# Adam wants to compare the fractions 3 12 1 6 1 3 he wants them in order them from least to greatest and rewrite them son they all have the same denominators explain how Adam can rewrite the fractionss

Asked By Nivea On 02/22/2017 22:09

## Answers

I'm assuming the fractions are 3/12, 1/6 and 1/3? (The fractions didn't come up well in the question).
To do this, we find the least common multiple of the denominators, 3,6,12. In general, what we could do is list the multiples of each:
3 - 3, 6, 9, 12, 15, 18...
6 - 6, 12, 18, 24, 30, ...
12 - 12, 24, 36, 48, ...
Here though we're fortunate. Each denominator shares the common factor of 12. So we'll rewrite each fraction over the number 12 instead.
3/12 = 3/12, we don't need to change it.
1/6 * 2/2 = 2/12. Since we multiplied by 2/2 = 1, we haven't actually changed the value of the fraction. We just wrote it a different way. All I've done is figured out, "what do I multiply by to make the bottom number 12?" Since we're starting with 6, we need to multiply by 2 to get there.
1/3*4/4 = 4/12.
So now our fractions are 3/12, 2/12 (which was 1/6), and 4/12 (which was 1/3). Writing them in order, 2/12, 3/12, 4/12.
So the size of the original fractions, in order from smallest to largest, was 1/6, 3/12, 1/3.

Answered On 02/23/2017 18:49

Answered On 02/23/2017 18:49

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