Math, asked by Dikshabhargav6142, 8 months ago

Is 2/30 terminating decimal? Why

Answers

Answered by Anonymous
11

Answer:

NON TERMINATING....

Step-by-step explanation:

The greatest common factor (GCF) of 2 and 30 is 2. Convert 2/30 to its simplest form by dividing the numerator and denominator by its GCF:

2 ÷ 2

30 ÷ 2

=

1

15

Thus, the denominator of 2/30 in its lowest form is 15.

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

The prime factors of 15 are all the prime numbers that you multiply together to get 15. The prime factors of 15 are:

3 x 5

3) Determine if 2/30 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 not the case here, which means that our answer is as follows:

2/30

= non-terminating

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