Work out the brackets first: (6-1)/6=5/6; (7-2)/14=5/14; (8-3)/24=5/24; (20-19)/1900=1/1900, because 1900=5*19*20 and 95=5*19 and 100=5*20 so that 95 goes into 1900 20 times, and 100 goes into 1900 19 times.
Now we have: 5/6+5/14+5/24+1/1900. We need the lowest common denominator: 6=2*3 and 14=2*7 so the LCD of the first two fractions is 2*3*7=42; 24=2*2*2*3 and 1900=2*2*5*5*19, so the LCD of the last two fractions is 2*2*2*3*5*5*19=11400. Take the first pair: 5/6+5/14=5(1/6+1/14)=5(7+3)/42=5*10/42=5*5/21=25/21.
Now the second pair: 5/24+1/1900=(5*475+6)/11400=2381/11400.
We have two fractions to add: 25/21+2381/11400.
The LCD=3*7=2*2*2*3*5*5*7*19=79800:
(25*3800+7*2381)/79800=(95000+16667)/79800=111667/79800=1.3993 approx.