Question

Which fraction has a repeating decimal as its decimal expansion? StartFraction 3 Over 19 EndFraction StartFraction 3 Over 16 EndFraction StartFraction 3 Over 11 EndFraction StartFraction 3 Over 8 EndFraction

Answer 1

Answer:

C

Step-by-step explanation:

i took the test

Answer 2

The fraction having repeating decimal expansion is $\frac{3}{11}$ from the given options.

Concept:

• We will check all the fractions by performing long division.

• Even denominators will always end up terminating decimals.

How to solve the given question?

• We will perform long division and check for the quotient of each case.
• $\frac{3}{19} = 0.157894737...$, hence non-repeating decimal expansion.
• $\frac{3}{16} = 0.1875$ , hence, finite decimal expansion.
• $\frac{3}{11} = 0.27272727....$,  Hence it has a repeating decimal expansion.
• $\frac{3}{8} = 0.375$, hence it has a finite decimal expansion.

Thus, the fraction having repeating decimal expansion is $\frac{3}{11}$ from the given options.

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