Mathematics

Only by inspecting the prime factors of the denominator, state which of the following fractions will be a terminating decimal?
$\dfrac{7}{12}$
$\dfrac{2}{15}$
$\dfrac{3}{16}$
$\dfrac{4}{21}$

Rational Irrational Nos

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Answer

A rational number will have a terminating decimal expansion if and only if the prime factorization of its denominator contains only powers of 2 and/or 5.

The prime factor of 16 is only 2.

∴ $\dfrac{3}{16}$ will have a terminating decimal.

Hence, Option 3 is the correct option.

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Mathematics

Only by inspecting the prime factors of the denominator, state which of the following fractions will be a terminating decimal?
$\dfrac{7}{12}$
$\dfrac{2}{15}$
$\dfrac{3}{16}$
$\dfrac{4}{21}$

Rational Irrational Nos

Answer

Related Questions

When $8.\overline{32}$ is expressed as a vulgar fraction, then it becomes :
$\dfrac{208}{824}$
$\dfrac{824}{99}$
$\dfrac{800}{99}$
$\dfrac{416}{45}$

0.3 when expressed as a ratio of two integers, becomes :
$\dfrac{103}{330}$
$\dfrac{52}{165}$
$\dfrac{103}{111}$
$\dfrac{104}{333}$

Only by inspecting the prime factors of the denominators, state which of the following fractions will be a recurring decimal?
$\dfrac{7}{16}$
$\dfrac{8}{51}$
$\dfrac{3}{25}$
$\dfrac{11}{20}$

The number which is to be subtracted from $\sqrt{72}$ to get $\sqrt{32}$ is:
$2\sqrt{10}$
$4\sqrt{2}$
$3\sqrt{2}$
$2\sqrt{2}$

Mathematics

Only by inspecting the prime factors of the denominator, state which of the following fractions will be a terminating decimal?712\dfrac{7}{12}127​215\dfrac{2}{15}152​316\dfrac{3}{16}163​421\dfrac{4}{21}214​

Rational Irrational Nos

Answer

Related Questions

When 8.32‾8.\overline{32}8.32 is expressed as a vulgar fraction, then it becomes :208824\dfrac{208}{824}824208​82499\dfrac{824}{99}99824​80099\dfrac{800}{99}99800​41645\dfrac{416}{45}45416​

0.3 when expressed as a ratio of two integers, becomes :103330\dfrac{103}{330}330103​52165\dfrac{52}{165}16552​103111\dfrac{103}{111}111103​104333\dfrac{104}{333}333104​

Only by inspecting the prime factors of the denominators, state which of the following fractions will be a recurring decimal?716\dfrac{7}{16}167​851\dfrac{8}{51}518​325\dfrac{3}{25}253​1120\dfrac{11}{20}2011​

The number which is to be subtracted from 72\sqrt{72}72​ to get 32\sqrt{32}32​ is:2102\sqrt{10}210​424\sqrt{2}42​323\sqrt{2}32​222\sqrt{2}22​

Only by inspecting the prime factors of the denominator, state which of the following fractions will be a terminating decimal?
$\dfrac{7}{12}$
$\dfrac{2}{15}$
$\dfrac{3}{16}$
$\dfrac{4}{21}$

When $8.\overline{32}$ is expressed as a vulgar fraction, then it becomes :
$\dfrac{208}{824}$
$\dfrac{824}{99}$
$\dfrac{800}{99}$
$\dfrac{416}{45}$

0.3 when expressed as a ratio of two integers, becomes :
$\dfrac{103}{330}$
$\dfrac{52}{165}$
$\dfrac{103}{111}$
$\dfrac{104}{333}$

Only by inspecting the prime factors of the denominators, state which of the following fractions will be a recurring decimal?
$\dfrac{7}{16}$
$\dfrac{8}{51}$
$\dfrac{3}{25}$
$\dfrac{11}{20}$

The number which is to be subtracted from $\sqrt{72}$ to get $\sqrt{32}$ is:
$2\sqrt{10}$
$4\sqrt{2}$
$3\sqrt{2}$
$2\sqrt{2}$