## rawrrainbowsz2 2 years ago 1/3y + 1/4 =5/12

1. rawrrainbowsz2

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2. rawrrainbowsz2

do i simplfy ?

3. JenniferSmart1

you would need common denominators, before you do anything. Do you know how to do that? I can walk you through it if you're not familiar with that

4. rawrrainbowsz2

yea one min

5. rawrrainbowsz2

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6. JenniferSmart1

almost So it's $\frac{4}{12}y+\frac{3}{12}=\frac{5}{12}$ because $\frac44\cdot \frac{1}{3}y+\frac33 \cdot \frac{1}{4}=\frac{5}{12}$

7. JenniferSmart1

does that make sense?

8. rawrrainbowsz2

so 5/12 stays the same ?

9. JenniferSmart1

yes because it already has the common denominator of 12. We're trying to make it so that all the numbers have 12 on the bottom

10. JenniferSmart1

now we can solve for y

11. rawrrainbowsz2

ok im re writing it

12. rawrrainbowsz2

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13. rawrrainbowsz2

i got stuck

14. JenniferSmart1

$\frac{4}{12}y+\frac{3}{12}=\frac{5}{12}$ ok now we need to get $\frac3{12}$ over to the right hand side of the equal sign so subtract $\frac3{12}$ from both sides $\frac{4}{12}y+\cancel{\frac{3}{12}-\frac3{12}}=\frac{5}{12}-\frac3{12}$

15. rawrrainbowsz2

4/12y =2/12

16. JenniferSmart1

yes!

17. JenniferSmart1

now we need to get the y out of the denominator. do you know how to do that?

18. rawrrainbowsz2

multiply ?

19. JenniferSmart1

wait, is y in the denominator or is it just like this: $\frac4{12}y =\frac2{12}$

20. JenniferSmart1

was this the original equation? $\frac{4}{12}y+\frac{3}{12}=\frac{5}{12}$ or this $\frac{4}{12y}+\frac{3}{12}=\frac{5}{12}$ ?

21. rawrrainbowsz2

the 1st one

22. JenniferSmart1

sorry i've been mistyping let's try that again LOL

23. JenniferSmart1

$\frac{4}{12}y=\frac{2}{12}$ now we can multiply both sides by $\frac{12}1$ to get rid of the 12 in the denominator because we don't need it anymore. It makes it easier to solve for y this way so $\frac{12}1 \cdot \frac{4}{12}y=\frac{12}1 \cdot \frac{2}{12}$

24. rawrrainbowsz2

is it 2 ? :D

25. JenniferSmart1

almost so we're left with 4y=2 so what does y=?

26. rawrrainbowsz2

2 .....

27. JenniferSmart1

$y=\frac24$

28. rawrrainbowsz2

:( i was close

29. JenniferSmart1

because we have to divide by 4 to get y by itself

30. JenniferSmart1

Yep you were almost there! so now you just need to simplify $\frac24$

31. rawrrainbowsz2

ohhh ok lol

32. rawrrainbowsz2

1/2

33. JenniferSmart1

$y=\frac12$ very good!