High School

Find the equivalent rational number of \(-\frac{4}{5}\).

A. \(-\frac{5}{4}\)
B. \(-\frac{8}{15}\)
C. \(\frac{20}{25}\)
D. \(-\frac{32}{40}\)

Answer :

Final answer:

The equivalent rational number to -4/5 among the provided options is -32/40. This is found by simplifying each option to its lowest form. The one that simplifies to -4/5 is considered equivalent.

Explanation:

The question asks us to find the equivalent rational number for -4/5. A rational number is equivalent to another if their simplified forms are the same or their decimal values are identical.

Looking at our options, the choices are a. -5/4 b. -8/15 c. 20/25 d. -32/40. To find an equivalent number to -4/5, we can multiply both the numerator and denominator by the same number.

When we simplify option d. -32/40, we can divide both the -32 (numerator) and the 40 (denominator) by 8. This gives us -4/5. Therefore, the equivalent rational number of -4/5 from the provided options is d. -32/40.

Learn more about Equivalent Rational Numbers here:

https://brainly.com/question/3531925

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