without actual division determine which of the following are terminating or recurring hence find the decimal expression of 54/56
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Answer:
example of the same
Step-by-step explanation:
We know that q/p is terminating if p and q are
co-prime and q is of the form 2m5n
; where m and n are non-negative integers.
(A) 3/25
Checking co-prime-
Since 3 and 25 have no common factors, hence 3 and 25 are co-prime.
Now,25=5×5=52
∴ Denominator=52=1×52=20×52
∴ Denominator is of the form 2m5n , where m = 0 and n = 2.
Hence,253is a terminating decimal.