Question:
Fractions Question (HELP!)?
question
2010-06-04 23:11:25 UTC
Hi:
I have a question about fractions for school.
The Problem is:
" List the following fractions in order of value from largest to smallest"

The Fractions:
4/3,9 1/2, 3, 0, 7/2, 15 1/8, 32/3, 1/4, 1 1/2, 3 3/4.

These are the answers from Largest to Smallest:

1. 15 1/8
2. 32/3
3. 9 1/2
4. 3 3/4
5.7/2
6. 3
7. 1 1/2
8. 4/3
9. 1/4
10. 0
Can you tell me step-by-step how you came up with this answer I cannot figure out how they came up with these fractions in this order.
THANK YOU!
Five answers:
ωαlκєя112 *falling leaves*
2010-06-04 23:17:03 UTC
1. 15 1/8

2. 32/3 = 10 2/3

3. 9 1/2

4. 3 3/4

5.7/2 = 3 1/2

6. 3

7. 1 1/2 = 1.5

8. 4/3 = 1 1/3 = 1.33

9. 1/4

10. 0
MathPhD
2010-06-05 06:25:14 UTC
Take the first two numbers and put them into the proper order (explained in a moment), then take the next and move it left past each fraction that is larger to get three properly ordered. This can be continued with each until completely done.



To get the first two (or to check the order for any two), first write each as a mixed fraction with an integer and a remaining proper fraction.



So 4/3 = 1 1/3 and 9 1/2 is ok. Compare the integers, then if necessary, the fractions. So these are properly ordered.



The next number is 3 and it moves down so the order is 1 1/3, 3, 9 1/2.



The others needing to be changed to mixed fractions are

7/2 = 3 1/2

32/3 = 10 2/3



The next most complicated comparison would be 3 1/2 vs 3 3/4. With these, the integer is the same (3) so move on to comparing the fraction parts: 1/2 vs 3/4. Cross multiplying is often the easiest way to determine their order: 1*4 vs 3*2, which is 4<6 and indicates that they are in their proper order.
James H
2010-06-05 06:22:23 UTC
Fractions are the same thing as division, so 15 1/8 is equal to 15 + 1/8 which is equal to 15.125.

With a problem 32/3, you just divide 32 by 3 and then add the remainder (10 + 2/3).
Mandy
2010-06-05 06:19:19 UTC
first of all, any fraction whose top is bigger than its bottom is greater that one, and any fraction whose top is smaller than its bottom is less than one. you can start by organizing them that way. from there you have to change them all into fractions from mixed numbers, and then find a common denominator to determine which are the largest and smallest
James
2010-06-05 07:34:05 UTC
you need to find LCM of all fraction and then. You will be able to arrange it in order.



But you're corrected. what you did is already correct.


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