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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

\(-\frac{2}{3}-(-2\frac{2}{5})\)

=\(-\frac{2}{3}+2\frac{2}{5}\)

=\(2\frac{2}{5}-\frac{2}{3}\)

=\(2\frac{6}{15}-\frac{10}{15}\)

= \(1\frac{21}{15}-\frac{10}{15}\)

=\(1\frac{11}{15}\)

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