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Mathematics

The fraction equivalent to 4581\dfrac{45}{81} is

  1. 90243\dfrac{90}{243}

  2. 159\dfrac{15}{9}

  3. 527\dfrac{5}{27}

  4. 59\dfrac{5}{9}

Fractions

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Answer

By prime factorisation,

4581=3×3×53×3×3×3=53×3=59.\Rightarrow \dfrac{45}{81} = \dfrac{3 \times 3 \times 5}{3 \times 3 \times 3 \times 3}\\[1em] = \dfrac{5}{3 \times 3}\\[1em] = \dfrac{5}{9}.

Hence, option 4 is the correct option.

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