, 24.01.2020leonardkaren41ovlx1q

# You are given a fraction in simplest form. the numerator is not zero. when you write the fraction as a decimal, it is a repeating decimal. which numbers from 1 to 10 could be the denominator.​

You could easily do that yourself, with a pencil, and about the same amount of time it took you to post the question here.

If you go through and try them . . . 1/1,  1/2,  1/3,  1/4, 1/5 . . . etc., you'll find
that the thirds, sixths, sevenths, and ninths produce repeating decimals.
The oneths, tooths, fourths, fifths, eighths, and tenths don't.
If the number is in the tenth place, which h is the first decimal place, it would be over ten. so for example 0.4 would be four tenths. same for the hundred spot, and so on ;)
Hi there! The answer is 3, 6, 7, and 9.
1,2,4,5,8, and 10 cannot be put as denominators because if so, there would be:
1. no decimals
2. termination after one or two decimal places.

Cheers!

You are given a fraction in simplest form. The possible denominators are 3, 6, 7, 9

Solution:

Given that, You are given a fraction in simplest form.

The numerator is not zero. When you write the fraction as a decimal, it is a repeating decimal.

We have to find which numbers from 1 to 10 could be the denominator

Now, let us check each number by considering the numerator as 1

Then,

⇒ non repeating

⇒ non repeating

⇒ repeating

⇒ non repeating

⇒ non repeating

⇒ repeating

⇒ repeating

⇒ non repeating

⇒ repeating

⇒ non repeating

If we want to test with any other numerator. Suppose 5, then numerator is 5 x 1, which means 5 divided by denominator equals with 5 x 1 divided by denominator. So its again product of the numerator we want and above values, then, non repeating stays non repeating and repeating stays repeating.

Hence, the possible denominators are 3, 6, 7, 9

3, 6, 7, 9

Explanation:

If your denominator was 1, you would have whole numbers, not repeating decimals.

If your denominator was 2, you would have halves.  These do not repeat.

If your denominator was 4, you would have 0.25 or 0.75.

If your denominator was 5, you would have 0.2, 0.4, 0.6, or 0.8.

If your denominator was 8, you would have 0.125, 0.375, 0.625, or 0.875.

If your denominator was 10, you would have 0.1, 0.3, 0.7, or 0.9.

However, if your denominator is 3, you would have repeating 3's or 6's.  If your denominator was 6, you would have a 1 with a repeating 6 or an 8 with repeating 3's.  If your denominator was 7, you would have repeating 0.142857, repeating 0.285714, repeating 0.428571, repeating 0.571428, repeating 0.714285, or repeating 0.857142.  If your denominator was 9, you would have repeating 1's, 2's, 4's, 5's, 7's, or 8's.

3, 6, 9

Step-by-step explanation:

When changing a fraction to a decimal, you divide the numerator by the denominator. For EX.

1/3= 1 divided by 3

1 divided by 3 is 0.3333333333333

1/6

1 divided by 6 is 1.6666666666666

1/9

1 divided by 9 is 0.1111111111111111111111

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