Question

Why 113/112 is non terminating decimal number

Answer 1

Answer:

Its non terminating.

Step-by-step explanation:

Any fraction is said to be terminating if the fraction is in the form:-

$\frac{a}{ {5}^{n} \times {2}^{m} }$

where a,n,m are integer.

Example :-

2/7 is not terminating because deniminator is not in form of 5^n×2^m

5/2 is terminating because it can be written as

$\frac{5}{ {2}^{1} \times {5}^{0} }$

Now to the question 113/112 can be written as

$\frac{113}{16 \times 7} = \frac{113}{ {2}^{4} \times 7}$

here denominator has 7 which make it non terminating.

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