Pregunta
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
,
statements are true?
(a)
b)
©
(d)
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
.
-
For (a):
Computeof : Sincewe haveThus, (a) is true. -
For (b):
The statement claims thatof is greater than . But as we found, so (b) is false. -
For ©:
Computeof : Writingwith denominator 15: Since, © is false. -
For (d):
Computeof : Again, writingwith 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.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg


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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