arrange these fractions from smallest to largest: 1/8 15/64 15/16 7/32?

2008-05-28 3:39 pm

回答 (6)

2008-05-28 3:44 pm
✔ 最佳答案
1/8=8/64
15/64=15/64
15/16=60/64
7/32=14/64

1/8, 7/32, 15/64, 15/16
2008-05-28 3:53 pm
1/8 , 15/64 , 15/16 , 7/32

8 = 2 x 2 x 2
16 = 2 x 2 x 2 x 2
32 = 2 x 2 x 2 x 2 x 2
64 = 2 x 2 x 2 x 2 x 2 x 2
----------------------------------
The LCM of 8,16,32,64 is:
2 x 2 x 2 x 2 x 2 x 2
= 64

1/8 = 8/64
15/64 = 15/64
15/16 = 60/64
7/32 = 14/64

∵ 8/64 < 14/64 < 15/64 < 60/64
∴ 1/8 < 7/32 < 15/64 < 15/16
2008-05-28 3:46 pm
1/8 15/64 15/16 7/32 are 8/64, 15/64, 60/64, 14/64 in increasing order 8/64 < 14/64 < 15/64 < 60/64
or 1/8 < 7/32 < 15/64 < 15/16.
2008-05-28 3:45 pm
Get all 4 fractions to a denominator of 64:

1/8 = 8/64
15/64
15/16 = 60/64
7/32 = 14/64

Smallest to largest is obvious now: 1/8, 7/32, 15/64, 15/16
2008-05-28 3:44 pm
1/8, 7/32, 16/64, 15/16
2008-05-28 3:43 pm
1/8 = 8/64
15/64=15/64
15/16=60/64
7/32=14/64
Now compare the Nr.s as you have equal denominators.


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