Question

After how many places will the decimal expansion of 21/24 terminate

Answer 1

Answer:

the decimal expansion of $\frac{21}{24}$ terminate is by 3 decimal places.

Step-by-step explanation:

Here, $\frac{21}{24} = \frac{7}{8} = \frac{7}{2^{3} }$

So, The denominator of the given fraction is the highest power of prime factor 2 is 3, therefore, the decimal expansion of the rational number that is

$\frac{7}{2^3}$ will terminate after 3 decimal places.

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