Q&A for How to Order Fractions From Least to Greatest

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How can I tell which fraction is greater?

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Expert Answer

Look for a common denominator between the fractions, then multiply the numerators and denominators by the same value. Then you can see which fraction is greater just by the numerator.

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Question

Which is the lowest: 3/5, 3/4, 4/7, or 2/3?

Jasmine Tipping

Community Answer

4/7 is the lowest, then 3/5, 2/3 and 3/4.

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Can I convert them into decimals while ordering them?

Community Answer

Yes you can, the order will be the same. Just make sure to convert back to fractions for your final answer if the original numbers are given as fractions.

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Question

How do I order fractions from least to greatest if the denominators are different?

Community Answer

Make them the same by multiplying both the numerator and the denominator of the smallest fraction, and if necessary, the largest one as well. For instance if you have 1/5 and 3/7, they are equivalent to 7/35 and 15/35 [ (7*1)/(7*5) and (5*3)/(5*7).

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How can I put 2/3, 4/5, and 1/2 from least to greatest?

Community Answer

The smallest fraction is 1/2, then 2/3, then 4/5.

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I have two equal fractions in a set. How should I arrange them?

Donagan

Top Answerer

If you're ordering from least to greatest (or vice versa), list the equal fractions consecutively. You might want to list the fraction with the smaller denominator first, but it really wouldn't make any difference in terms of value.

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Question

How can I arrange 1/5, 2/3, and 5/8 from least to greatest?

LyKaxandra Caimoy

Community Answer

You can try dividing it (or converting to decimal). Then you can start arranging it ascending. Also, you can try to find its LCD. If you do so, you will get 120. The fractions then will be 24/120, 80/120, and 75/120. If arranged: 24/120, 75/120, 80/120 or "1/5, 5/8, 2/3"

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What is an easy way of ordering fractions with the same numerator?

Donagan

Top Answerer

Look at the denominators. The fraction with the smaller denominator has a value greater than the fraction with the larger denominator.

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How do I find out the percentage of the fraction?

Community Answer

To use an example, use 3 over 5, so take the top number and divide it by the bottom number and multiply it by 100. That will give you the percentage.

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What do I do if my answers don't match?

LyKaxandra Caimoy

Community Answer

Do it again to be sure of your answer.

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Question

How do I do it with a mixed number, for example 8 2/3?

WOOHP

Community Answer

26/3

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Question

How do I order fractions from least to greatest with same denominators?

Community Answer

If same denominator, then the greater numbers have greater value.for example: 2/8 is greater than 1/8.

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Can I convert them to a percentage ?

Community Answer

Yes, and you could convert them to decimals, too, which is roughly the same thing.

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How can I put 3/4, 4/3, and 1 from least to greatest?

Donagan

Top Answerer

That's pretty easy, because 3/4 is less than 1, and 4/3 is more than 1.

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Question

Sort the fractions in the correct order from least to greatest:1/3,2/3,2/5,3/4,5/9.

Community Answer

The lowest common denominator is (4)(5)(9) = 180. So the fractions convert to 60/180, 120/180, 72/180, 135/180 and 100/180, respectively. Re-order them to 60/180, 72/180, 100/180, 120/180 and 135/180. That means the least-to-greatest order is 1/3, 2/5, 5/9, 2/3 and 3/4.

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How do you arrange these fractions from greatest to least: 9/12 8/10 4/6 3/5?

Community Answer

First find the lowest common denominator. That's 60. (See Find the Least Common Denominator .) Then the fractions become, respectively, 45/60, 48/60, 40/60, and 36/60. In descending order, they are 48/60, 45/60, 40/60 and 36/60. That means the original fractions in descending order are 8/10, 9/12, 4/6 and 3/5.

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Question

Which is the lowest: 3/7, 1/3, 7/12, 4/15 or 3/13?

Community Answer

It becomes easier if we can eliminate any of those fractions by inspection. 7/12 is the only fraction with a value greater than ½, so we eliminate 7/12. Now we have to convert the other fractions to equivalent fractions with the same denominator so we can easily compare them. The lowest common denominator among those four remaining fractions is (7)(15)(13) = 1365. (We don't include the 3, because 3 is a factor of 15 and is thus already included.) So the four fractions become 585/1365, 455/1365, 364/1365 and 315/1365, respectively. The lowest of those is 315/1365, so the lowest of the original fractions is 3/13.

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What is the common denominator of 5, 3 and 4?

I_l1ke_gam3s

Community Answer

The common denominator of 5, 3 and 4 is the same as their common multiple or the product of the three numbers, which is 60. (In this case that is also the lowest common denominator.)

