Calculate:

$\frac{3}{2\text{x}5}+\frac{3}{5\text{x}8}+\frac{3}{8\text{x}11}+....+\frac{3}{101\text{x}104}$

( Write the result as a/b )

Calculate:

$2-\left( \frac{4}{1\text{x}5}+\frac{4}{5\text{x}9}+\frac{4}{9\text{x}13}+\frac{4}{13\text{x}17}+\frac{4}{17\text{x}21} \right)$

( Write the result as a/b )

Calculate:

 $\frac{1}{1\text{x}3}+\frac{1}{3\text{x}5}+\frac{1}{5\text{x}7}+\frac{1}{7\text{x}9}+\frac{1}{9\text{x}11}$

( Write the result as a/b )

Calculate:

$\frac{1}{1\text{x}3}+\frac{1}{3\text{x}5}+\frac{1}{5\text{x}7}+....+\frac{1}{99\text{x}101}$

( Write the result as a/b )

Calculate:

 $\frac{1}{1\text{x4}}+\frac{1}{\text{4x7}}+\frac{1}{\text{7x10}}+\frac{1}{\text{10x13}}+\frac{1}{\text{13x}16}$

( Write the result as a/b )

Calculate:

$\frac{1}{1\text{x5}}+\frac{1}{\text{5x9}}+\frac{1}{\text{9x13}}+....+\frac{1}{\text{73x77}}+\frac{1}{\text{77x81}}$

( Write the result as a/b )

Calculate:

$\left( 1+\frac{1}{2} \right)\times \left( 1+\frac{1}{3} \right)\times \left( 1+\frac{1}{4} \right)\times ....\times \left( 1+\frac{1}{49} \right)$

( Write the result as a/b )

Calculate:

 $\left( 1+\frac{1}{2} \right)\times \left( 1+\frac{1}{3} \right)\times \left( 1+\frac{1}{4} \right)\times ....\times \left( 1+\frac{1}{100} \right)$

( Write the result as a/b )

Calculate:

$\begin{align}& 100-\left( 1+\frac{1}{2} \right)\times \left( 1+\frac{1}{3} \right)\times \left( 1+\frac{1}{4} \right)\times ......\times \left( 1+\frac{1}{99} \right) \\&  \\\end{align}$

( Write the result as a/b )

Calculate:

$\left( 1-\frac{1}{2} \right)\times \left( 1-\frac{1}{3} \right)\times \left( 1-\frac{1}{4} \right)\times \left( 1-\frac{1}{5} \right)$ =…..?

( Write the result as a/b )

Calculate:

$\left( 1-\frac{1}{2} \right)\times \left( 1-\frac{1}{3} \right)\times \left( 1-\frac{1}{4} \right)\times ....\times \left( 1-\frac{1}{100} \right)$

( Write the result as a/b )

Calculate:

$1-\left( 1-\frac{1}{2} \right)\times \left( 1-\frac{1}{3} \right)\times \left( 1-\frac{1}{4} \right)\times ...\times \left( 1-\frac{1}{50} \right)$

( Write the result as a/b )

Calculate:

 $\left( 1+\frac{1}{2} \right)\times \left( 1+\frac{1}{3} \right)\times \left( 1+\frac{1}{4} \right)\times ....\times \left( 1+\frac{1}{49} \right)-\left( 1-\frac{1}{2} \right)\times \left( 1-\frac{1}{3} \right)\times \left( 1-\frac{1}{4} \right)\times \left( 1-\frac{1}{5} \right)$

( Write the result as a/b )

Calculate:

$\frac{1}{1x2\text{x}3}+\frac{1}{2\text{x}3\text{x}4}+\frac{1}{\text{3x4x5}}+\frac{1}{4\text{x}5\text{x}6}+\frac{1}{5\text{x}6\text{x}7}$

( Write the result as a/b )

Calculate:

$\frac{1}{2\text{x}3\text{x}4}+\frac{1}{3\text{x}4\text{x}5}+\frac{1}{4\text{x}5\text{x}6}+....+\frac{1}{18\text{x}19\text{x}20}$

( Write the result as a/b )