Question

Using the Multiplicative Inverse Property, what is the missing number in the following equation?

______ * 7/4 = 1


-7/4


4/7


7/4


-4/7

Answer 1

7/4

Explanation:

`x\cdot (7)/(4)=1\\\\x\cdot (7)/(4)\cdot (4)/(7)=1\cdot (4)/(7)\\\\x\cdot 1 = (4)/(7)\\\\x=(4)/(7)`

Answer 2

The answer is
`(4)/(7)`.

Explanation:

Due to the end result being 1, we can sufficiently say it is neither -7/4 nor -4/7, due to a positive number multiplied by a negative number always equating to a negative number.

Therefore, using the Multiplicative Inverse Property, we can find the result by dividing 1 over
`(7)/(4)`:

`(1)/((7)/(4))`

`= (4)/(7)`

Hence, the answer is
`(4)/(7)`.

Hope this helped!