without activate division find which of the following rational number and denominator decimal13/80
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The answer for the decimal 13/80 is 0.162&
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hey mate here is your answer☺️☺️
We know that if the denominator of a rational number has no prime factors other than 2 or 5, then it is expressible as a terminating, otherwise it has non - terminating repeating decimal representation. Thus, we will have to check the prime factors of the denominators of each of the given rational numbers.
In , the denominator is 80.
We have, 80 = 2 × 2 × 2 × 2 × 5.
Thus, 80 has only 2 and 5 as prime factors.
Hence, must have a terminating decimal representation.
∴ Terminating decimal representation of = 0.1625
Hope it helps you✌️✌️
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