## rannsan Group Title Write the algebraic equation of: Five-sixths of a number is -60. What is the number? 2 years ago 2 years ago

1. SUROJ Group Title

$(5\div60)x =-60$

2. waterineyes Group Title

Five sixths of a number means: Let the number be x.. So Five sixths of this number x will be : $$\frac{5}{6} \; of \;x = \frac{5}{6}x$$

3. waterineyes Group Title

This is given equal to -60.. So: $\frac{5}{6}x = -60$ Now here you have to find x..

4. waterineyes Group Title

Getting this much @rannsan

5. rannsan Group Title

I am trying to follow

6. waterineyes Group Title

Read the question and tell me what is that you are not understanding?? Is question clear to you or not ??

7. rannsan Group Title

it is clear I am following you I am just confused as to how to find what x is.

8. waterineyes Group Title

You have to get rid of 5/6 there.. Can you multiply both the sides by 6??

9. SUROJ Group Title

just multiply -60 with 6 and divide by 5

10. waterineyes Group Title

$\frac{5}{6}x \times 6= -60 \times 6$

11. rannsan Group Title

(-60)6 and divide by 5?

12. waterineyes Group Title

Can you solve that I have written above ??

13. rannsan Group Title

NO

14. waterineyes Group Title

Can't you cancel 6 with 6 on Left hand side ??

15. rannsan Group Title

5X = -60?

16. waterineyes Group Title

No.. You have to multiply 6 with -60.. On Right hand side why you cancelled 6 ??

17. rannsan Group Title

oops I misunderstood that one

18. waterineyes Group Title

$\frac{5x}{\cancel{6}} \times \cancel{6} = -60 \times 6$ $5x = -360$ Now divide by 5 both the sides to get x..

19. rannsan Group Title

$5x \times = -60 \times 5x = -360 20. rannsan Group Title I am still not following 21. waterineyes Group Title Where you lost ?? 22. rannsan Group Title on everything... 23. rannsan Group Title I need step by step once again please. 24. waterineyes Group Title \[\frac{5}{6}x \times 6= -60 \times 6$ Till this are you clear ??

25. rannsan Group Title

(5/6x)6 = -60

26. waterineyes Group Title

Why are not multiplying 6 on right hand side ??

27. rannsan Group Title

I thought I was

28. waterineyes Group Title

Multiplying 6 both sides means you have to multiply 6 on left as well as right hand side.. You have multiplied with left hand side only..

29. rannsan Group Title

oh ok let me see

30. rannsan Group Title

(5/6x)6 = -60x6

31. waterineyes Group Title

Yes..

32. waterineyes Group Title

Now on left hand side you can cancel 6 with bottom 6 right ??

33. rannsan Group Title

(5x)6 = -60x6

34. waterineyes Group Title

Do you know how we cancel things ??

35. rannsan Group Title

no

36. waterineyes Group Title

See: you have cancel one 6 in left hand side.. but how can you cancel one 6?? you can cancel two 6 and that too will be in the form: 6 - 6 you can cancel them. 6/6 here also you can cancel them.. Getting ??

37. waterineyes Group Title

See like this: $\frac{5x}{\cancel{6}} \times \cancel{6} = -60 \times 6$ So you are left with now: $5x = -360$

38. rannsan Group Title

yes

39. waterineyes Group Title

Sure no?? Getting ??

40. rannsan Group Title

I am getting it, writing notes

41. waterineyes Group Title

Now you are just one step away: You just need to divide by 5 both the sides to get rid of 5 attached to x.. can you do that? Both the sides means you will be divide left as well as right hand side by 5.. Show me what you did..

42. waterineyes Group Title

Are you really typing @rannsan

43. rannsan Group Title

5(5x) = (5)-360 25= -360(5) 25=-503.8 Ok I know that is wrong

44. waterineyes Group Title

I think you are multiplying.. I said to divide.. You know what divide means ??

45. rannsan Group Title

You did say divide I was multiplying

46. rannsan Group Title

$5\div5x = 1$

47. rannsan Group Title

$-360\div5$

48. waterineyes Group Title

No you are still doing opposite: $\frac{5x}{5} = \frac{-360}{5}$ Can you do this now ??

49. rannsan Group Title

5x/5 = -360/5

50. waterineyes Group Title

Yes..

51. waterineyes Group Title

Now when you cancel top 5 with bottom 5 you will left with x and not 1.. Right ??

52. rannsan Group Title

x only

53. waterineyes Group Title

Yes.. This is on left hand side.. now can you solve right hand side??

54. rannsan Group Title

x= -360/5

55. rannsan Group Title

I divide the 5 by the -360?

56. waterineyes Group Title

57. waterineyes Group Title

$\frac{-360}{5} = ??$

58. rannsan Group Title

-647.8

59. rannsan Group Title

I know ight isn't right

60. rannsan Group Title

-360/5

61. waterineyes Group Title

$\frac{-360}{5} = -72$

62. rannsan Group Title

-360/5=-72

63. rannsan Group Title

thank you! once again