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What is the line set of 5/8,3/8,1/8 from smallest to biggest

Community Answer

When comparing fractions that have the same denominator, simply compare numerators. Thus, arranging from smallest to largest, it's 1/8, 3/8, 5/8.

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Which fraction is the smallest: 3/4, 1/6, 7/12 or 2/3?

Community Answer

First convert all the fractions to equivalent fractions with the same denominator. Then compare the new numerators. The equivalent fractions are 9/12, 2/12, 7/12 and 8/12, respectively. Of these fractions, 2/12 is the smallest, so 1/6 is the smallest of the original fractions.

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What is the least fraction: 1/3, 1/5 and 4/6?

Community Answer

We know that 1/3 = 2/6. We know that 2/6 is less than 4/6. So we can eliminate 4/6. That leaves 1/3 and 1/5. Using the lowest common denominator, 1/3 = 5/15, and 1/5 = 3/15. 3/15 is less than 5/15, so 3/15 or 1/5 is the least fraction.

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Arrange from least to greatest: 12/, 4/5, 3/4, 2/3.

Community Answer

Let's assume you meant 1/2, 4/5, 3/4 and 2/3. First find the lowest common denominator. (See Find the Least Common Denominator .) It's 60. So we convert the fractions to 30/60, 48/60, 45/60 and 40/60, respectively. The new fractions, arranged from least to greatest, are 30/60, 40/60, 45/60 and 48/60. That means the original fractions, arranged from least to greatest, are 1/2, 2/3, 3/4 and 4/5.

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Question

How are 6/8, 6/5, 6/7, 6/15, 6/2 ordered from greatest to least?

Community Answer

When two fractions' numerators are the same, the one with the smaller denominator is the greater fraction. So it's 6/2, 6/5, 6/7, 6/8, 6/15.

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How do I change a top-heavy fraction to a mixed fraction?

I_l1ke_gam3s

Community Answer

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number of the mixed number, and if there is a remainder, that becomes the numerator in the mixed number's fraction. The denominator remains unchanged.

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Which fraction is the greatest? 3/4, 1/2, 3/5, 2/3

I_l1ke_gam3s

Community Answer

Find the least common multiple between 4, 2, 5, and 3. That's 60. You'd get 45/60, 30/60, 36/40, and 40/60. The highest is 3/4.

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Is this the only easy way to arrange fractions?

I_l1ke_gam3s

Community Answer

It's kind of hard to arrange the fractions unless they have the same denominator. If you're comparing fractions that have the same numerator, the ones that have lesser denominators have higher values than the other.

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How do you arrange this set of fractions from greatest to least: 7/8, 3/4, 8/9, 4/7?

Community Answer

The first challenge is to find the lowest common denominator for these fractions. In this case the LCD is the product of all four denominators: 2016. Next you find the four new numerators. In each case you divide 2016 by the old denominator and then multiply that quotient by the old numerator. For example, with the 7/8, 2016 ÷ 8 = 252. (7)(252) = 1764. So 7/8 becomes the equivalent fraction 1764/2016. In the same way we find that 3/4 = 1512/2016, 8/9 = 1792/2016 and 4/7 = 1152/2016. We arrange these new fractions from greatest to least: 1792/2016, 1764/2016, 1612/2016 and 1152/2016. That means the original fractions are arranged from greatest to least this way: 8/9, 7/8, 3/4, 4/7.

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Which is smallest: 6/7, 3/7 or 2/3?

I_l1ke_gam3s

Community Answer

Ignore the first fraction: it's obviously not the smallest. Convert the other two to equivalent fractions with denominators of 21. Then compare those two fractions. The one with the lowest numerator is the smallest fraction.

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is 6/8 greater than 1/3 2/10 and 3/6?

Community Answer

6/8 reduces to 3/4, 2/10 reduces to 1/5, 3/6 reduces to 1/2, and 1/3 doesn't reduce. Now find the lowest common denominator of 2, 3, 4, and 5. That would be 60. Convert the fractions to ones with a denominator of 60: 45/60, 20/60, 12/60, and 30/60. The greatest of those (45/60) is the equivalent of 6/8. So the answer to the question is yes.

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How do you arrange 2/3, 5/8, 3/4, 7/8 and 1/2 from least to greatest?

I_l1ke_gam3s

Community Answer

Find the lowest common denominator. It's 24. You have 16/24, 15/24, 18/24, 21/24 and 12/24. So your order is 1/2, 5/8, 2/3, 3/4 and 7/8.

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