Question

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

Answer 1

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=   $\frac{-3}{2}$