Summer Vacation Maths Series || Class-6 || Ascending Descending of Fractions ||
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Ascending and descending order of fractions refers to arranging fractions in increasing or decreasing order based on their values. To understand this concept, let's start by defining fractions.
Fractions represent a part of a whole or a ratio of two numbers. They consist of a numerator and a denominator, where the numerator represents the number of parts we have, and the denominator represents the total number of equal parts the whole is divided into.
To arrange fractions in ascending order, we need to sort them from smallest to largest. Here's a step-by-step process to do that:
Find a common denominator: If the fractions have different denominators, we need to make them the same. To do this, we find the least common multiple (LCM) of the denominators and adjust the numerators accordingly.
Compare the fractions: Once the fractions have the same denominator, compare their numerators. The fraction with the smallest numerator is the smallest fraction.
Continue comparing: Move on to the next pair of fractions and compare their numerators. Repeat this process until all the fractions are arranged in ascending order.
For example, let's consider the fractions 3/8, 1/4, and 5/16:
Step 1: Find a common denominator:
The denominators are 8, 4, and 16. The LCM of these numbers is 16. Adjusting the fractions, we have:
3/8 = 6/16
1/4 = 4/16
5/16 = 5/16
Step 2: Compare the fractions:
Comparing the numerators, we can see that 4/16 is the smallest, followed by 5/16, and then 6/16.
Step 3: Arrange in ascending order:
The fractions in ascending order are 1/4, 5/16, and 3/8.
To arrange fractions in descending order, the process is the same as for ascending order, except we sort them from largest to smallest.
Using the same example, let's arrange the fractions 1/4, 5/16, and 3/8 in descending order:
Step 1: Find a common denominator:
We already adjusted the fractions in the previous example, so we can use the same adjusted fractions.
Step 2: Compare the fractions:
Comparing the numerators, we can see that 6/16 is the largest, followed by 5/16, and then 4/16.
Step 3: Arrange in descending order:
The fractions in descending order are 3/8, 5/16, and 1/4.
Remember, when dealing with fractions, it's crucial to find a common denominator to compare them accurately. Once you have the fractions with the same denominator, comparing their numerators will allow you to arrange them in either ascending or descending order.
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