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Mathematics

4872\dfrac{48}{72} in simplest form is

  1. 89\dfrac{8}{9}

  2. 34\dfrac{3}{4}

  3. 23\dfrac{2}{3}

  4. none of these

Fractions

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Answer

By prime factorization,

⇒4872⇒2×2×2×2×32×2×2×3×3⇒23.\Rightarrow \dfrac{48}{72} \\[1em] \Rightarrow \dfrac{2 \times 2 \times 2 \times 2 \times 3}{2 \times 2 \times 2 \times 3 \times 3} \\[1em] \Rightarrow \dfrac{2}{3}.

Hence, option 3 is the correct option.

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