Question

Find the decimal expansion of
17
25​

Answer 1

Explanation:

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 17/25 (17 ÷ 25) is terminating or non-terminating.

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Is 17/25 a terminating decimal?

Terminating Decimal

Here we will show you how to determine if 17/25 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 17/25 (17 ÷ 25) is terminating or non-terminating.

Here are the steps to determine if 17/25 is a terminating decimal number:

1) Find the denominator of 17/25 in its lowest form.

The greatest common factor (GCF) of 17 and 25 is 1. Convert 17/25 to its simplest form by dividing the numerator and denominator by its GCF:

17 ÷ 1

25 ÷ 1

=

17

25

Thus, the denominator of 17/25 in its lowest form is 25.