Simplify the following:
-2/3+(2+2/5)
Put 2+2/5 over the common denominator 5. 2+2/5 = (5×2)/5+2/5:
-2/3+(5×2)/5+2/5
5×2 = 10:
-2/3+(10/5+2/5)
10/5+2/5 = (10+2)/5:
-2/3+(10+2)/5
10+2 = 12:
-2/3+12/5
Put -2/3+12/5 over the common denominator 15. -2/3+12/5 = (5 (-2))/15+(3×12)/15:
(5 (-2))/15+(3×12)/15
5 (-2) = -10:
-10/15+(3×12)/15
3×12 = 36:
(-10)/15+36/15
-10/15+36/15 = (-10+36)/15:
(-10+36)/15
-10+36 = 26:
Answer: | 26/15