=3/1.4 + 3/4.7 + 3/7.10 + 3/13.10
=1/1 - 1/4 + 1/4 + 1/7 + 1/7 + 1/10 + 1/10 - 1/13
=8+4/13
=12/13
= \(\dfrac{3}{1.4}+\dfrac{3}{4.7}+\dfrac{3}{7.10}+\dfrac{3}{10.13}\)
= \(1-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{10}+\dfrac{1}{10}-\dfrac{1}{13}=1-\dfrac{1}{13}=\dfrac{12}{13}\)