Question

Is 5/6 a terminating or a non terminating
decimal?

Answer 1

It is terminating because its denominator has all the factors of 2.

Answer 2

Answer:

$\frac{5}{6}$ is a nonterminating decimal.

Step-by-step explanation:

Explanation:

• A rational number is only terminating when its denominator can be represented in form of $2^{a}$ $5^b$ and when (a, b) ∈ W otherwise wise it is a nonterminating decimal.

• Rational number - A rational number can be stated mathematically as the ratio or fraction $\frac{p}{q}$ of two numbers, where p and q are the numerator and denominator, respectively.

Step 1:

We have, $\frac{5}{6}$

Factor of 6 = 2 × 3

So, the denominator has a factor of 3 which is other than 2 and 5.

This means that, $\frac{5}{6}$ is a nonterminating decimal.

Final answer:

Hence, $\frac{5}{6}$ is a nonterminating decimal.

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