Question

which of the following is terminating decimal -------- a)1/3 b)11/27 c)1/6 d)5/8​

Answer 1

Answer:

d is the correct answer.

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which of the following is terminating decimal

$\displaystyle \sf{a) \: \: \frac{1}{3} }$

$\displaystyle \sf{b) \: \: \frac{11}{27} }$

$\displaystyle \sf{c) \: \: \frac{1}{6} }$

$\displaystyle \sf{d) \: \: \frac{5}{8} }$

CONCEPT TO BE IMPLEMENTED

$\displaystyle \sf{Fraction = \: \frac{Numerator}{Denominator} }$

The decimal representation of a fraction is said to be terminating if 2 & 5 are the only prime factors in the prime factorisation of the denominator

EVALUATION

$\displaystyle \sf{a) \: \: \frac{1}{3} }$

Since 3 is the prime number present in the denominator

So the decimal representation is non terminating

$\displaystyle \sf{b) \: \: \frac{11}{27} }$

Here the denominator is 27

27 = 3 × 3 × 3

Since 3 is the prime number present in the denominator

So the decimal representation is non terminating

$\displaystyle \sf{c) \: \: \frac{1}{6} }$

Here the denominator is 6

6 = 2 × 3

Since 3 is the prime number present in the denominator

So the decimal representation is non terminating

$\displaystyle \sf{d) \: \: \frac{5}{8} }$

Here the denominator is 8

8 = 2 × 2 × 2

Since 2 is the only prime number present in the denominator

So the decimal representation is terminating

FINAL ANSWER

Hence the correct option is

$\displaystyle \sf{d) \: \: \frac{5}{8} }$

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