What is the value of `4frac{1}{2}+3frac{1}{6}+2frac{1}{3}`

what is the value of (3frac{3}{5}+5frac{3}{5})-5/6 ?

Find the value of : (2frac{2}{3}).(2frac{1}{5})

Determine the term independent of a in the expansion of (frac{a+1}{a^frac{2}{3}-a^frac{1}{3}+1)-frac{a-1}{a-a^frac{1}{2}))^10

If reflection of A(1, -10, 1) about the line frac{x-1}{2} = frac{y-1}{3}=frac{z-2}{5} is (alpha, beta, gamma) then the |2 alpha 3 beta 5 gamma| is

Add the following: 3frac{1}{13} + 1frac{4}{13} + 2frac{3}{13}

Let (alpha, beta, gamma) be the foot of perpendicular from the point (1, 2, 3,) on the line frac{x 3}{5} = frac{y - 1}{2} = frac{z 4}{3} then 19 (alpha beta gamma)

Find the values of frac(1)(2) + frac(1)(6) + frac(1)(20)+frac(1)(30)

Find the coefficient of x^n in the expansion of (1+frac{x}{1!}+frac{x^2}{2!}+frac{x^3}{3!}+...+frac{x^n}{n!})^2 .

In the expansion of (frac{3}{2}+frac{x}{3})^n when x=frac{1}{2} , it is know that the 6th term is the greatest term. Find the possible positive integral values of n.