## PaigeMya 3 years ago Solve for the variable in this equation. x/2+1/4=3/4

1. TomLikesPhysics

First subtract 1/4 from both sides. Than multiply both sides by 2 and you got your variable.

2. PaigeMya

I dont know how to subtract from both sides

3. Romero

what's 1/4 - 1/4

4. PaigeMya

0

5. Romero

great you did the left side now lets do the right side whats 3/4 - 1/4

6. PaigeMya

-1/4

7. Romero

hmm when adding or subtracting fraction you need to add or subtract the top number. what's 3 - 1 ?

8. PaigeMya

2

9. Romero

great the top number is 2 and the bottom stays the same. 2/4 Thats what you get. ok now you have x/2 = 2/4 (remember the left side you canceled the 1/4 ) now multiply both sides.

10. Romero

whats x/2 times 2

11. PaigeMya

4

12. Romero

well no it's actually (2x)/2 ... the 2s in both the top and bottom will cancel so you are left with just x now on the right side you do the same 2/4 times 2 = (2*2)/4 Whats 2 times 2?

13. PaigeMya

4

14. Romero

ok whats 4/4

15. PaigeMya

16

16. Romero

umm not your multiplied it but we want to divide. try again 4 divided by 4?

17. PaigeMya

oh 1

18. Romero

great so the right side is 1

19. Romero

and the left side is x

20. Romero

x=1

21. PaigeMya

Oh thx

22. amogh

Sorry to interrupt you guys, How old are you PaigeMya?

23. PaigeMya

Y

24. Romero

Age doesn't matter....

25. Romero

That's a creepy question @amogh

26. PaigeMya

Yeah why do you want to know my age?

27. amogh

Oh don't take me wrong. Just wanted to know because everyone needs different treatment , clarification needed. And yeah Age doesn't matter, you're right, but that's the best I could ask concerning what I wanted.

28. PaigeMya

Okay well im ten

29. PaigeMya

Can i also just ask another question right now for you guys to help me with?

30. Romero

It's not about the age but the level of math you are taking.

31. amogh

Sure

32. amogh

@Romero Exactly, but how can someone answer to that?

33. PaigeMya

Thanks, find the lowest common denominator that would eliminate the fractions in this equation. 8/9x+2/3x=1/9x+45

34. Romero

By the type of question they asked. Someone can ask a linear algebra question and they can be a freshman in college.

35. Romero

Which fraction has the lowest top number (numerator)?

36. PaigeMya

1

37. PaigeMya

1/9

38. Raya_Atour

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39. Raya_Atour

so x = 1

40. PaigeMya

@Raya_Atour im sorry but i dont think thats the answer...

41. Romero

@Raya_Atour That's not the question.

42. amogh

You might rather ask to yourself, what number should I multiply this equation with to get rid of all the fractions (denominators)

43. Romero

It would be 3 if we can get 1/9 to have a 3 in the bottom but we can't because 1/9 is the most simplified version so 9 has to be the lowest.

44. PaigeMya

okay

45. PaigeMya

So now what @Romero

46. Romero

Well you found the number that will cancel out the fractions. Now you have to multiply 9 to both sides.

47. PaigeMya

both sides of what @Romero

48. amogh

the equation

49. PaigeMya

Can someone just give me the answer just this once because im doing this just to learn not to study im only ten andill figure out how to get the answer later im tired

50. amogh

51. PaigeMya

52. amogh

Oh its 9

53. PaigeMya

oh thx

54. amogh

Don't try to get a direct answer, that might not help you in the long run ;) just an advice! Straining makes you more better!