## rainbow_rocks03 one year ago Plz explain how to do this NO direct answers plz! will medal for best response.

1. anonymous

hi

2. rainbow_rocks03

i am putting the question down plz be patient, TY!

3. rainbow_rocks03

4. rainbow_rocks03

PLZ explain no direct answers!

5. rainbow_rocks03

@kimbllse777

6. anonymous

you need to change both fractions to a common denominator to do addition (and subtraction). What is the least common multiple of 6 and 8?

7. rainbow_rocks03

do you mean LCD or LCM cause its been saying LCD

8. anonymous

for this purpose, they're pretty much the same thing

9. rainbow_rocks03

oh ok, i thought so

10. rainbow_rocks03

So the LCD of 6 and 8 is 24?

11. anonymous

right

12. anonymous

hi

13. rainbow_rocks03

stop saying hi plz.

14. anonymous

so now you have to multiply the fractions by 1 in other forms to change them. multiply 1/6 by 4/4 and mulitply 3/8 by 3/3.$\frac{ 1\times4 }{ 6\times4 }+\frac{ 3\times3 }{ 8\times3 }$

15. anonymous

that will give you 24 in both denominators

16. rainbow_rocks03

1*4=4 & 3*3=9

17. anonymous

yes, so you have 4/24 + 9/24 =

18. rainbow_rocks03

Now I add the numerators together?

19. anonymous

yes

20. rainbow_rocks03

so 4+9=13

21. anonymous

right

22. anonymous

23. rainbow_rocks03

13/24 ?

24. anonymous

yep :)

25. rainbow_rocks03

TY for the help @peachpi !!! :D

26. anonymous

you're welcome

27. anonymous

the reason this works is because once the two values are expressed with a common denominator, that fraction can be factored out. it leaves a simple addition of whole numbers which can be added and then multipled by the factor to yield a single value: $\frac{ 1 }{ 6 }+\frac{ 3 }{ 8 }=\frac{ 1 }{ 6 }\cdot \frac{ 4 }{ 4 }+\frac{ 3 }{ 8 }\cdot \frac{ 3 }{ 3 }=\frac{ 4 }{ 24}+\frac{ 9 }{ 24 }=\frac{ 1 }{ 24 }\left( 4+9 \right)=\frac{ 1 }{ 24 }\left( 13 \right)=\frac{ 13 }{ 24 }$

28. rainbow_rocks03

can you help with another cause im still kinda not used to it. :/

29. rainbow_rocks03

@peachpi ?