To compare two or more fractions, first we should have the denominators same.
Order the numbers from least to greatest.
Problem 1 :
4/25, 2/9, 1/6
Solution :
By comparing the denominators of the fractions, they are not same.
LCM (9, 6, 25) = 450
(4/25) x (18/18) ==> 72/450
(2/9) x (50/50) ==> 100/450
(1/6) x (75/75) ==> 75/450
Comparing the
fractions 100/450, 75/450 and 72/450 the denominators are same now.
Least to greatest :
72/450 < 75/450 < 100/450
4/25 < 1/6 < 2/9
Problem 2 :
11/24, 3/7, 9/21
Solution :
LCM (7, 24, 21) = 168
(11/24) x (7/7) ==> 77/168
(3/7) x (24/24) ==> 72/168
(9/21) x (8/8) ==> 72/168
Comparing the fractions 72/168, 77/168 and 72/168 the denominators are same.
Least to greatest:
72/168 = 72/168 < 77/168
3/7 = 9/21 < 11/24
Problem 3 :
7/20, 5/12, 3/8
Solution :
LCM (20, 8, 12) = 120
(7/20) x (6/6) ==> 42/120
(5/12) x (10/10) ==> 50/120
(3/8) x (15/15) ==> 45/120
Comparing the fractions 42/120, 45/120 and 50/120 the denominators are same.
Least to greatest:
42/120 < 45/120 < 50/120
7/20 < 3/8 < 5/12
Problem 4 :
19/40, 2/5, 21/45
Solution :
LCM (5, 40, 45) = 360
(19/40) x (9/9) ==> 171/360
(2/5) x (72/72) ==> 144/360
(21/45) x (8/8) ==> 168/360
Comparing the fractions 144/360, 171/360 and 168/360 the denominators are same.
Least to greatest:
144/360 < 168/360 < 171/360
2/5 < 21/45 < 19/40
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM