Is 24/30 a terminating decimal?

Here we will show you how to determine if 24/30 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 24/30 (24 ÷ 30) is terminating or non-terminating.

Here are the steps to determine if 24/30 is a terminating decimal number:

1) Find the denominator of 24/30 in its lowest form.
The greatest common factor (GCF) of 24 and 30 is 6. Convert 24/30 to its simplest form by dividing the numerator and denominator by its GCF:

		24 ÷ 6
		30 ÷ 6

		4
		5

Thus, the denominator of 24/30 in its lowest form is 5.

2) Find the prime factors of the answer in Step 1.
The prime factors of 5 are all the prime numbers that you multiply together to get 5. The prime factors of 5 are:

5

3) Determine if 24/30 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 the case here, which means that our answer is as follows:

24/30
= terminating

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Is 24/31 a terminating decimal?
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