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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
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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:
\[\frac{289 \div 17}{391 \div 17}\]
\[ = \frac{17}{23}\]
\[\frac{289 \div 17}{391 \div 17}\]
\[ = \frac{17}{23}\]
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