anonymous
  • anonymous
5/4(a-8) =2/3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Do you want to find 'a'?
anonymous
  • anonymous
yes
anonymous
  • anonymous
Being by isolating the variable, to do this we divide both sides of the equation by 5/4. Remember that dividing a fraction by another fraction is really multiplying the first fraction by the reciprocal of the dividing fraction. \[(a - 8) = \frac{ 2 }{ 3 } \times \frac{ 4 }{ 5 }\] We get\[a - 8 = \frac{ 8 }{ 15 }\] Now you add 8 to both sides to get a on it's own..\[a = \frac{ 8 }{ 15 } +8\] Now we need a common denominator to add these fractions, so..\[a = \frac{ 8 }{ 15 } +\frac{ 120 }{ 15 }\] Now we have \[a = \frac{ 128 }{ 15 }\]

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anonymous
  • anonymous
okkk...
anonymous
  • anonymous
What doesn't make sense, I'll try to explain better.
anonymous
  • anonymous
so can you simplify the fraction?
whpalmer4
  • whpalmer4
No, factors of 15 are 3,5, and 128 is not divisible by either one.
anonymous
  • anonymous
No but you can create a mixed fraction.
anonymous
  • anonymous
Well look at the factors of 15, there's 1, 3, 5 and 15. 128 isn't divisible by any of those, so it can't be simplified. If you want it in mixed number it's:\[8\frac{ 8 }{ 15 }\]
anonymous
  • anonymous
The answers I can choose from are 6 14/15 7 1/15 8 8/15 8 2/3
whpalmer4
  • whpalmer4
You could write it as a mixed fraction = \[8\frac{ 8 }{ 15 }\]
anonymous
  • anonymous
ok, great. Thank you so much!

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