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Last updated on September 15, 2025
A unit fraction is a type of fraction where the numerator is always 1 and the denominator is a natural number. It is written in the form 1/p, where p is a natural number; for example, 1/2, 1/5, 1/9. It is used to understand how a whole object is divided into equal parts.
A fraction represents a part of a whole and is written in the form p/q. A unit fraction is a type of fraction where the numerator is always 1 and the denominator can be any natural number. Since ‘unit’ means one, a fraction with 1 as the numerator is called a unit fraction. For example, 1/4, 1/23, and 1/45.
Fractions are classified as unit or non-unit fractions based on the numerator. Let’s understand the difference between unit fractions and non-unit fractions.
Unit Fraction | Non-Unit Fraction |
The numerator of a unit fraction is always 1 | The numerator of a non-unit fraction is greater than 1 |
A unit fraction is always a proper fraction | A non-unit fraction can be a proper or an improper fraction |
Example: 1/2, 1/5, 1/7 | Examples: 2/5, 6/7, 8/3 |
The multiplication of a unit fraction follows the same rules as fractions. We can multiply a unit fraction with a whole number, another unit fraction, or a non-unit fraction. When multiplying two unit fractions, we first multiply the numerators and then the denominators. It can be expressed as 1/a × 1/b = (1 × 1)/(a × b).
For example,
1/5 × 1/7 = (1 × 1)/(5 × 7) = 1/35
When adding unit fractions, there are two cases based on the denominator. This depends on whether the denominators are the same or different.
The subtraction of a unit fraction is similar to the addition, and instead of adding, we subtract. For example, subtract 1/5 from 1/2
1/2 - 1/5, as the fractions have different denominators, we find the least common denominator of 2 and 5
The LCM of 2 and 5 is 10
To convert the fraction to equivalent fractions,
we multiply 1/2 with 5/5, that is 1/2 × 5/5 = 5/10
we multiply 1/5 with 2/2, that is 1/5 × 2/2 = 2/10
5/10 - 2/10 = (5 - 2)/10 = 3/10
To divide a unit fraction by a whole number, multiply it by the reciprocal of that number. By following these steps, you can divide a unit fraction by a whole number.
Step 1: Take the reciprocal of the whole number
Step 2: Convert the division into multiplication by using the reciprocal of the whole number.
For example, 1/5 ÷ 4
To divide ⅕ by 4, we multiply ⅕ by the reciprocal of 4.
The reciprocal of 4 is 1/4
That is 1/5 ÷ 1/4 = 1/5 × 1/4
= 1/20
Errors are common among students when working on unit fractions. So let’s learn a few common mistakes and the ways to avoid them.
In real life, we use unit fractions in different fields such as cooking, shopping, math, physics, and so on. Here are the applications of unit fractions:
Write the fraction representing the shaded part of each circle. Identify which fractions can be classified as unit fractions.
The unit fractions are 1/4 and 1/5
A unit fraction is a fraction that has 1 as a numerator.
In the first circle, the fraction is 1/4; it is a unit fraction, as the numerator is 1.
In the second circle, the fraction is 3/6, as the numerator is 3, which is not a unit fraction.
In the third circle, the fraction is 1/5, which is a unit fraction.
Find the sum of 1/8 and 1/3?
1/8 + 1/3 = 11/24
To find the sum of 1/8 +1/3, we need to find the common denominator of 8 and 3
The least common denominator of 8 and 3 is 24
Multiplying 1/8 by 3/3; 1/8 × 3/3 = 3/24
Multiplying 1/3 by 8/8; 1/3 × 8/8 = 8/24
3/24 + 8/24 = 11/24
Subtract 1/2 - 1/5?
1/2 - 1/5 = 3/10
As both fractions have different denominators, we first find the common denominator of 2 and 5
The least common denominator of 2 and 5 is 10
Multiplying 1/2 by 5/5, 1/2 × 5/5 = 5/10
Multiplying 1/5 by 2/2, 1/5 × 2/2 = 2/10
5/10 - 2/10 = 3/10
Find the product of 1/9 and 1/4?
1/9 × 1/4 = 1/36
Multiplying the numerator and denominator that is
1/9 × 1/4 = (1 × 1) / (9 × 4)
=1/36
Find the value 1/4 ÷ 1/2?
1/4 ÷ 1/2 = 1/2
To divide a fraction, we multiply the first fraction by the reciprocal of the second fraction.
So, 1/4 ÷ 1/2 = 1/4 × 2/1
=2/4 = 1/2
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.