Is 11/24 terminating or decimal

1) Find the denominator of 11/24 in its lowest form.

The greatest common factor (GCF) of 11 and 24 is 1. Convert 11/24 to its simplest form by dividing the numerator and denominator by its GCF:

11 ÷ 1

24 ÷ 1

 =  

11

24

Thus, the denominator of 11/24 in its lowest form is 24.

2) Find the prime factors of the answer in Step 1.

The prime factors of 24 are all the prime numbers that you multiply together to get 24. The prime factors of 24 are:

2 x 2 x 2 x 3

3) Determine if 11/24 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:

11/24

= non-terminating