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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

Sagot :

Answer:

7/4

Step-by-step explanation:

[tex]x\cdot \frac{7}{4}=1\\\\x\cdot \frac{7}{4}\cdot \frac{4}{7}=1\cdot \frac{4}{7}\\\\x\cdot 1 = \frac{4}{7}\\\\x=\frac{4}{7}[/tex]

Answer:

The answer is [tex]\frac{4}{7}[/tex].

Step-by-step 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 [tex]\frac{7}{4}[/tex]:

[tex]\frac{1}{\frac{7}{4}}[/tex]

[tex]= \frac{4}{7}[/tex]

Hence, the answer is [tex]\frac{4}{7}[/tex].

Hope this helped!