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anonymous

  • 5 years ago

how do i find the LCD?

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  1. anonymous
    • 5 years ago
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    Find multiples of each the denominators and see which ones they all have in common. Then choose the smallest of those to be your LCD.

  2. anonymous
    • 5 years ago
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    For example: Finding the LCD of 2/3, 5/12, and 7/15 we would list multiples of 3, 12 and 15

  3. anonymous
    • 5 years ago
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    The other method involves factorizing your denominator

  4. anonymous
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    And is often a bit faster.

  5. anonymous
    • 5 years ago
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    so what if i have big number like, 220 and say 100....?

  6. anonymous
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    Yeah, that's when factorizing helps. What are the factors of 220?

  7. anonymous
    • 5 years ago
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    how do you find the factors?

  8. anonymous
    • 5 years ago
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    22 * 10 = 220 (11*2)*(5*2) = 220 So the factors of 220 are 2*2*5*11

  9. anonymous
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    oh, ok thanks!!

  10. anonymous
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    Does that make sense as to how you break them down?

  11. anonymous
    • 5 years ago
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    yea sort of, i'm a little bit rusty when it comes to math....

  12. anonymous
    • 5 years ago
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    So now, what are the factors of 100?

  13. anonymous
    • 5 years ago
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    Pick two numbers you can multiply to get 100

  14. anonymous
    • 5 years ago
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    hold up one second

  15. anonymous
    • 5 years ago
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    ten and one??

  16. anonymous
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    ten times one is ten.

  17. anonymous
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    ok sorry, i ment ten times ten and 1 times 100

  18. anonymous
    • 5 years ago
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    yeah, don't bother with 1, it's not useful when factoring, because you can factor infinitely many ones from any number

  19. anonymous
    • 5 years ago
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    But \(10\times 10\) is good. So now, what two numbers do you multiply to get 10?

  20. anonymous
    • 5 years ago
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    5x2 and 1x10 are the only ones i can think of right off the top of my head

  21. anonymous
    • 5 years ago
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    Right, those are the only ones. But again, the 1x10 is not useful. So we'll use 5x2

  22. anonymous
    • 5 years ago
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    So that means that \(100 = 10\times 10\) \(100 = (5\times 2)\times (5\times 2)\)

  23. anonymous
    • 5 years ago
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    So the factors of 100 are?

  24. anonymous
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    10?

  25. anonymous
    • 5 years ago
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    No. 2*2*5*5

  26. anonymous
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    sorry, like i said, a bit rusty

  27. anonymous
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    You take each number in your fully factored form those are your factors

  28. anonymous
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    In this case we had 2*5*2*5 = 100, so 2, 2, 5, 5 would be our factors.

  29. anonymous
    • 5 years ago
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    oh, wow, thank you so much for your help!!!

  30. anonymous
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    Ok, so now we take the factors of 100 and the factors of 220 and compare them: 100= 2*2 * 5*5 220= 2*2 * 5 * 11

  31. anonymous
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    and the lowest is two, so the LCD would be 2??

  32. anonymous
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    No, that's the LCF

  33. anonymous
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    ok so whats the LCD then?

  34. anonymous
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    The lowest common factor is 2, but the lowest common divisor is actually bigger than 100, or 220

  35. anonymous
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    And we see that if we want them to have the same factors, we need a 11 times 100 and a 5 times 220

  36. anonymous
    • 5 years ago
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    What is 11 * 100?

  37. anonymous
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    im looking for the lowest common denominator, not the divisor..

  38. anonymous
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    100= 2*2 * 5*5 220= 2*2 * 5 * 11 Sorry I meant denominator

  39. anonymous
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    oh ok, i was getting a bit confused fro a second,

  40. anonymous
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    So again, both of our numbers have 2 2's, and one 5.

  41. anonymous
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    But one has an extra 5, and the other has an 11.

  42. anonymous
    • 5 years ago
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    Do you see that?

  43. anonymous
    • 5 years ago
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    yep i do!

  44. anonymous
    • 5 years ago
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    Ok, so we have to make them the same

  45. anonymous
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    So we need to multiply 100 times 11, and 220 by 5 and they will have the same factors and therefore be the same number. And that number is our LCD.

  46. anonymous
    • 5 years ago
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    oh ok!

  47. anonymous
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    So what is 5 * 220, and 100 * 11?

  48. anonymous
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    1100

  49. anonymous
    • 5 years ago
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    yep. Now lets have you try it with either another problem you have, or my earlier example

  50. anonymous
    • 5 years ago
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    ok lets see, how about, 95 and 100

  51. anonymous
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    Ok, so first factor them like we did before, 100 is easy since we already had that one the last time.

  52. anonymous
    • 5 years ago
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    yep and its 10x10

  53. anonymous
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    No, you can factor that further remember?

  54. anonymous
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    10 is 5*2, so 100 is 5*2 * 5*2

  55. anonymous
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    oh yea sorry, i am so sorry i apparently have lack of memory

  56. anonymous
    • 5 years ago
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    anyways, do go on...

  57. anonymous
    • 5 years ago
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    Ok, so factor 95

  58. anonymous
    • 5 years ago
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    ok 5x19 is one i know

  59. anonymous
    • 5 years ago
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    but i cant think of any others

  60. anonymous
    • 5 years ago
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    That's good. There are no others.

  61. anonymous
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    oh ok

  62. anonymous
    • 5 years ago
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    So list the factors of 100, and the factors of 95 side by side and see which ones they have in common and which ones they do not.

  63. anonymous
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    ok so, 100: 5x2 5x2 and for 95: 5x19 so the all have fives

  64. anonymous
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    Ok, which ones do they not have in common?

