12% as 12/1.
- Always place the number over 100.
- Always simplify the fraction fully.
- Remember: 12% = 12/100 = 3/25.
