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Comparing fractions means figuring out which of two or more fractions is greater and which is smaller. As fractions include two elements – a numerator and a denominator – we must compare them according to a set of rules. In this article, we will learn more about comparing fractions.
It is also possible that a piece or section of any quantity is also known as a fraction. It is represented by the ‘/’ sign, as in a/b. For example, 2/4 is a fraction with the numerator in the upper part and the denominator in the lower part. We will learn the definition of fractions in mathematics, the many types of fractions, how to convert fractions to decimals, and numerous solved problems with detailed explanations in this post.
Let us review fractions before moving on to the concept of comparing fractions. A fraction is a subset of a whole that has two parts: the numerator and the denominator. The numerator is the number on the fractional bar’s upper half, while the denominator is the number on the fractional bar’s lower half.
Let us talk about fraction comparisons in more detail now.
When two fractions are compared, we can determine which is greater and which is smaller. In our daily lives, we must compare fractions. For example, while comparing the proportions of ingredients while following a recipe or comparing exam grades, etc. So, to further comprehend the notion, let us go over the various methods of comparing fractions.
1/2 x 1/3= 3/6 and 1/3 x 1/2 = 2/6.
3/6 > 2/6. Therefore, 1/2 > 1/3
Every fraction, as we all know, is made up of two terms: the numerator and the denominator. The numerator is at the top, while the denominator is at the bottom. Consider the fraction 3/4 as an example. The numerator is 3 and the denominator is 4.
Like fractions can be simply compared because their denominators are the same, but unlike fractions must be changed to like fractions before being compared. Let us look at the comparison procedure for both of these categories.
When two fractions have the same denominator, comparing them is simple.
We must convert unlike denominators to like denominators before comparing fractions. To do so, we must find the Least Common Multiple (LCM) of the denominators. We can simply compare fractions when the denominators are the same. Let us look at 1/2 and 2/5 as an example.
We hope this article on Comparison of Fractions With the Same Denominator helps you. If you have any academic queries, do reach out to us. You can write us a mail at [email protected] or call 18002572961 (Toll-Free). We will be happy to help you.
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