Question

Can someone please help me to answer this math question? Please? I will fan and give a medal...
Please help me to simplify this Rational Expression -
5x x 7x
--- + --- + ---
4 6 12

Answer 1

hint:
what is the minimum common factor?

Answer 2

@karim728 could you help me?
I know the LCM is 12 and I need to multiply the top by 2 right?

Answer 3

next you have to compute these quantities:
\(12/4=...\)
\(12/6=...\)
\(12/12=...\)

Answer 4

so 12/4=3
12/6=2
12/12=1?

Answer 5

correct!
so, you have to multiply the first numerator by \(3\), the second numerator by \(2\), and the third numerator by \(1\), what we get, is then:
\[\frac{{5x}}{4} + \frac{x}{6} + \frac{{7x}}{{12}} = \frac{{\left\{ {\left( {5x} \right) \cdot 3} \right\} + \left( {x \cdot 2} \right) + 7x}}{{12}} = ...?\]
please simplify

Answer 6

wait so
turn this
{(5x)*3} + (x*2)+7x
-----------------
12
into this
(15x)+(x^2)+7x
--------------
12

Answer 7

we have \(2 \cdot x= 2x\)

Answer 8

namely:
\[\begin{gathered}
\frac{{5x}}{4} + \frac{x}{6} + \frac{{7x}}{{12}} = \frac{{\left\{ {\left( {5x} \right) \cdot 3} \right\} + \left( {x \cdot 2} \right) + 7x}}{{12}} = \hfill \\
\hfill \\
= \frac{{15x + 2x + 7x}}{{12}} = ...? \hfill \\
\end{gathered} \]

Answer 9

so, what is:
\[{15x + 2x + 7x}=... \]

Answer 10

24x?

Answer 11

correct!
and what is:
\[\frac{{24}}{{12}} = ...?\]

Answer 12

1/2?

Answer 13

are you sure?
\(24/12=...?\)

Answer 14

hint:
I think that \(24/12=2\), am I right?

Answer 15

oh sorry, yes its 2

Answer 16

correct! So the final result is \(2x\):
\[\begin{gathered}
\frac{{5x}}{4} + \frac{x}{6} + \frac{{7x}}{{12}} = \frac{{\left\{ {\left( {5x} \right) \cdot 3} \right\} + \left( {x \cdot 2} \right) + 7x}}{{12}} = \hfill \\
\hfill \\
= \frac{{15x + 2x + 7x}}{{12}} = 2x \hfill \\
\end{gathered} \]

Answer 17

Awesome!!! thank you so much!!!

Answer 18

:)