## anonymous 4 years ago How do I rename a fraction?

1. anonymous

|dw:1328111969741:dw|

2. anonymous

This is the problem.

3. anonymous

To convert from a mixed fraction an improper fraction, multiply the whole number and the denominator, then add the numerator

4. anonymous

Then find the lowest common denominator to solve

5. anonymous

Could you draw it for me please?

6. anonymous

$39\frac{1}{7}=\frac{274}{7}$

7. anonymous

$11\frac{5}{6}=\frac{71}{6}$

8. anonymous

to solve, you need to find the LCD; here it is 42. Multiply each numerator by the LCD divided by the denominator

9. anonymous

$\frac{274*6}{42} - \frac{71*7}{42}$

10. anonymous

$=\frac{1147}{42}$ or $27 \frac{13}{42}$

11. anonymous

So can you help me with this last one please? I didn't really understand that....:(

12. anonymous

|dw:1328112550425:dw|

13. anonymous

$39\frac{1}{7} = \frac{39*7+1}{7}$

14. anonymous

Can you convert $68\frac{1}{3}$ to an improper fraction using what I told you?

15. anonymous

Okay. I will try. here it goes.

16. anonymous

|dw:1328112985042:dw|

17. anonymous

that's right, now try the other one

18. anonymous

|dw:1328113186101:dw|

19. anonymous

Yep. Now what is the LCD of 3 and 10?

20. anonymous

30?

21. anonymous

Yep

22. anonymous

So you would multiply 205/3 by what?

23. anonymous

Ummmmm.

24. anonymous

I really don't know!

25. anonymous

You would multiply 205 by 10 because the LCD/denominator is 10, or 10*3=30

26. anonymous

So you'd have $\frac{2050}{30}$

27. anonymous

But the numerator is bigger than the denominator.

28. anonymous

Now what would you multiply 497/10 by?

29. anonymous

3

30. anonymous

Yup

31. anonymous

What would that translate to?

32. anonymous

I don't know. Sorry. :(

33. anonymous

$\frac{497*3}{30}=\frac{1491}{30}$

34. anonymous

Now you can figure out $\frac{1491}{30}+\frac{2050}{30}=?$

35. anonymous

Um, It was minus.

36. anonymous

But the answer to that is 3541/30.

37. anonymous

38. anonymous

Oh yeah! Sorry about that! It is supposed to be a minus sign! -

39. anonymous

the answet is 559/30 Correct?

40. anonymous

So you'd have $\frac{559}{30} or 18\frac{19}{30}$

41. anonymous

Thank you so much! Can you watch me on the next one? it won't take long!

42. anonymous

|dw:1328113984727:dw|

43. anonymous

Okay I will type out the answer.

44. anonymous

39 * 6 + 1 = 235

45. anonymous

14 * 12 + 7 = 175

46. anonymous

And the denominator would be 12 itself!

47. anonymous

yes, the LCD is 12

48. anonymous

So the answer is 295/12 - 174/12 and the answer is = 121/12

49. anonymous

Where are 295 and 174 coming from?

50. anonymous

And the final answer is: 10 8/12 = 5 4/6

51. anonymous

|dw:1328114480972:dw|

52. anonymous

Remember you have this worked out so far: $\frac{235}{6}-\frac{175}{12}$

53. anonymous

You found the LCD, but you still have to multiply 235 by a number to express it in terms of that LCD.

54. anonymous

What number is that?

55. anonymous

2

56. anonymous

Yes, so now your new fraction is?

57. anonymous

470/12

58. anonymous

So,$\frac{470}{12}-\frac{175}{12}$

59. anonymous

295/12

60. anonymous

61. anonymous

So what about the whole numbers? Do I just subtract them?

62. anonymous

The whole numbers? You mean to convert to a mixed fraction?

63. anonymous

Oh nevermind! I know what I have to do with them. ;)

64. anonymous

Your final answer would be $24\frac{7}{12}$

65. anonymous

Okay thank you so much! One more please?

66. anonymous

Ok, post it and show the work. I'll let you know if you go wrong

67. anonymous

Okay!

68. anonymous

Remember when you find the LCD to multiply the numerator by a factor

69. anonymous

|dw:1328115211253:dw|

70. anonymous

|dw:1328115329692:dw|

71. anonymous

|dw:1328115396858:dw|

72. anonymous

The LCD is 10

73. anonymous

So,

74. anonymous

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75. anonymous

|dw:1328115676081:dw|

76. anonymous

Looking good so far