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289391289391\frac{289}{391} when reduced to lowest term is - Mathematics

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Question

\[\frac{289}{391}\], when reduced to the lowest term, is

Options

  • \[\frac{13}{17}\]
  • \[\frac{17}{19}\]
  • \[\frac{17}{23}\]
  • \[\frac{17}{21}\]
MCQ

Solution

\[\frac{17}{23}\]
289 = 17 x 17
391 = 17 x 23
The H.C.F. of 289 and 391 is 17.
Dividing both the numerator and the denominator by 17:
\[\frac{289 \div 17}{391 \div 17}\]
\[ = \frac{17}{23}\]
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Chapter 2: Factors and Multiples - Test Paper 2 [Page 43]

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RS Aggarwal Mathematics [English] Class 6
Chapter 2 Factors and Multiples
Test Paper 2 | Q 17 | Page 43

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