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Mathematics 7 Online
OpenStudy (anonymous):

Hi, I need help adding and subtracting fractions. 1/2+3/4+5/8=

OpenStudy (anonymous):

When adding and subtracting fractions you want to get a common denominatour. Do you know how to do that?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

It is called the least common denominatour. Basically what it is, is you want the same number on bottom on all of the fractions. To get this, you must find the smalles number that all the fractions can multiply into.

OpenStudy (anonymous):

For this problem, all three fractions can multiply into 8

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

And what you do to the bottom of a fraction, you must do to the top. What multiplies by 2 to get 8?

OpenStudy (anonymous):

4

OpenStudy (anonymous):

So for the fraction 1/2 you must multiply both the one and two by 4. What does the fraction become?

OpenStudy (anonymous):

4/8

OpenStudy (anonymous):

perfect! Do you have any idea what to do to the 3/4?

OpenStudy (anonymous):

not sure 12/16

OpenStudy (anonymous):

remember. you are shooting for an 8 as the denominatour. so what do you multiply 4 by to get eight?

OpenStudy (anonymous):

6/8

OpenStudy (anonymous):

yes! Now that you have all of the denominatours the same, all you have to do is add the top numbers and keep the 8 the same. try that

OpenStudy (anonymous):

4/8+6/8+5/8

OpenStudy (anonymous):

15/8

OpenStudy (anonymous):

that is right! Do you want to try one more problem like this?

OpenStudy (anonymous):

Thank you, yes please

OpenStudy (anonymous):

okay try this: 2/4+7/16+3/8 Do you know what number the bottom will be? (remember, you want a number where all the bottom number will be the same)

OpenStudy (anonymous):

16

OpenStudy (anonymous):

yes, so can you figure out what to multiply everything by so all the bottom numbers are 16? (remember, what you do to the bottom, you must do to the top)

OpenStudy (anonymous):

I do not remember sorry

OpenStudy (anonymous):

you have 2/4, 7/16, and 3/8 7/16 doesn't change. but what do you multiply four by to get 16?

OpenStudy (anonymous):

4

OpenStudy (anonymous):

so multiply both the bottom and top by four

OpenStudy (anonymous):

14/28

OpenStudy (anonymous):

Are you sure? Try again

OpenStudy (anonymous):

12/64

OpenStudy (anonymous):

What is 4 times 4? remember, we are working with fraction 2/4 right now

OpenStudy (anonymous):

16

OpenStudy (anonymous):

2/4

OpenStudy (anonymous):

so we multiply 4x4 to get 16. But what we do to the bottom.. We must do to the top. So you multiply 2x4

OpenStudy (anonymous):

do you have the answer?

OpenStudy (anonymous):

sorry my computer froze

OpenStudy (anonymous):

8/16

OpenStudy (anonymous):

yes. So now we have 8/16, 7/16, and 3/8. What do you think we do to the last fraction to make it like the other two?

OpenStudy (anonymous):

multiply 3*8 which is 24/16

OpenStudy (anonymous):

Not exactly. remember, the goal is to get ALL the bottom numbers 16. What time 8 is 16?

OpenStudy (anonymous):

2

OpenStudy (anonymous):

yes, so you multiply both the bottom and top by 2. What do you get?

OpenStudy (anonymous):

3/16

OpenStudy (anonymous):

what you do to the bottom, you must do to the top. What is your new fraction?

OpenStudy (anonymous):

3/32

OpenStudy (anonymous):

Thanks for you help I have to get off the computer now.

OpenStudy (anonymous):

Your bottom number was right when it was 16. your top one isn't right. you multiplied 8*2 to get sixteen, so you MUST MUST MUST multiply your top number by 2

OpenStudy (anonymous):

ok. good bye

OpenStudy (anonymous):

okay, thank you so much for all your time

OpenStudy (anonymous):

No problem! I hope you figure this stuff out :-)

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