Which of the following decimal form of rational numbers is a terminating type ?
13/5
2/11
11/6
13/6
Answers
Answer:
2/11
Step-by-step explanation:
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Step-by-step explanation:
ected Jul 26, 2020 by Navin01
i. Denominator = 5 = 1 x 5
Since, 5 is the only prime factor denominator.
The decimal form of the rational number 13/5 will be terminating type.
ii. Denominator = 11 = 1 x 11
Since, the denominator is other than prime factors 2 or 5.
∴ the decimal form of the rational number 2/11 will be non-terminating recurring type.
iii. Denominator = 16 = 2 x 2 x 2 x 2
Since, 2 is the only prime factor in the denominator.
∴ the decimal form of the rational number 29/16 will be terminating type.
iv. Denominator = 125 = 5 x 5 x 5
Since, 5 is the only prime factor in the denominator.
The decimal form of the rational number 17/125 will be terminating type.
v. Denominator = 6 = 2 x 3
Since, the denominator is other than prime factors 2 or 5.
∴ the decimal form of the rational number 11/6 will be non-terminating recurring type.