## anonymous one year ago Simplify

1. anonymous

$\frac{ 5 }{4} .\frac{ 22 }{ 25 }$

2. anonymous

11/10 110/100 27/29 1 1/10

3. anonymous

@ganeshie8 @ParthKohli

4. UsukiDoll

what is 5 x 22? what is 4 x 25?

5. anonymous

110 and 100

6. anonymous

@Mimi_x3

7. UsukiDoll

oh hey sorry about the wait we can reduce this fraction further $\frac{110}{100}$ what is 110 divided by 10 and what is 100 divided by 10

8. anonymous

11 and 10

9. UsukiDoll

yes so your simplified fraction is $\frac{11}{10}$

10. anonymous

ow do u divide fractions

11. UsukiDoll

dividing fractions doesn't exist you have to flip the second fraction and you'll end up multiplying instead.

12. UsukiDoll

|dw:1439371095956:dw|

13. UsukiDoll

|dw:1439371122278:dw|

14. anonymous

I said divide

15. UsukiDoll

yeah I know, but dividing fractions doesn't exist.. you have to flip the second fraction and then use multiplication. did you see the example I've drawn?

16. UsukiDoll

|dw:1439371215666:dw|

17. UsukiDoll

the flipped version of 4/5 is 5/4 then use multiplication |dw:1439371260995:dw|

18. UsukiDoll

though for this particular problem, we were just asked to simplify (as in reduce the fractions) , so $\frac{11}{10}$ is the final answer

19. anonymous

i know i just have a question on how to divide two fractions if i were given the problem

20. UsukiDoll

see this https://www.mathsisfun.com/fractions_division.html in the examples, they are flipping the second fraction and using multiplication .

21. UsukiDoll

|dw:1439371470932:dw|

22. anonymous

oh ok

23. anonymous

or cross divide or o it the same way

24. UsukiDoll

no just multiply straight away numerator x numerator ------------------------ denominator x denominator

25. UsukiDoll

|dw:1439371566510:dw|

26. UsukiDoll

but we can't leave it like that because this fraction can be reduced by dividing both numbers by 2 |dw:1439371617570:dw|

27. anonymous

thnx

28. anonymous

wait why did you divide by 2 on both sides

29. UsukiDoll

6 and 2 are both even numbers.... they are also divisible by 2 6 divided by 2 is 3 3 x 2 = 6 similarly 2 divided by 2 is 1 1 x 2 = 2

30. UsukiDoll

so the fraction after I reduced would be 3/1 or just 3 3 divided by 1 is just 3 that whole number

31. anonymous

so you divide both sides by the number the two are divisible by

32. UsukiDoll

6 is divisible by 2 2 is divisible by 2 so we can divide further until we can't divide anymore 3/1 is the closest I can obtain the simplified fraction. I can't find a common divisible number.

33. Jhannybean

Man...I wish I could get that chrome app working on my browser too. Too bad it disables.

34. UsukiDoll

another example is 6/18 6 is divisible by 6 18 is divisible by 6 6 divided by 6 is 1 18 divided by 6 is 3 so 6/18 in simplified for is 1/3 6 is also divisible by 3 18 is also divisible by 3 but we have to take more steps 6 divided by 3 is 2 18 divided by 3 is 6 2/6 I can simplify further 2 is divisible by 2 6 is divisible by 2 2 divided by 2 is 1 6 divided by 2 is 3 1/3 although I've obtained the same result, using smaller numbers takes too much time.

35. UsukiDoll

I used a bigger number and got a simplified fraction in a step vs using smaller numbers but I'm getting fractions that are still reducible, so I have to reduce further... now I took a bunch of steps. In a timed test, it's a better idea for me to use bigger numbers.

36. anonymous

is it the same if you put a number in front of a fraction liike 2 1/5

37. UsukiDoll

that's a mixed number... if we want to reduce this fraction or figure out if this fraction can be reduced we need to change it into an improper fraction.

38. UsukiDoll

|dw:1439372358709:dw| 11 is going to be the numerator

39. UsukiDoll

|dw:1439372430464:dw| since 11 and 5 are both prime numbers, we're done. That's the closest simplified fraction we can get.

40. anonymous

thnx for the help

41. UsukiDoll

you're welcome :)

42. anonymous

hold onn srry can u do 2/3 divided by 4/5

43. UsukiDoll

yeah sure |dw:1439372796026:dw| this is our division problem

44. UsukiDoll

dividing fractions don't exist . remember this? |dw:1439372833144:dw| we apply this rule to the problem |dw:1439372842706:dw|

45. UsukiDoll

so now we multiply the numerator and the denominator |dw:1439372901391:dw|

46. UsukiDoll

now we notice that the number 10 is divisible by 2 and the number 12 is divisible by 2 2 x 5 = 10 2 x 6 = 12 10 divided by 2 is 5 and 12 divided by 2 is 6

47. UsukiDoll

|dw:1439372961248:dw|

48. anonymous

is it 6/5 or 5/6

49. UsukiDoll

5/6

50. anonymous

what \about 3 /4 divided by 5/6

51. UsukiDoll

the same process applies just flip the 5/6 the flipped version is 6/5 |dw:1439373127127:dw|

52. anonymous

nooo

53. anonymous

i meant 3 1/4 divided by 5/6

54. UsukiDoll

oh sorry about that XD! ok... first we need to change that mixed fraction into an improper fraction

55. UsukiDoll

|dw:1439373285062:dw|

56. UsukiDoll

|dw:1439373372646:dw|

57. UsukiDoll

|dw:1439373411704:dw|

58. UsukiDoll

so now... numerator x numerator -------------------------- denominator x denominator 13 x 6 78 ------- ------ 4 x 5 20

59. UsukiDoll

this fraction can be reduced as both numbers are divisible by 2

60. UsukiDoll

78 divided by 2 = 39 ------------ ---- 20 divided by 2 10 now we got an odd number on the numerator... we got a problem... 39 is divisible by 3 or 12 10 is divisible by 2 or 5 since none of those divisibility numbers match, we can't reduce further.

61. anonymous

thank you p much i might have one more

62. anonymous

When Meriden made a cake she used a recipe calling for 3/4 cup of sugar. She was planning to make a huge cake for a family get-together, which means that she was going to triple the recipe (three times the ingredients). How much sugar will she need?

63. anonymous

for this one i said it was 2 1/4

64. UsukiDoll

you have it right :) 3/4 cup of sugar is just one cake so we have to triple the recipe meaning 3/4 x 3 which is needed to make 3 cakes combined into a super cake |dw:1439373846124:dw| I'm going to change this improper fraction into a mixed fraction |dw:1439373871640:dw|

65. UsukiDoll

9/4 is the same as 2 1/4 improper fraction -> mixed fraction 2 1/4 is the same as 9/4 mixed fraction -> improper fraction

66. anonymous

am i correct

67. UsukiDoll

yes