To compare two or more fractions, first we should have the denominators same.
Problem 1 :
1/4, 2/7
Solution :
By considering the denominator (4 and 7), they are not same. So, we will take the least common multiple.
LCD (4, 7) = 28
= (1/4) x (7/7) ==> 7/28
= (2/7) x (4/4) ==> 8/28
Now we can compare the fractions 7/28 and 8/28 since the denominators are same.
8/28 > 7/28
2/7 > 1/4
Compare fractions and decide which is greater fraction :
Problem 2 :
2/3, 5/8
Solution :
By considering the denominator (3 and 8), they are not same. So, we will take the least common multiple.
LCD (3, 8) = 24
(2/3) x (8/8) ==> 16/24
(5/8) x (3/3) ==> 15/24
Now we can compare the fractions 7/28 and 8/28 since the denominators are same.
16/24 > 15/24
2/3 > 5/8
Problem 3 :
7/10, 11/15
Solution :
By considering the denominator (10 and 15), they are not same. So, we will take the least common multiple.
LCD (10, 15) = 30
= (7/10) x (3/3) ==> 21/30
= (11/15) x (2/2) ==> 22/30
Now we can compare the fractions 21/30 and 22/30 since we can compare the denominators are same.
22/30 > 21/30
11/15 > 7/10
Problem 4 :
3/5, 6/11
Solution :
By considering the denominator (5 and 11), they are not same. So, we will take the least common multiple.
LCD (5, 11) = 55
(3/5) x (11/11) ==> 33/55
(6/11) x (5/5) ==> 30/55
Now we can compare the fractions 33/55 and 30/55 since we can compare the denominators are same.
33/55 > 30/55
3/5 > 6/11
Problem 5 :
5/12, 4/15
Solution :
By considering the denominator (12 and 15), they are not same. So, we will take the least common multiple.
LCD (12, 15) = 60
(5/12) x (5/5) ==> 25/60
(4/15) x (4/4) ==> 16/60
Now we can compare the fractions 25/60 and 16/60 since we can compare the denominators are same.
25/60 > 16/60
5/12 > 4/15
Problem 6 :
7/20, 9/25
Solution :
By considering the denominator (20 and 25), they are not same. So, we will take the least common multiple.
LCD (20, 25) = 100
(7/20) x (5/5) ==> 35/100
(9/25) x (4/4) ==> 36/100
Now we can compare the fractions 35/100 and 36/100 since the denominators are same.
36/100 > 35/100
9/25 > 7/20
Problem 7 :
5/18, 8/21
Solution :
By considering the denominator (18 and 21), they are not same. So, we will take the least common multiple.
LCD (18, 21) = 126
= (5/18) x (7/7) ==> 35/126
= (8/21) x (6/6) ==> 48/126
Now we can compare the fractions 35/126 and 48/126 since the denominators are same.
48/126 > 35/126
8/21 > 5/18
Problem 8 :
11/42, 20/63
Solution :
By considering the denominator (42 and 63), they are not same. So, we will take the least common multiple.
LCD (42, 63) = 126
(11/42) x (3/3) ==> 33/126
(20/63) x (2/2) ==> 40/126
Now we can compare the fractions 33/126 and 40/126 since the denominators are same.
40/126 > 33/126
20/63 > 11/42
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM