High School

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Which of the following fractions is equivalent to \(-\frac{84}{90}\) in the simplest terms?

A. \(\frac{14}{15}\)
B. \(-\frac{14}{15}\)
C. \(\frac{42}{45}\)
D. \(-\frac{42}{45}\)

Answer :

Answer: 14/15

This is because to get to 14/15 you must divide by 6 but when getting to 42/45 you must divide 2. Therefore 14/15 is your answer because the problem went to the most reduced fraction.

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Rewritten by : Barada

The fraction equivalent to -84/-90 in the least common terms is 14/15, as both the numerator and the denominator can be divided by the common factor 6, resulting in a simplified positive fraction.

To find which fraction is equivalent to -84/-90 in the least common terms, we need to simplify the fraction by canceling out any common factors in the numerator and the denominator. We observe that both numbers are divisible by 6. When we divide the numerator and the denominator by 6, we get:

-84 / -90 = (-84 / 6) \/ (-90 / 6) = 14 / 15

Since a negative divided by a negative results in a positive number, we eliminate the negative signs and get the fraction in its least common terms as 14/15.