Question

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

Answer 1

-3/2

Explanation:

Let x be the missing number

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