HOW TO CHECK WHICH FRACTION IS GREATER
On the webpage, how to check which fraction is greater we are going to see example problems to understand how to know which fraction is bigger.
How to check which fraction is greater?
Whenever we have two or more fractions and we want to find which fraction is greater, first we have to consider the denominators of given fractions.
Case 1 :
If the denominators are same then we can decide the fraction which is having greater numerator is the greater fraction.
Case 2 :
If the denominators are different then we have to make the denominators same by taking L.C.M and multiplication.
Example of comparing fractions with same denominators
Example 1 :
Find which fraction is greater?
3/7 or 8/7
Solution :
Example of comparing fractions with different denominators
Example 2 :
Find which fraction is greater?
3/8 or 5/12
Solution :
Hence, 5/12 is greater.
More examples
Example 3 :
Find which fraction is greater?
2/3 or 4/7
Solution :
Since the denominators are different, we have to take L.C.M
L.C.M = 21
(2/3) x (7/7) = 14 / 21
(4/7) x (3/3) = 12 / 21
Now the denominators are same. So, we can compare
14 is greater than 12.
Hence, (2/3) is greater than (4/7).
Example 4 :
Find which fraction is greater?
1/3 or 4/8
Solution :
Since the denominators are different, we have to take L.C.M
L.C.M = 24
(1/3) x (8/8) = 8 / 24
(4/8) x (3/3) = 12 / 24
Now the denominators are same. So, we can compare
12 is greater than 8.
Hence, (4/8) is greater than (1/3).
Example 5 :
Find which fraction is greater?
7/15 or 3/45
Solution :
Since the denominators are different, we have to take L.C.M
L.C.M = 45
(7/15) x (3/3) = 21 / 45
(3/45) x (1/1) = 3 / 45
Now the denominators are same. So, we can compare
21 is greater than 3.
Hence, (7/15) is greater than (3/45).
Example 6 :
Find which fraction is greater?
2/17 or 3/34
Solution :
Since the denominators are different, we have to take L.C.M
L.C.M = 34
(2/17) x (2/2) = 4 / 34
(3/34) x (1/1) = 3 / 34
Now the denominators are same. So, we can compare
4 is greater than 3.
Hence, (2/17) is greater than (3/34).
Example 7 :
Find which fraction is greater?
5/7 or 2/9
Solution :
Since the denominators are different, we have to take L.C.M
L.C.M = 63
(5/7) x (9/9) = 45 / 63
(2/9) x (7/7) = 14 / 63
Now the denominators are same. So, we can compare
45 is greater than 14.
Hence, (5/7) is greater than (2/9).
Example 8 :
Find which fraction is greater?
4/7 or 3/10
Solution :
Since the denominators are different, we have to take L.C.M
L.C.M = 70
(4/7) x (10/10) = 40 / 70
(3/10) x (7/7) = 21 / 70
Now the denominators are same. So, we can compare
40 is greater than 21.
Hence, (4/7) is greater than (3/10).
Example 9 :
Find which fraction is greater?
1/8 or 3/16
Solution :
Since the denominators are different, we have to take L.C.M
L.C.M = 16
(1/8) x (2/2) = 2 / 16
(3/16) x (1/1) = 3 / 16
Now the denominators are same. So, we can compare
3 is greater than 2.
Hence, (3/16) is greater than (1/8).
Example 10 :
Find which fraction is greater?
6/13 or 3/26
Solution :
Since the denominators are different, we have to take L.C.M
L.C.M = 26
(6/13) x (2/2) = 2 / 26
(3/26) x (1/1) = 3 / 26
Now the denominators are same. So, we can compare
3 is greater than 2.
Hence, (3/26) is greater than (6/13).
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