Question

perform the indicated operation. Express your answer in simplest form:
9/48 + 4/54

Answer 1

when adding or subtracting fraction, first and foremost, make sure that the denominators are same.
in this case, they are 48 and 54; not same
to make them same, we use their least common multiple (LCM).
now, tell me what the LCM for 48 and 54 is..

Answer 2

2592?

Answer 3

no, 2592 is a common fact but not the least one

Answer 4

\[
48=\underline{2}\times2\times2\times2\times\underline{3}\\
54=\underline{2}\times\underline{3}\times3\times3\\
{\rm LCM}=2\times2\times2\times2\times3\times3\times3=?
\]

Answer 5

432

Answer 6

yes. but also, if you notice, there is a short cut for this problem.
\[
{9\over48}+{4\over54}={\cancel{3}\times3\over\cancel{3}\times16}+{\cancel{4}\over\cancel{4}\times16}\\
={3\over16}+{1\over16}={3+1\over6}={4\over16}={4\over4\times4}=\boxed{\displaystyle{1\over4}}
\]

Answer 7

\[\begin{align}
{9\over48}+{4\over54}&={\cancel{3}\times3\over\cancel{3}\times16}+{\cancel{4}\over\cancel{4}\times16}\\
&={3\over16}+{1\over16}&\mbox{we got common denominator!! yay!}\\&={3+1\over6}\\&={4\over16}\\&={4\over4\times4}\\&=\boxed{\displaystyle{1\over4}}
\end{align}\]

Answer 8

kapeesh?

Answer 9

kapeesh lol thanks ! :)

Answer 10

now, you want to try using the LCM of 48 and 54?

Answer 11

sure

Answer 12

ok, then why do you show me step by step and I guide ya

Answer 13

9/48 + 4/54 = 432?

Answer 14

no.