State true or false: −27 45 and −3 5 and represent equivalent rational numbers.

# State true or false: and and represent equivalent rational numbers.

1. A
True
2. B
False

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### Solution:

As per the given statement, and  are equivalent rational numbers and we have to state if it’s true or not.
Equivalent rational numbers are those rational numbers whose standard forms are equal.
So, we can observe that is already in standard form, but can be reduced.
So,

So, the standard form of is , which is also the second fraction as per the statement.
Therefore, we conclude that and have their standard forms equal as , and so by definition, they are equivalent fractions.
Hence, the statement is true.
Hence, the correct option is (1).

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