  65. anonymous
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    19 and 2

  66. anonymous
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    Ok, specifically if we wanted to make them the same, what would we need to multiply by 100

  67. anonymous
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    not really sure....

  68. anonymous
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    100 has all the ones 95 has except?

  69. anonymous
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    19

  70. anonymous
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    Good. And 95 has all the ones 100 has except?

  71. anonymous
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    2

  72. anonymous
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    Close. It's actually two 2's and a 5. You have to count how many each one has.

  73. anonymous
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    oh ok so with that how do you make them the same?

  74. anonymous
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    Well you multiply the 100 by the ones it's missing (19) and the 95 by the ones it's missing (2*2*5)

  75. anonymous
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    And they should be the same.

  76. anonymous
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    and it would equal to 1900

  77. anonymous
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    100 * 19 = 1900, what about 95*2*2*5?

  78. anonymous
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    it equals the same, 1900

  79. anonymous
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    Yep, that's your LCD

  80. anonymous
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    Ok try another one on your own.

  81. anonymous
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    i will! thanks for all your help!!

  82. anonymous
    • 5 years ago
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    Any time =)

  83. anonymous
    • 5 years ago
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    wow i just did one on my own and i got it right, thank you for helping me understand!

  84. anonymous
    • 5 years ago
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    Very welcome! =)

  85. anonymous
    • 5 years ago
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    but i might need help on something else, if you have the time

  86. anonymous
    • 5 years ago
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    Oh, when you can, go ahead and give me a medal, that's how the site determines whether or not the question is answered.

  87. anonymous
    • 5 years ago
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    Of course, just start a new question and I'll take a look.

  88. anonymous
    • 5 years ago
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    ok, i have these problems where im supposed to change a percent that is a mixed number into a fraction (in lowest terms) and the book gives me no help on how to do it

  89. anonymous
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    Ok, well start by turning the mixed number into a fraction.

  90. anonymous
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    for example, 5 3/8 percent into a fraction

  91. anonymous
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    Right, so start by turning the 5 3/8% into a improper fractional percentage

  92. anonymous
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    Basically ignore the percent for now.

  93. anonymous
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    ok hold up

  94. anonymous
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    dont you multiplie the 5 by 3 then add 8, or am i getting this mixed up

  95. anonymous
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    dont you do this: 5x3+8 then keep eight as your denominater

  96. anonymous
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    No, for improper fractions, you need to rewrite 5 as \(\frac{x}{8}\)

  97. anonymous
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    Then add it to the 3

  98. anonymous
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    sorry, i dont know what that is

  99. anonymous
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    5 and 3/8 \[= 5 + \frac{3}{8}\]\[ = \frac{5}{1} + \frac{3}{8}\] \[= \frac{5}{1} * 1 + \frac{3}{8}\] \[= \frac{5}{1}*\frac{8}{8} + \frac{3}{8}\] \[= \frac{40}{8} + \frac{3}{8}\] \[= \frac{43}{8}\]

  100. anonymous
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    ok, i kind of get it but kind of dont, if that makes any sense

  101. anonymous
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    like where did the one and the eight come from>

  102. anonymous
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    Well, you can always multiply 1 times something and get the same thing right?

  103. anonymous
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    right...

  104. anonymous
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    \[\frac{5}{1} = \frac{5}{1}*1\]

  105. anonymous
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    oh ok....

  106. anonymous
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    And any number over itself is 1 right?

  107. anonymous
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    right

  108. anonymous
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    \[\frac{8}{8} = 1 \implies \frac{5}{1}= \frac{5}{1}*1 = \frac{5}{1}*\frac{8}{8} = \frac{40}{8}\] This is just a very long way to say that \[5 = \frac{40}{8}\]

  109. anonymous
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    ok now it makes sense.... so ow that we have the 40/8 what do we do with it?

  110. anonymous
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    You could also answer that by just taking the denominator and multiplying it by the whole number part.

  111. anonymous
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    So then we add it to the fractional part.

  112. anonymous
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    So 5 and 3/8 as a fraction is 40/8 + 3/8

  113. anonymous
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    Take the denominator. Multiply it by the whole number. Then add that to the numerator of the fractional part. That's your improper fraction.

  114. anonymous
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    43/8...?

  115. anonymous
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    Yep. So 43/8 %

  116. anonymous
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    But we want that as just a fraction, not a percent.

  117. anonymous
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    right...

  118. anonymous
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    So to turn a percent into fraction a we just multiply the denominator by 100.

  119. anonymous
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    yep and that would be 800?? because you multiply 8 x 100= 800

  120. anonymous
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    Yep.

  121. anonymous
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    So 5 and 3/8 % = 43/800

  122. anonymous
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    oh ok..

  123. anonymous
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    So now you try one.

  124. anonymous
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    ok, and i will let you know if i get it right

  125. anonymous
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    ok

  126. anonymous
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    ok, heres my problem: 8 4/5 change it into a percent: i got 44/5 then multiplied it by 100 and got 44/100... is that correct?

  127. anonymous
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    No. 5 * 100 = 500, not 100.

  128. anonymous
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    thats what i ment sorry

  129. anonymous
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    Then yes, 44/500 is correct.

  130. anonymous
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    yay! thanks! and im sure i will have more questions, so when i do, ill just ask!

  131. anonymous
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    ok

  132. anonymous
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    how do i give you a medal?

  133. anonymous
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    ok, i have another question.....

  134. anonymous
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    nevermind!

  135. anonymous
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    Sorry, I had class. To give a medal you click the give medal button. next to any of my posts..

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