Is 25/19 a terminating decimal?

Here we will show you how to determine if 25/19 is a terminating decimal or a non-terminating decimal.

A terminating decimal is a decimal number that has a finite number of decimals and does not go on indefinitely. We want to know if the decimal number you get when you divide the fraction 25/19 (25 ÷ 19) is terminating or non-terminating.

Here are the steps to determine if 25/19 is a terminating decimal number:

1) Find the denominator of 25/19 in its lowest form.
The greatest common factor (GCF) of 25 and 19 is 1. Convert 25/19 to its simplest form by dividing the numerator and denominator by its GCF:

		25 ÷ 1
		19 ÷ 1

		25
		19

Thus, the denominator of 25/19 in its lowest form is 19.

2) Find the prime factors of the answer in Step 1.
The prime factors of 19 are all the prime numbers that you multiply together to get 19. The prime factors of 19 are:

19

3) Determine if 25/19 is terminating
A fraction is a terminating decimal if the prime factors of the denominator of the fraction in its lowest form only contain 2s and/or 5s or no prime factors at all. This is not the case here, which means that our answer is as follows:

25/19
= non-terminating

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