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

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.

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

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.

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).

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

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.

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"

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

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.

Do it again to be sure of your answer.

26/3

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

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

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

This is easy since all the denominators are the same. In a case like this, all you do is look at the numerators. Least to greatest is 3/11, 4/11, 9/11. (If the numerators are all the same and the denominators are different, a fraction with a lower denominator has a higher value.)

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.

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.

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.)

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.