answer the following question
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LCM = 168
5/7 = 5/7 × 24/24
= 120/ 168
3/8 = 3/8 × 21/21
= 63/168
9/14 = 9/14 × 12/12
= 108/168
20/21 = 20/21 × 8/8
= 160/168
∴ Ascending order = 3/8 < 9/14 < 5/7 <20/21
5/7 = 5/7 × 24/24
= 120/ 168
3/8 = 3/8 × 21/21
= 63/168
9/14 = 9/14 × 12/12
= 108/168
20/21 = 20/21 × 8/8
= 160/168
∴ Ascending order = 3/8 < 9/14 < 5/7 <20/21
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i)
5/7 , 3/8 , 9/14 , 20/21
Here denomianators are 7,8,14 and 21.
LCM of denominators=168
5/7=120/168
3/8=63/168
9/14=108/168
20/21=160/168
Now ascending order=63/168, 108/168, 120/168, 160/168
Hence ascending order of given fractions,
3/8 , 9/14 , 5/7 , 20/21.
ii)
Given fractions,
13/18 , 8/15 , 17/24 , 7/12.
Here denominators are 18,15,24 and 12
LCM of denominators=360
13/18=260/360
8/15=192/360
17/24=255/360
7/12=210/360
Ascending order=192/360 , 210/360 , 255/360 , 260/360
Hence ascending order of given fractions,
8/15 , 7/12 , 17/24 , 13/18.
5/7 , 3/8 , 9/14 , 20/21
Here denomianators are 7,8,14 and 21.
LCM of denominators=168
5/7=120/168
3/8=63/168
9/14=108/168
20/21=160/168
Now ascending order=63/168, 108/168, 120/168, 160/168
Hence ascending order of given fractions,
3/8 , 9/14 , 5/7 , 20/21.
ii)
Given fractions,
13/18 , 8/15 , 17/24 , 7/12.
Here denominators are 18,15,24 and 12
LCM of denominators=360
13/18=260/360
8/15=192/360
17/24=255/360
7/12=210/360
Ascending order=192/360 , 210/360 , 255/360 , 260/360
Hence ascending order of given fractions,
8/15 , 7/12 , 17/24 , 13/18.
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