Answer:
\(\bf 81\tfrac{1}{4}>64\tfrac{2}{3}>49\tfrac{1}{2}>32\tfrac{3}{5}\)
Step-by-step explanation:
The numeric expressions which are needed to be arranged in the descending order are given as :
\(32\tfrac{3}{5},\:81\tfrac{1}{4},\:64\tfrac{2}{3},\: 49\tfrac{1}{2}\)
Converting these numbers into fraction form, we get :
\(\frac{163}{5},\: \frac{325}{4},\:\frac{194}{3},\:\frac{99}{2}\)
Now, to arrange them into descending order first we will make their denominators equal. So, L.C.M. of 2, 3, 4, 5 = 60
So, The fraction form will be :
\(\frac{1956}{60},\: \frac{4875}{60},\:\frac{3880}{60},\:\frac{2970}{60}\)
So, The numbers having greater denominator will come first.
Therefore, The required descending form will be :
\(81\tfrac{1}{4}>64\tfrac{2}{3}>49\tfrac{1}{2}>32\tfrac{3}{5}\)
