the fraction 5/8 is found between which pair of fraction on a number line
a 8/16 and 21/32
b 9/16 and 19/32
c 10/16 and 24/32
d 11/16 and 24/32
Answers
Given :- The fraction 5/8 is found between which pair of fraction on a number line
a 8/16 and 21/32
b 9/16 and 19/32
c 10/16 and 24/32
d 11/16 and 24/32
Solution :-
checking all options by making the denominator same we get,
A) 8/16 and 21/32
→ 8/16 , 5/8 , 21/32
→ (16, 20, 21)/32
since
→ 20 is between 16 and 21
therefore, the fraction (5/8) is lies between 8/16 and 21/32 .
checking next options also,
B) 9/16 and 19/32
→ 9/16 , 5/8 , 19/32
→ (18, 20, 19)/32
since 20 doesn't lies between 18 and 19 .
C) 10/16 and 24/32
→ 10/16 , 5/8 , 24/32
→ (20, 20, 24)/32
since 20 doesn't lies between 20 and 24 .
D) 11/16 and 24/32
→ 11/16 , 5/8 , 24/32
→ (22, 20, 24)/32
since 20 doesn't lies between 22 and 24 .
hence, we can conclude that, the fraction (5/8) is lies between 8/16 and 21/32
(A) is correct answer .
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Given : fraction 5/8
To Find : fraction 5/8 is found between which pair of fraction on a number line
a 8/16 and 21/32
b 9/16 and 19/32
c 10/16 and 24/32
d 11/16 and 24/32
Solution
fraction 5/8 = 20/32
8/16 and 21/32
= 16/31 and 21/32
Hence 20/32 lies in between
Hence fraction 5/8 lies in between 8/16 and 21/32
9/16 and 19/32
= 18/32 and 19/32 => 20/32 does not lie in between
10/16 and 24/32
20/32 and 24/32 => 20/32 does not lie in between
11/16 and 24/32
22/32 and 24/32 => 20/32 does not lie in between
Hence fraction 5/8 lies in between 8/16 and 21/32
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