Find the larger of each pair of fractions below, without multiplication:

We know that,

When the denominators of the fractions are equal ,

then the fraction having greater numerator is larger than

the other. Example:

Also, When the numerators of the fractions are equal ,

then the fraction having smaller denominator is larger

than the other. Example:

on combining these two statements we can conclude that,

The fraction having larger numerator and also smaller denominator is greater.

Now,

i) Among and

since, 14 is greater than 13 and 15 is smaller than 17.

∴

ii) Among and

since, 13 is greater than 11 and 17 is smaller than 18.

∴

iii) Among and

since, 14 is greater than 11 and 15 is smaller than 18.

∴