Question

I need help ordering fractions.

3/4, 2/5, 5/8, 7/10

Answer 1

Get the least common denominator for all of the fractions. You'll need factors of 2,2,2, and 5 in the denominator.

Answer 2

Ok so would it be 10

Answer 3

No, you need 3 2's as factors in the denominator to accommodate the "8", so it would be 40.

Answer 4

oh

Answer 5

Then, you take each fraction and multiply the numerator by whatever you need to multiply the denominator by to get 40.

So, looking at 3/4, you need to multiply the top by 10, because you multiply the bottom (4) by 10 to get 40.

Answer 6

ya and for 2/5 you need to multiply the top by 8.

Answer 7

Once you do that for all the fractions, you can just compare the numerators to see what is the order.

For 2/5, you multiply top and bottom by 8 to get 16/40. The multiplier depends on the denominator.

Answer 8

Just got your last post. Yes. It looks like you're getting this.

Answer 9

ahh ok

Answer 10

thank you so much for your time

Answer 11

another way is change all the fractions to decimals, and compare decimals

Answer 12

Here is another one

3/7, 1/3, 1/2, 9/14

Answer 13

ok

Answer 14

can you please give me an example on that

Answer 15

find decimals involves dividing denominator into numerator.
for you new set of 4 numbers:

7 into 3.0 is 0.42857
1/3 is 0.3333 (people memorize this)
1/2 is 0.50000
9/14 is harder but 0.65... more stuff

Answer 16

using the common denominator idea might be easier.

Answer 17

Converting to decimals is a good alternate way and you should try to do the problem both ways for the practice. As for using fractions, if you want to do the problem that way, you have to get the LCD again. You would get the LCM for 7, 3, 2, and 14. Hint: getting the LCM for 14 will already take care of 2 and 7, so you have to consider 3 along with 14.

Answer 18

ok

Answer 19

Thank you so much for your time.

Answer 20

uw!