After how many decimal places the decimal expansion of 51/150 will ter

1.	After how many decimal places the decimal expansion of 51/150 will terminate
Answer» The decimal expansion $\frac{51}{150}$ will terminate after 2 decimal places. Step-by-step EXPLANATION: To find : After how many decimal places the decimal expansion of 51/150 will terminate ? SOLUTION : The decimal expansion is terminating when the DENOMINATOR is in the form of $2^n\times 5^m$ otherwise it is non-terminating. Factor the denominator, $\dfrac{51}{150}=\dfrac{51}{2\times3\times 5 \times5}$ $\dfrac{51}{150}=\dfrac{17}{2\times 5^2}$ The denominator is in the required form so it is terminating. $\dfrac{51}{150}=\dfrac{17\times 2}{2^2\times 5^2}$ $\dfrac{51}{150}=\dfrac{34}{10^2}$ $\dfrac{51}{150}=0.34$ The decimal expansion $\frac{51}{150}$ will terminate after 2 decimal places. #Learn more The decimal expansion of the rational number 33/22.5 will TERMINATES after How many places of decimal brainly.in/question/8036392