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

1. anonymous

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2. anonymous

do i simplfy ?

3. anonymous

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. anonymous

yea one min

5. anonymous

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6. anonymous

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. anonymous

does that make sense?

8. anonymous

so 5/12 stays the same ?

9. anonymous

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. anonymous

now we can solve for y

11. anonymous

ok im re writing it

12. anonymous

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13. anonymous

i got stuck

14. anonymous

$\frac{4}{12}y+\frac{3}{12}=\frac{5}{12}$ 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. anonymous

4/12y =2/12

16. anonymous

yes!

17. anonymous

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

18. anonymous

multiply ?

19. anonymous

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

20. anonymous

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. anonymous

the 1st one

22. anonymous

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

23. anonymous

$\frac{4}{12}y=\frac{2}{12}$ 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. anonymous

is it 2 ? :D

25. anonymous

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

26. anonymous

2 .....

27. anonymous

$y=\frac24$

28. anonymous

:( i was close

29. anonymous

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

30. anonymous

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

31. anonymous

ohhh ok lol

32. anonymous

1/2

33. anonymous

$y=\frac12$ very good!