Question

3/1.4 + 3/4.7 + 3/7.10 + ... + 3/94.97

Answer 1

`3/1.4+3/4.7+3/7.10+...+3/94.97`

`=1/1-1/4+1/4-1/7+1/7-1/10+...+1/94-1/97`

`=1-1/97`

`=96/97`

Answer 2

\(\dfrac{3}{1.4}+\dfrac{3}{4.7}+\dfrac{3}{7.10}+...+\dfrac{3}{94.97}\\ =1-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{10}+...+\dfrac{1}{94}-\dfrac{1}{97}\\ =1-\dfrac{1}{97}=\dfrac{96}{97}\)