Question

Check whether 17/150 is terminating or non terminating without actual division

Answer 1

here denominator q is not in the form of 2^n×5^m
therefore it will have non terminating repeating decimal expansion

Answer 2

Answer:

$\frac{17}{150}$ is a non-terminating decimal

Step-by-step explanation:

Required to find,

The fraction $\frac{17}{150}$ is terminating or non-terminating without actual division.

Recall the concept

A fraction in simplest form is said to be terminating if  the denominator of the fraction has no prime factors other than 2 and 5

Solution:

Given fraction is  $\frac{17}{150}$

The denominator of the fraction = 150

The prime factors of 150 = 2 × 3 × 5 × 5

Since the 150 has prime factors other than 2 and 5, the fraction  $\frac{17}{150}$ is a non-terminating decimal.

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