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OpenStudy (anonymous):
you mean 18/15 - 27/5? if so it equals 4.2 or 21/5
OpenStudy (yuki):
is it\[18 {1 \over 15} - 9 {3 \over 5}\]
?
OpenStudy (anonymous):
yes yuki
OpenStudy (yuki):
mixed numbers are fairly easy when you understand that it can also be changed into an equivalent improper fraction
OpenStudy (anonymous):
ooh 271/15 - 48/5 = 31/5 ? lol i think
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OpenStudy (anonymous):
which is 6 5/1
OpenStudy (yuki):
for example,
\[18 {1 \over 15}= 18 + {1 \over 15}\]
so
\[{18*15+1 \over 15} = {217 \over 15}\]
OpenStudy (yuki):
you do the same thing with the other fraction,
but before we do that, we need to make the denominator common.
so instead of
\[9 {3 \over 5}\] we will use
\[9 {9 \over 15}\]
which as an improper fraction, is
\[{9*15+9 \over 15} = {144 \over 15}\]
OpenStudy (anonymous):
Who elsee gott daht?
OpenStudy (yuki):
now if you subtract them,
\[{217 - 144 \over 15} = {73 \over 15}\]
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OpenStudy (yuki):
if you need it as a mixed number,
73 / 15 = 4 remainder 13
so
\[4 {13 \over 15}\]