Question

I need help: Simplify 1/4(8m - 4n) +1/3 (6m + 3n).

Answer 1

factor both denominators

Answer 2

all it asks is to simplify, i don't know how to do it

Answer 3

Multiply 4(8m-4n) and 3(6m+3n)

Answer 4

i just wanted to make sure it look like the way i wrote it earlier .... and NOT:
\[\frac 14 (8m-4n) + \frac 13(6m+3n)\]

Answer 5

@jewjewbri ?

Answer 6

@jewjewbri could you clarify, does your expression look like the first one or the second one?

Answer 7

the second one

Answer 8

then it is much easier:

what is the common factor of (8m-4n)

Answer 9

2?

Answer 10

a/c+b/d=ad+cb/cd

Answer 11

\[\large 8m+4n= 2(4m+2n) = \dots\]

keep going ... there is still some thing in common left

Answer 12

If the question look like the first one.

Answer 13

8m+4n=8m+2n

Answer 14

we are simplifying:\[\Large \frac 14 (8m-4n) + \frac 13(6m+3n)\]

all right @jewjewbri let's try this another way...
Are you familiar with the distributive property?

Answer 15

no

Answer 16

Hey for the fist expression you can factor ou as (8m-4n)= 4(2m-n). It will be more simple

Answer 17

\[\large a(b+c) = ab+ ac\]

Answer 18

And the second, using the distribuitive property got (6m+3n)=3(2m+n)

Answer 19

You got (6m+3n)=3(2m+n)

Answer 20

Make some algebric now jewjewbri.

Answer 21

6m+3n=6m+3n

Answer 22

try it another way:
\[\frac 14 \left( 8m-4n \right)=\frac14\cdot8m-\frac14\cdot 4n=...\]

instead of doing one-fourth of the whole thing do 1 fourth of the parts...

Answer 23

what is : \[\frac 14 \cdot 8m = {8m \over 4}=???\]

Answer 24

Great tip.

Answer 25

Just make the division of 8 by 4. Jewjewbri.

Answer 26

@jewjewbri ?

Answer 27

what is 8 divided by 4? @jewjewbri

Answer 28

2

Answer 29

so, 1-fourth of 8m is \(2m\)...

Answer 30

same way 1-fourth of 4n is \(1n\), or just \(n\)

Answer 31

so,
\[\large \frac 14 \left( 8m-4n \right)=\color{green}{2m-n}\]

Answer 32

you can do the second part the same way yourself:
\[\large \frac 13 \left( 6n+3n \right)=\]

Answer 33

2m+n