1/15<7/15,1/3=5/15,4/5=12/15,so 1/15<1/3<7/15<4/5<32/3.

Where you have a number of fractions to be placed in order then it is necessary to convert the different denominators to a common denominator which is their lowest common multiple. A comparison of the resulting numerators can then be made to determine the order.

The different denominators are 15, 3 and 5. The LCM of these three numbers is 15.

In descending order the converted fractions are :-

The different denominators are 15, 3 and 5. The LCM of these three numbers is 15.

^{1}/_{15}and^{7}/_{15}do not require conversion.^{32}/_{3}=^{5x32}/_{5x3}=^{160}/_{15}^{ : }^{1}/_{3}=^{5x1}/_{5x3}=^{ 5}/_{15}^{4}/_{5}=^{3x4}/3_{x5}=^{12}/_{15}The numerators are 1,7,160,5 and 12.In descending order the converted fractions are :-

^{160}/_{15},^{12}/_{15}.^{7}/_{15},^{5}/_{15},^{ 1}/_{15}and replacing these with the original fractions gives the order as :-^{32}/_{3},^{4}/_{5},^{7}/_{15},^{1}/_{3 }and^{ 1}/_{15}