Fractions having the same denominator are known as like fractions. For example, 1/2, 3/2, and 5/2 are like fractions with a common denominator 2. Such fractions show parts of the whole divided equally into the exact same parts, for an instance, 1/2 implies 1 part out of 2, 3/2 implies 3 parts out of 2, and 5/2 implies 5 parts out of 2.
1. What are Like Fractions? 2. Addition and Subtraction of Like Fractions 3. Difference between Like Fraction and Unlike Fraction 4. FAQs on Like Fractions
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Like fractions are the group of two or more fractions having the same denominator. In these fractions, the whole is divided into a fixed number of equal portions. For example, 5/6 and 4/6 are like fractions. Here, we have divided the whole into 6 equal parts. In 5/6, we are considering 5 parts out of 6, and in 4/6 we are considering 4 parts out of 6.
In the figure given below, a group of four like fractions 1/5, 2/5, 3/5, and 4/5 is shown pictorially.
It is very easy to add or subtract two or more like fractions. Follow the step given below for the addition and subtraction of like fractions:
- Step 1- Add or subtract the numerators of the fractions.
- Step 2- Write the result in the form of the numerator obtained in step-1 over the common denominator.
For example, let us add 2/13 and 5/13.
The first step is to add their numerators, i.e, 2+5=7. So, the sum of fractions 2/13 and 5/13 is 7/13.
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Similarly, to subtract 3/4 from 7/4, subtract 3 from 7, i.e., 7-3=4. So, the difference is 4/4, which can be reduced to 1.
Both like fractions and unlike fractions are considered in groups or pairs. The major difference between like fractions and unlike fractions is that unlike fractions have different denominators, whereas like fractions have the same denominator. For example, 1/7 and 4/7 are like fractions, whereas 1/7 and 3/4 are unlike fractions.
Here, it is important to note that sometimes, fractions are not given in the simplest form, but to identify like fractions, we would have to first reduce the fractions in the simplest form. For example, 5/2 and 9/6 are looking like unlike fractions as they have two different denominators 2 and 6. But actually, when we write 9/6 in the simplest form, we get 3/2. And, 3/2 and 5/2 are like fractions.
Topics Related to Like Fraction
Check these interesting articles related to the concept of like fractions in math.
- Fractions
- Types of Fractions
- Equivalent Fractions
- Like Fractions and Unlike Fractions
- Addition and Subtraction of Fractions
- Like Fractions Calculator
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