bestvedarth
bestvedarth bestvedarth
  • 24-07-2020
  • Mathematics
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The product of two rational numbers is -28/75. If one of the numbers is 14/25, find the other

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bekkarmahdi702
bekkarmahdi702 bekkarmahdi702
  • 24-07-2020

Answer:

-3/2

Step-by-step explanation:

Let x be the missing number

  • x*[tex]\frac{14}{25}[/tex] = [tex]\frac{-28}{75}[/tex]
  • x = [tex]\frac{-28}{75}[/tex] * [tex]\frac{25}{14}[/tex]          inverse 14/25 since it's a fraction
  • x = [tex]\frac{-28*25}{75*14}[/tex]
  • x = [tex]\frac{-4*7*25}{25*3*7*2}[/tex]          write 75 as 25*3 and -28 as -4*7 to simplify
  • x = [tex]\frac{-4}{6}[/tex]            -4 is left on the top and 6 = 3*2
  • x = [tex]\frac{-3*2}{2*2}[/tex]
  • x=   [tex]\frac{-3}{2}[/tex]      
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