124k views
5 votes
Is the fraction 11/20 a repeting and termnating decimal?

2 Answers

6 votes

Answer:

11/20 is a terminating decimal.

Explanation:

1) Find the denominator of 11/20 in its lowest form.

The greatest common factor (GCF) of 11 and 20 is 1. Convert 11/20 to its simplest form by dividing the numerator and denominator by its GCF: The denominator of 11/20 in its lowest form is 20.

11 ÷ 1 / 20 ÷ 1 = 11 / 20

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

The prime factors of 20 are all the prime numbers that you multiply together to get 20. The prime factors of 20 are:

2 x 2 x 5

3) Determine if 11/20 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:

11/20 = terminating.

Hope this helps.

User Jason Rae
by
7.3k points
4 votes

Answer:

it is terminating

Explanation:

User Naskoos
by
7.2k points