Question

Write the rational number as a/b in simplest form.

a) −429/100
b) −429/1000
c) −429/10
d) −43/10

Answer 1

The rational numbers −429/100, −429/1000, −429/10, and −43/10 are already in their simplest form because the numerator and denominator do not have any common factors other than 1.

Step-by-step explanation:

When expressing rational numbers in simplest form as a/b, we ensure that both a and b are integers and that they share no common factors other than 1. In light of this:

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• a) −429/100 can be simplified to −4.29 or −429/100 as written since −429 cannot be evenly divided by 100.
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• b) −429/1000 simplifies to −0.429 or −429/1000 as is because 1000 is not a factor of −429.
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• c) −429/10 simplifies to −42.9 since we cannot reduce the fraction further.
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• d) −43/10 is already in simplest form as there are no common factors to remove.

Therefore, all the given fractions are in their simplest form when the numerator a and the denominator b have no common factors other than 1.