Math, asked by manjunathaswamys2004, 1 year ago

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Without actual division check whether 54/60 terminating or non terminating decimal expansion.​

Answers

Answered by SakshiRao36
3

it is terminating because all factors of 54/60 are 2 , 3,5 .

if 60 is divided only by 2 n 5 then this is terminating.

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may this helps u..


AbhijithPrakash: 54/60 is terminating
ravikumar3240: your answer is wrong.
ravikumar3240: it is a terminating decimal expansion.
Answered by AbhijithPrakash
15

Answer:

Terminating

Step-by-step explanation:

For terminating decimal the prime factorisation of denominator should only contain the factor 2 or factor 5 or both factors 2 and 5. 

Prime Factorisation of denominator containing factors 2 & any other number or factors 5 & any other number or faciors 2,5 & any other  number are non terminating decimals.

Here,

\frac{54}{60} is a terminating decimal since the prime factorisation of 60 contains the factors  2, 3 & 5 i.e., 60 = 2 X 3 X 5 X 2

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