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Mama L [17]
2 years ago
15

The product of two rational numbers is -28/75. If one of the numbers is 14/25, find the other

Mathematics
1 answer:
Law Incorporation [45]2 years ago
8 0

Answer:

-3/2

Step-by-step explanation:

Let x be the missing number

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