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Which statement is correct about the product of 4/5 ​​and ​ 11/9
A ​?Because 11/9 is greater than 1, the product of 4/5 and ​ 11/9 ​ is less than ​ 4/5
B ​.Because 11/9 is less than 1, the product of 4/5 and ​ 11/9 ​ is greater than ​ 4/5
C ​.Because 11/9 is less than 1, the product of 4/5 and ​ 11/9 ​ is less than ​ 4/5
D ​.Because 11/9 is greater than 1, the product of 4/5 and ​ 11/9 ​ is greater than ​ 4/5


Sagot :

Answer:

  • Statement D is correct.

Step-by-step explanation:

Let's work on the product given.

  • => 4/5 x 11/9
  • => 4 x 11/9 x 5
  • => 44/45

Now, let's verify all options.

- Option A -

  • Statement: Because 11/9 is greater than 1, the product of 4/5 and ​11/9 is less than 4/5.
  • Correct/Incorrect: The statement is incorrect.
  • Reason: The statement is incorrect because the result we got from the product is greater than 4/5 while the statement states that the result should be less than 4/5. Hence, this is incorrect.

- Option B -

  • Statement: Because 11/9 is less than 1, the product of 4/5 and ​11/9 is greater than 4/5.
  • Correct/Incorrect: The statement is incorrect.
  • Reason: The statement is incorrect because 11/9 is not less than 1.

- Option C -

  • Statement: Because 11/9 is less than 1, the product of 4/5 and 11/9 is less than ​4/5.
  • Correct/Incorrect: The statement is incorrect.
  • Reason: The statement is incorrect because 11/9 is not less than 1.

- Option D -

  • Statement: Because 11/9 is greater than 1, the product of 4/5 and ​11/9​ is greater than ​4/5.
  • Correct/Incorrect: The statement is correct.
  • Reason: This is because 11/9 is greater than 1 and the product is greater than 4/5. Hence, this statement is correct.

Conclusion:

We can now conclude that statement D is correct.

Hoped this helped.

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