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Mathematics

Of 1720\dfrac{17}{20} and 2125\dfrac{21}{25}, which is greater and by how much?

Fractions

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Answer

To compare the fractions 1720\dfrac{17}{20} and 2125\dfrac{21}{25} ​, we find a common denominator, which is the LCM of 20 and 25. The LCM = 100.

⇒1720−2125⇒17×520×5−21×425×4⇒85100−84100⇒85−84100⇒1100\Rightarrow \dfrac{17}{20} - \dfrac{21}{25}\\[1em] \Rightarrow \dfrac{17 \times 5}{20 \times 5} - \dfrac{21 \times 4}{25 \times 4}\\[1em] \Rightarrow \dfrac{85}{100} - \dfrac{84}{100}\\[1em] \Rightarrow \dfrac{85 - 84}{100}\\[1em] \Rightarrow \dfrac{1}{100}

Hence, 1720\dfrac{17}{20} is greater by 1100\dfrac{1}{100}.

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