Step by Step Method to Convert 30 Percent into Simplest Fraction Form
Suppose you have 10 candies and your brother takes 3 of your candies? Now, do you know what fraction of candies did he take? Well, he took $\frac{3}{10}$ of your candies. Let us learn what percentage of candies your brother took or what is the percentage value of $\frac{3}{10}$?
In the following sections, you will learn how to write any fraction into a respective percentage and vice-versa. Also, you will learn how to write $\frac{3}{10}$ in percentage here.
What is a Fraction?
Fraction is any number that is written in the form of $\frac{a}{b}$. In the above fraction $\frac{3}{10}$, a = 3 is called the numerator and b = 10 is called the denominator.
What is Percent?
Percent is a number or value per hundred. It is denoted by the symbol %.
How to Convert Percentage in Fraction?
The conversion of percentage to a fraction is very easy. It involves two steps that are following:
Step 1. Remove the percentage symbol and divide by 100.
Step 2: Reduce the fraction to its simplest form.
What is Fraction Value of 30 %?
By following the above-given steps, we can convert the 30 percent into a fraction.
Step 1. 30 % = $\frac{30}{100}$
Step 2. Reduce the fraction $\frac{30}{100}$
=$\frac{30}{100}$ = $\frac{3}{10}$
So, the fraction value of 30 % is $\frac{3}{10}$.
How to Write Fractional Value into Percentage?
It is the reverse process. It is also a two-step process. The following are the two steps.
Step 1: Multiply the given fraction by 100 and add the % sign with it.
Step 2: Simplify the fraction and write the answer in integer or decimal numbers.
Convert $\frac{3}{10}$ to its Percentage Value
$\frac{3}{10}$ can be written in percentage as:
Step 1: $\frac{3}{10}$ x 100 %
Step 2: 3 ｘ 10 % = 30%
So, $\frac{3}{10}$ can be written as 30%.
Similarly, we can write any number or fraction in percentage.
Conversion from Fraction to Percent and Percent to Fraction
Let’s see Another Common Fraction and its Percentage Values!
Let us now find the percentage value of $\frac{1}{2}$.
$\frac{1}{2}$ can be written in percentage as:
Step 1: $\frac{1}{2}$ x 100 %
Step 2: 1 ｘ 50 % = 50%
So, $\frac{1}{2}$ can be written as 50%.
Points to Remember!
If a number is in decimal form, then first we need to convert the number into a fraction and then follow the above-given steps to convert a fraction into a percentage value.
Example: Write the percentage value of 0.3.
Solution: 0.3 = $\frac{3}{10}$
$\frac{3}{10}$ can be written in percentage as:
$\frac{3}{10}$x 100 % = 30 %
Tips for Parents
Mathematics is the most scoring subject, and kids get better at it with practice. We suggest parents to let their kids understand the applications of various mathematical concepts like fractions and percentages, etc. in their day to day lives to get a good hold of the subject. For example, they can introduce the concept of fractions by sharing a slice of pizza and make learning a fun process.
Conclusion
In this article, we have learnt the steps to convert any percentage value to its equivalent fraction and vice-versa. Also, we have converted the percentage value of 30 as a fraction.
FAQs on How to Write 30 Percent as a Fraction in Simplest Form
1. What is 30 percent as a fraction in simplest form?
30 percent as a fraction in simplest form is 3/10.
- 30% means 30 out of 100.
- Write it as a fraction: 30/100.
- Simplify by dividing numerator and denominator by 10.
- 30 ÷ 10 = 3 and 100 ÷ 10 = 10.
2. How do you convert 30% to a fraction step by step?
To convert 30% to a fraction, write it over 100 and simplify to get 3/10.
- Step 1: Write 30% as 30/100.
- Step 2: Find the greatest common factor (GCF) of 30 and 100, which is 10.
- Step 3: Divide both by 10.
- 30 ÷ 10 = 3, 100 ÷ 10 = 10.
3. Can 30% be written as 30/100?
Yes, 30% can be written as 30/100 because percent means “per hundred.”
- The word percent means per 100.
- So 30% literally means 30 out of 100.
- This gives the fraction 30/100, which simplifies to 3/10.
4. What is 30% as a decimal and as a fraction?
30% as a decimal is 0.30 (or 0.3), and as a fraction it is 3/10.
- To convert percent to decimal, divide by 100: 30 ÷ 100 = 0.30.
- To convert percent to fraction, write 30/100 and simplify.
- 30/100 reduces to 3/10.
5. Why is 30% equal to 3/10?
30% is equal to 3/10 because 30 out of 100 simplifies by dividing both numbers by 10.
- Start with 30/100.
- The GCF of 30 and 100 is 10.
- Divide both by 10 to get 3/10.
6. What is the simplest form of 30 over 100?
The simplest form of 30/100 is 3/10.
- Find the greatest common factor of 30 and 100, which is 10.
- Divide numerator and denominator by 10.
- 30 ÷ 10 = 3 and 100 ÷ 10 = 10.
7. Is 3/10 the same as 30 percent?
Yes, 3/10 is the same as 30 percent.
- Convert 3/10 to a decimal: 3 ÷ 10 = 0.3.
- Convert 0.3 to percent: 0.3 × 100 = 30%.
8. How do you simplify 30 percent as a fraction?
To simplify 30 percent as a fraction, convert it to 30/100 and reduce it to 3/10.
- Write 30% as 30/100.
- Identify the GCF (10).
- Divide both numerator and denominator by 10.
9. What is 30% of a number using fraction form?
30% of a number can be calculated using the fraction 3/10.
- Write 30% as 3/10.
- Multiply the number by 3/10.
- Example: 30% of 50 = 50 × 3/10 = 150/10 = 15.
10. What are common mistakes when converting 30% to a fraction?
A common mistake when converting 30% to a fraction is forgetting to simplify 30/100 to 3/10.
- Some students stop at 30/100 without reducing.
- Others divide by the wrong number instead of the GCF (10).
- Another mistake is writing 30% as 30/1, which is incorrect.
