| Directions From the four answers given, shade the appropriate answer in the space provided for it on the OW Answer Sheet. |
A) \[\frac{9}{10}\]
B) \[\frac{11}{12}\]
C) \[\frac{23}{28}\]
D) \[\frac{32}{33}\]
Correct Answer: C
Solution :
Ans. Ist method Converting all the fraction into decimals [i] \[\frac{9}{10}=0.900\] [ii] \[\frac{11}{12}=0.916\] [iii] \[\frac{23}{28}=0.821\] [iv] \[\frac{32}{33}0.969\] \[\therefore \] \[\frac{23}{28}\] is smallest. IInd method Convert all the fractions with same denominator. So, taking the LCM OF 10, 12, 28, 33. [i] \[\frac{9}{10}=\frac{4158}{4620}\] [ii] \[\frac{11}{12}=\frac{4235}{4620}\] [iii] \[\frac{23}{28}=\frac{3795}{4620}\] [iv] \[\frac{32}{33}=\frac{4480}{4620}\] \[\therefore \] \[\frac{23}{28}\] is smallest.
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