Question

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

Options

• \[\frac{11}{23}\]
• \[\frac{13}{31}\]
• \[\frac{17}{31}\]
• \[\frac{17}{23}\]

Answer 1

\[\frac{17}{23}\]

\[\frac{289}{391}\]

H.C.F.=17
Dividing both the numerator and the denominator by the H.C.F. of 289 & 391:

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