Step-by-Step Method to Convert 30% to a Fraction
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 the fraction value of 30% in its simplest form?
The fraction value of 30% in its simplest form is 3/10. To find this, you first express the percentage as a fraction with a denominator of 100, which gives you 30/100. Then, you simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 10. This results in the simplified fraction 3/10.
2. What are the key steps to convert 30 percent into a fraction?
To convert 30% into a fraction, you can follow these simple steps as per the NCERT methodology:
Step 1: Remove the percent symbol (%) and write the number over 100. For 30%, this becomes 30/100.
Step 2: Simplify the resulting fraction to its lowest terms. Find the greatest common divisor (GCD) of the numerator (30) and the denominator (100), which is 10.
Step 3: Divide both the numerator and the denominator by the GCD. So, 30 ÷ 10 = 3 and 100 ÷ 10 = 10. The final simplified fraction is 3/10.
3. Why is it necessary to simplify the fraction 30/100 to its lowest terms?
Simplifying a fraction like 30/100 to its lowest terms (3/10) is a crucial step in mathematics for several reasons. Firstly, the simplest form provides a standard and universally understood representation of the value, making it easier to compare with other fractions. Secondly, working with smaller numbers (3 and 10 instead of 30 and 100) makes subsequent calculations, such as addition or multiplication, much simpler and less prone to errors. It represents the same value in the most concise way possible.
4. What is the decimal form of 30%?
The decimal form of 30% is 0.3 or 0.30. To convert any percentage to a decimal, you simply divide the number by 100. In this case, dividing 30 by 100 gives you 0.30. This is equivalent to moving the decimal point two places to the left.
5. How can you apply the concept of 30% as a fraction in a real-life situation?
Understanding that 30% is equal to the fraction 3/10 is very useful in everyday life. For example, if a shop offers a 30% discount on a shirt that costs ₹500, you can quickly calculate the discount amount. Instead of complex percentage calculations, you can simply find 3/10 of 500. This is (3/10) * 500 = ₹150. So, the discount is ₹150, and the final price is ₹350. This makes mental calculations much faster.
6. What is a common mistake to avoid when converting 30% to a fraction?
A very common mistake students make is correctly writing 30% as 30/100 but then forgetting to simplify it to its lowest terms. While 30/100 is technically correct, it is not the final answer in its simplest form. According to CBSE guidelines, fractions should always be presented in their most reduced form unless specified otherwise. Therefore, always check if the numerator and denominator share any common factors and divide them out to get the final answer, which is 3/10.
7. How do you convert the fraction 3/10 back into a percentage?
To convert the fraction 3/10 back into a percentage, you simply multiply the fraction by 100 and add the percent symbol (%). The calculation is (3/10) × 100%. This simplifies to (3 × 100) / 10, which equals 300 / 10. The result is 30, so the final answer is 30%. This confirms that the fraction 3/10 is the correct equivalent of 30 percent.
