Pojasnite ta izraz: {[(1 + 5/4) - (1 + 3/2) + (2 + 1/4)] - 1/6 + 5/2} + (5/3 + 1)?

Odgovor:

#7#

Pojasnilo:

#{(1+5/4)-(1+3/2)+(2+1/4)-1/6+5/2}+(5/3+1)#

= #{(4/4+5/4)-(2/2+3/2)+(8/4+1/4)-1/6+5/2}+(5/3+3/3)#

= #{9/4-5/2+9/4-1/6+5/2}+8/3#

= #{9/4-10/4+9/4-1/6+5/2}+8/3#

= #{8/4-1/6+5/2}+8/3#

= #{24/12-2/12+30/12}+32/12#

= #52/12+32/12#

= #84/12=7#