anonymous
  • anonymous
what is the least common denominater of 5/12 and -9/16
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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welshfella
  • welshfella
one way to do this is the first multiply the denominators 12 * 16 = 192 this is acommon denominator but it might not be the least common denominator
welshfella
  • welshfella
try dividing it by 2 and see if 12 and 16 are factors of the result
welshfella
  • welshfella
192 = 96 now is this a common denominator of 12 and 16?

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welshfella
  • welshfella
96 / 12 = ? 96 / 16 = ?
welshfella
  • welshfella
are the 2 results whole numbers?
anonymous
  • anonymous
ya
welshfella
  • welshfella
right so 192 is not the LCD because 96 is a common denominator Now repeat what we did with 96; 96 / 2 = 48 does 12 and 16 divide exactly into 48?
anonymous
  • anonymous
ya thanks
welshfella
  • welshfella
well we are not sure if 48 is the LCD yet because we have to try out 48/2 = 24 now is 24 the LCD? does 12 and 16 divide into 24?
anonymous
  • anonymous
no only 12
welshfella
  • welshfella
24 /12 = 2 but 16 does not divide into it so we now know that the LCD of 12 and 16 is 48
anonymous
  • anonymous
We can use prime factorization 12 = 2 x 2 x 3 16= 2 x 2 x 2 x 2 Since they have two pairs of two that overlap we use them each pair once so we get 2 x 2 x 2 x 2 x 3 = 48
anonymous
  • anonymous
can you help whith one more
welshfella
  • welshfella
yes that's another method . This method is best for very large numbers.
welshfella
  • welshfella
please post it separately
anonymous
  • anonymous
which pair of fractions is equivalent to this pair 3/5 and 2/7 options a. 21/35 and 10/35 B. 10/35 and 7/35 c. 24/35 and 12/35 d. 7/35 and 5/35
welshfella
  • welshfella
multiply 3/5 and 2/7 by 7/7. Basically what you are doing is multiplying by 1 so the 2 values are retained but the denominator becomes 35

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