Question

The fraction 13584 /125 will terminate after
(a) two decimal places (c) three decimal places

(b) four decimal places (d) one decimal places​

Answer 1

Answer:

Option C ... tree decimal places

Step-by-step explanation:

lcm of 125 i.e denominator is 5×5×5 highest power is three ... answer will be it will terminate after 3 decimal places

Answer 2

Given,

Fraction $\[ = \frac{{13584}}{{125}}\]$

Solution,

Convert fraction into decimal form,

$\[ = \frac{{13584}}{{125}}\]$

$\[ = 108.672\]$

Observe the decimal number it terminate after decimal. It terminate after three decimal places.

Hence the correct option is (c), i.e.  three decimal places.