alleryWhich of the following rational numbers has a terminating decimal expansion?
A$\frac{7}{12}$
B$\frac{13}{25}$
C$\frac{11}{18}$
D$\frac{5}{21}$
Answer & Solution
Correct answer: B. $\frac{13}{25}$
A rational number terminates when, in lowest terms, its denominator has only 2s and/or 5s as prime factors.
Here $25=5^2$, so $\frac{13}{25}$ terminates.
The other denominators contain 3 or 7, so they are recurring decimals.
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