anonymous
  • anonymous
Perform the indicated operation. 2/3 + 3/8
Mathematics
chestercat
  • chestercat
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AbdullahM
  • AbdullahM
make sure that both fractions have the same denominator.
AbdullahM
  • AbdullahM
What is the least common multiple of 3 and 8?
anonymous
  • anonymous
2?

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AbdullahM
  • AbdullahM
Do you know what multiples are?
anonymous
  • anonymous
no..
AbdullahM
  • AbdullahM
Multiples of 3: 3, 6, 9, 12, 15, 18, 21... and so on
AbdullahM
  • AbdullahM
What are the multiples of 8?
anonymous
  • anonymous
16 24 and 32?
AbdullahM
  • AbdullahM
so the least common multiple would be 24
anonymous
  • anonymous
why wouldnt it be 16? because thats the lowest other than 8
AbdullahM
  • AbdullahM
But is 16 divisible by 3? No.
anonymous
  • anonymous
oh okay i get that
AbdullahM
  • AbdullahM
\(\sf\Large\left(\frac{2}{3} \times\frac{8}{8}\right)+\left(\frac{3}{8}\times\frac{3}{3}\right)=?\)
AbdullahM
  • AbdullahM
Hint: \(\sf\Large\frac{a}{b}\times\frac{c}{d}=\frac{a~\times~ b}{c ~\times~ d}\)
anonymous
  • anonymous
16/24 + 9/24
anonymous
  • anonymous
@AbdullahM so 25/24
AbdullahM
  • AbdullahM
correct and that is 1 1/24
anonymous
  • anonymous
@AbdullahM how do you get it like that though?
AbdullahM
  • AbdullahM
because \(\sf\Large\frac{25}{24} =\frac{24+1}{24}=\frac{24}{24}+\frac{1}{24}=1\frac{1}{24}\)
anonymous
  • anonymous
@AbdullahM oh okay i get that, thanks a lot

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