Question

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 1 to 10 could be the denominator, PLEASE HELP!!!!!

Answer 1

The correct answer is:

3, 6, 7, 9

Step-by-step 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.

Answer 2

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.