First estimate the answer. Then subtract to find the exact answer. 12 2/9 - 7 7/15 =
but i have to round each first
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OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
what does 12 2/9 round to?
OpenStudy (anonymous):
11right
jimthompson5910 (jim_thompson5910):
close, but no
OpenStudy (anonymous):
10
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jimthompson5910 (jim_thompson5910):
now you're getting further away
OpenStudy (anonymous):
its 12 sorry
jimthompson5910 (jim_thompson5910):
7 7/15 rounds to what?
OpenStudy (anonymous):
stays the same
jimthompson5910 (jim_thompson5910):
so it rounds to 7?
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OpenStudy (anonymous):
yes
jimthompson5910 (jim_thompson5910):
good
jimthompson5910 (jim_thompson5910):
so
12 2/9 - 7 7/15
turns into
12 - 7 = 5
OpenStudy (anonymous):
ok
jimthompson5910 (jim_thompson5910):
that's the estimated answer
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jimthompson5910 (jim_thompson5910):
any ideas on how to get the exact answer?
OpenStudy (anonymous):
yeah it askes for that too and no i dont know how to do this math
jimthompson5910 (jim_thompson5910):
did you see how I did the last problem?
OpenStudy (anonymous):
yes but i get confused im not good with with multiplication
jimthompson5910 (jim_thompson5910):
do you know how to find the LCD?
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OpenStudy (anonymous):
yes common factors right
of 9 and 15
jimthompson5910 (jim_thompson5910):
ok what is the GCF of 9 and 15?
OpenStudy (anonymous):
45
jimthompson5910 (jim_thompson5910):
that's the LCM, but that's what we wanted anyway
jimthompson5910 (jim_thompson5910):
so we need to get each denominator equal to the LCM
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OpenStudy (anonymous):
ok
jimthompson5910 (jim_thompson5910):
So we do this
\[\large 12 \frac{2}{9} - 7 \frac{7}{15}\]
\[\large 12 \frac{2*5}{9*5} - 7 \frac{7*3}{15*3}\]
\[\large 12 \frac{10}{45} - 7 \frac{21}{45}\]
jimthompson5910 (jim_thompson5910):
what's next?
OpenStudy (anonymous):
we subtract it right
jimthompson5910 (jim_thompson5910):
not yet
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jimthompson5910 (jim_thompson5910):
we need to convert over to improper fractions
OpenStudy (anonymous):
ok
jimthompson5910 (jim_thompson5910):
so what do you get when you do so?
OpenStudy (anonymous):
dont we multiply the whole number with the denominator and then add the numerator
jimthompson5910 (jim_thompson5910):
good, you are correct
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jimthompson5910 (jim_thompson5910):
so do that for each mixed number
OpenStudy (anonymous):
550/45- 336/45 right?
jimthompson5910 (jim_thompson5910):
very good
jimthompson5910 (jim_thompson5910):
now subtract
jimthompson5910 (jim_thompson5910):
this is now possible because we have 2 fractions (with no whole parts) and the denominators are the same
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OpenStudy (anonymous):
214/45 right?
jimthompson5910 (jim_thompson5910):
now convert that back to a mixed number
OpenStudy (anonymous):
ok i dont know how to do that dont i divide 45 by 214
jimthompson5910 (jim_thompson5910):
since 214/45 = 4.75555555555556 (use a calculator)
this means the quotient is 4
take the decimal part 0.75555555555556 and multiply it by 45 to get 0.75555555555556*45 = 34.0000000000002 which is practically 34
so the remainder is 34
-------------------------------------------------------
214/45 = 4 remainder 34
so...
\[\large \frac{214}{45} = 4\frac{34}{45}\]
jimthompson5910 (jim_thompson5910):
and that means
\[\large 12 \frac{2}{9} - 7 \frac{7}{15} = 4\frac{34}{45}\]
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OpenStudy (anonymous):
oh okay thank you can you help me with two morte
jimthompson5910 (jim_thompson5910):
yeah sure, but I have to do something real quick, so I'll brb