The decimal representation of $\frac{71}{150}$ is ______.

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KollegeApply · Accepted Answer

The decimal representation of $\frac{71}{150}$ is a nonterminating, repeating decimal. Explanation: In lowest terms $\frac{71}{150}$ has denominator 150 = 2 $\times$ 3 $\times$ 52. Because the denominator contains a prime factor 3 (not only 2s and 5s), its decimal expansion does not terminate and must repeat; in fact $\frac{71}{150}$ = 0.473333....

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