Question

without division show after how many places of decimal expansions of 51/150 will terminate..
please help, I will mark best answer as brainlist..

Answer 1

Hey there! don't worry i will help you.

$= \frac{51}{150} \\ = \frac{17}{50} \\ = \frac{17}{5 \times 5 \times 2} \\ = \frac{17}{ {5}^{2} \times 2} \\ = \frac{17}{ {5}^{2} \times 2 } \times \frac{2}{2} \\ = \frac{34}{ {5}^{2} \times {2}^{2} } \\ = \frac{34}{ {10}^{2} } \\ = \frac{34}{100} \\ = 0.34$
hence, 51/150 will terminate after 2 places of decimal.

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