Which of the following rational numbers is terminating?

\frac{7}{3}

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\frac{21}{80}

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\frac{5}{6}

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Solution

The correct option is B $\frac{21}{80}$
In $\frac{21}{80}$ , denominator $80 = 2 \times 2 \times 2 \times 2 \times 5 = 2^{4} 5^{1}$ , which is of the form $2^{p} 5^{q}$ .
Hence, the $\frac{21}{80}$ is terminating.

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Similar questions

Q. Which of the following rational numbers is a terminating decimal?

Q. Without actual division, find which of the following rational numbers are terminating decimals. (i)

\frac{13}{80}

(ii)

\frac{7}{24}

(iii)

\frac{5}{12}

Q. Which of the following rational numbers are non - terminating decimals?

Q. Which of the following rational numbers have terminating decimal expansion:

Which of the following rational number can be represented as terminating and which as non terminating decimals? give the answer without actual dividing

1- 13/8

2- -7/15

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Which of the following rational numbers is terminating?

The correct option is B 2180In 2180, denominator 80=2×2×2×2×5=2451, which is of the form 2p 5q. Hence, the 2180 is terminating.

The correct option is B $\frac{21}{80}$
In $\frac{21}{80}$ , denominator $80 = 2 \times 2 \times 2 \times 2 \times 5 = 2^{4} 5^{1}$ , which is of the form $2^{p} 5^{q}$ .
Hence, the $\frac{21}{80}$ is terminating.