Question

After how many places the decimal expension of 153/450 terminates

Answer 1

Step-by-step explanation:

To Find :- After how many places the decimal expansion of 153/450 terminates ?

Solution :-

(153/450) can be written as ,

\begin{gathered}\rightarrow\sf \: \frac{153}{450} \\ \\\rightarrow\sf \: \frac{9 \times 17}{9 \times 50} \\ \\ \rightarrow\sf \: \frac{17}{50} \\ \\ \rightarrow\sf \: \frac{17 \times 2}{50 \times 2} \\ \\ \rightarrow\sf \: \frac{34}{100} \\ \\ \rightarrow\sf \boxed{0.34}\end{gathered}

→

450

153

→

9×50

9×17

→

50

17

→

50×2

17×2

→

100

34

→

0.34

therefore, we can conclude that, the decimal expansion of given rational number is 0.34 and it will terminate after two decimal places