Algebra
10 Online
OpenStudy (anonymous):
Patterns with Fractions
-write a rule for the sequence. then find the unknown term.
1 3/8 , 1 3/4 , 2 1/8 , __________ , 2 7/8
Rule:
please help
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OpenStudy (anonymous):
find 1 3/4 - 1 3/8
OpenStudy (anonymous):
how do you do that
OpenStudy (anonymous):
ok, first what is 1 3/4 as one fraction?
OpenStudy (anonymous):
18/16
OpenStudy (anonymous):
nope
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OpenStudy (anonymous):
think of the 1 as 4/4
OpenStudy (anonymous):
so it should be 4/4 + 3/4
OpenStudy (anonymous):
what is that?
OpenStudy (anonymous):
7/8
OpenStudy (anonymous):
but why 4/4 ? how did you get that
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OpenStudy (anonymous):
no, you don't add the denominators
OpenStudy (anonymous):
4/4 is the same as 1
OpenStudy (anonymous):
7/4
OpenStudy (anonymous):
if the numerator equals the denominator, it equals 1
OpenStudy (anonymous):
that's right
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OpenStudy (anonymous):
ok, what is 1 3/8?
OpenStudy (anonymous):
so its 3/8 + 4/4
? right
OpenStudy (anonymous):
no, it's 3/8 + 8/8
OpenStudy (anonymous):
9/8
OpenStudy (anonymous):
no, what's 3+8
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OpenStudy (anonymous):
sorry 11/8
OpenStudy (anonymous):
ok, so we have 7/4 - 11/8
OpenStudy (anonymous):
we need to find a common denominator
OpenStudy (anonymous):
what times 4 equals 8?
OpenStudy (anonymous):
its 2
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OpenStudy (anonymous):
so we multiply 7/4 by 2
OpenStudy (anonymous):
this gives us 14/8
OpenStudy (anonymous):
what's (14-11)/8?
OpenStudy (anonymous):
14-11=?
OpenStudy (anonymous):
3
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OpenStudy (anonymous):
3/8
OpenStudy (anonymous):
That's the difference between each term
OpenStudy (anonymous):
we know that the rule is that you add 3/8 to get the next term
OpenStudy (anonymous):
17/8 + 3/8 =
OpenStudy (anonymous):
solve that to get the missing term
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OpenStudy (anonymous):
20/8
OpenStudy (anonymous):
right?
OpenStudy (anonymous):
yep
OpenStudy (anonymous):
now you have to reduce it
OpenStudy (anonymous):
2 1/5 ?
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OpenStudy (anonymous):
no
OpenStudy (anonymous):
The 2 is right though
OpenStudy (anonymous):
20-16=?
OpenStudy (anonymous):
4
OpenStudy (anonymous):
ya so we get 2 4/8
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OpenStudy (anonymous):
The 4/8 can be reduced again to 1/2
OpenStudy (anonymous):
so the answer is 2 1/2
OpenStudy (anonymous):
oh okay Thank you Very much :)
OpenStudy (anonymous):
no problem
OpenStudy (anonymous):
wait how did you get "
17/8 + 3/8 ="
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OpenStudy (anonymous):
2 1/8 is 17/8 and 3/8 is what we needed to add to that term to get the unknown
OpenStudy (anonymous):
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