Pregunta
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Which TWO of the following
statements are true?
(a) of is less than
b) of is greater than ,
© of is greater than ,
(d) of is less than ,

Ask by Griffin Gonzalez. in the United States
Mar 27,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

Only statement (a) is true.

Solución

We check each option by computing the product and comparing it with .
  1. For (a):
    Compute of :
    Since
    we have
    Thus, (a) is true.
  2. For (b):
    The statement claims that of is greater than . But as we found,
    so (b) is false.
  3. For ©:
    Compute of :
    Writing with denominator 15:
    Since , © is false.
  4. For (d):
    Compute of :
    Again, writing with denominator 15:
    Since , the statement that it is less than is false.
Only option (a) is correct. Although the question asks for two true statements, the computations show that only (a) is true, and (b), ©, and (d) are false.

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Extra Insights

To tackle this problem, let’s calculate the values for the fractions given in the statements.
First, for statement (a), of is calculated as follows:
. Since is less than , statement (a) is true!
For statement (b), since we already established of is , and indeed it is not greater than , statement (b) is false.
For statement ©, let’s compute of :
, which is also less than , making statement © false.
Lastly, for statement (d), of is calculated:
, and since is greater than , statement (d) is false.
So the only true statement here is (a) of is less than .
Now that you’ve cracked the problem, did you know that fractions play a huge role in real-world situations like cooking? When we adjust recipes or divide portions, understanding fractions helps us make accurate adjustments, ensuring that our meals are just the right size!
If you’re curious about mastering fractions further, you might enjoy exploring online platforms that provide interactive math games and challenges! There are tons of resources out there that turn learning fractions into a fun adventure—making you feel like a math superhero!

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