
What Is Fractional Of Hundred Formula Steps and Solved Examples
In Maths, a fraction is used to symbolise the element or part of the entirety. It represents the equal elements of the entire. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator. The numerator defines the number of identical parts taken, whereas the denominator defines the entire quantity of the same components in a whole.
For instance, $\dfrac{5}{10}$ is a fraction. Here, 5 is a numerator, and 10 is a denominator. So what is the fractional of a hundred? In this article, you'll learn how to find the fractional of 100.
Fraction
Types of Fractions
There are four different varieties of fractions. They are:
Unit Fraction: In a fraction, the numerator with 1 is known as a unit fraction. For instance, $\dfrac{1}{2}$,$\dfrac{1}{4}$
Proper Fraction: If a numerator is less than the denominator, it is known as a proper fraction. $\dfrac{7}{9}$,$\dfrac{8}{10}$
Improper Fraction: If a numerator is greater than the denominator, it is called an improper fraction. Example: $\dfrac{11}{2}$,$\dfrac{6}{4}$
Mixed Fraction: If a fraction includes a whole number with a proper fraction, it is called a mixed fraction. Example five $5\dfrac{1}{2}$,$10\dfrac{1}{4}$
Other Types of Fractions
Like Fractions: The fractions with the identical denominator are called like fractions.
Example: $\dfrac{4}{2}, \dfrac{7}{2}, \dfrac{9}{2}$
Here, the denominators of all of the fractions are 2. Hence, they're referred to as like fractions.
Unlike Fractions: The fractions with distinct denominators are known as unlike fractions.
Example: $\dfrac{5}{2}, \dfrac{4}{6}, \dfrac{9}{4}$
Here, the denominator values are one-of-a-kind in all of the fractions. Hence, they're referred to as in-contrast-to fractions.
Equivalent Fractions: If two fractions bring about identical values after simplification, they're equal to every different.
Example: $\dfrac{2}{3}$ and $\dfrac{4}{6}$ are equal fractions, given that $\dfrac{4}{6} = \dfrac{(2 \times 2)}{(2 \times 3)}=\dfrac{2}{3}$
Fraction on a Number Line
Representing fractions on a number line implies that we can plot fractions on a number line in the same way that we can plot whole numbers and integers. Parts of a whole are represented by fractions. On the number line, fractions are represented by making equal portions of a whole, i.e. 0 to 1, and the number of those equal parts is the same as the number given in the fraction's denominator.
For example, if we need to represent $\dfrac{1}{8}$ on the number line, we need to mark 0 and 1 on the 2 ends and divide the number line into eight identical parts. And then mark the point which we have to represent.
Fraction on Number Line
Solved Examples
Q1. Write five hundredths in decimal form.
Ans: Since we know that one-tenth is $\dfrac{1}{10}.$ and one-hundredths is $\dfrac{1}{100}$ and so on.
So, when we are expanding any number which is having a decimal point.
After the decimal point, the place values of digits from left to right are tenth, hundredths, thousandth, and so on.
In digits these values are $\dfrac{1}{10}, \dfrac{1}{100}, \dfrac{1}{1000} \ldots$
So,
5 hundredths $=\dfrac{5}{100}$
In decimal form, it is $0.05$.
Therefore, five hundredths in the decimal form will be $0.05$.
Q2. What will be the fractional of 100?
Ans: A fraction is made up of two parts. The number on the top of the line is called the numerator. The number below the line is called the denominator.
In this case, we need to express 100 as a fraction.
Since 20 is a whole number, its denominator will predominantly be 1, and the numerator will remain $100 .$
Since a fraction $=$ numerator $/$ denominator
Thus, the fractional of 100 will be $\dfrac{100}{1}.$
Practice Problems
Q1. What will be the decimal form of $\dfrac{5}{10}$?
Ans: 0.5
Q2. What will be the fractional form of 0.44?
Ans: $\dfrac{44}{100}$
Summary
In this article, we learned about fractions and different types of fractions. Fractions are represented as numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, whereas the whole can be any number, a specific value, or a thing. Then we learned how to write five hundredths in decimal form and fractional of 100.
FAQs on Fractional Of Hundred Explained with Concepts and Uses
1. What is a fraction of hundred?
A fraction of hundred is a fraction whose denominator is 100, meaning it represents parts out of 100. It shows how many equal parts are taken from a whole divided into 100 equal parts.
- Example: 25/100 means 25 parts out of 100.
- It is closely related to percentages and decimals.
- 25/100 = 0.25 = 25%.
2. How do you write a fraction as a fraction of hundred?
To write a fraction as a fraction of hundred, convert it into an equivalent fraction with denominator 100. Follow these steps:
- Step 1: Check the denominator.
- Step 2: Multiply or divide numerator and denominator to make the denominator 100.
- Example: 3/4 × 25/25 = 75/100.
3. What is the formula to convert a fraction into percentage using fraction of hundred?
To convert a fraction into a percentage, multiply the fraction by 100%. The formula is:
- Percentage = (Fraction × 100)%
- 3/5 × 100% = 60%
4. How do you convert a fraction of hundred into a decimal?
To convert a fraction of hundred into a decimal, divide the numerator by 100. Since the denominator is 100, move the decimal point two places left.
- Example: 45/100 = 0.45
- Example: 7/100 = 0.07
5. Why is a fraction of hundred related to percentage?
A fraction of hundred is related to percentage because percentage means "per hundred". Any fraction with denominator 100 directly represents a percent value.
- Example: 65/100 = 65%
- Percent symbol (%) means out of 100.
6. Can you give an example of solving a problem using fraction of hundred?
Yes, a fraction of hundred can be used to solve percentage problems easily. Example:
- Find 25% of 200.
- Step 1: Write 25% as 25/100.
- Step 2: Multiply: 25/100 × 200 = 50.
7. What is the difference between a fraction of hundred and a normal fraction?
The main difference is that a fraction of hundred has a denominator of 100, while a normal fraction can have any denominator. Key differences:
- Fraction of hundred: 80/100
- Normal fraction: 4/5, 7/8, 2/3
- Fractions of hundred easily convert to percentages and decimals.
8. How do you express a decimal as a fraction of hundred?
To express a decimal as a fraction of hundred, write the decimal over 100 if it has two decimal places. Steps:
- Example: 0.36 → 36/100
- Example: 0.5 → 0.50 = 50/100
9. What are some real-life examples of fractions of hundred?
Fractions of hundred are commonly used in real life in the form of percentages. Examples include:
- Discounts in shopping (20% off = 20/100).
- Exam scores (85% = 85/100).
- Interest rates in banking.
10. What are common mistakes when working with fractions of hundred?
Common mistakes with fractions of hundred usually involve incorrect conversion or simplification. Watch out for:
- Forgetting to divide by 100 when converting to decimal.
- Not multiplying by 100 when converting to percentage.
- Incorrect equivalent fraction calculation.





















