a: =-1/3+1/3+1=1
b: =2/15+5/9-6/9
=2/15-1/9
=6/45-5/45=1/45
c: =-1/5+1/4-3/4
=-1/5-1/2
=-7/10
-7/21 + ( 1 + 1/3 )
= -1/3 + 1 + 1/3
= -1/3 + 1/3 + 1
= 0 + 1
= 1
2/15 + ( 5/9 + -6/9 )
= 2/15 + -1/9
= 6/45 + -5/45
= 1/45
( -1/5 + 3/12 ) + -3/4
= -1/5 + 1/4 + -3/4
= 1/4 + -3/4 + -1/5
= -1/2 + -1/5
= -5/10 + -2/10
= -7/10
\(\dfrac{-7}{21}+\left(1+\dfrac{1}{3}\right)=\dfrac{-1}{3}+1+\dfrac{1}{3}=\left(\dfrac{-1}{3}+\dfrac{1}{3}\right)+1=0+1=1\)
\(\dfrac{2}{15}+\left(\dfrac{5}{9}+\dfrac{-6}{9}\right)=\dfrac{2}{15}+\dfrac{-1}{9}=\dfrac{6}{45}+\dfrac{-5}{45}=\dfrac{1}{45}\)
\(\left(\dfrac{-1}{5}+\dfrac{3}{12}\right)+\dfrac{-3}{4}=\left(\dfrac{-12}{60}+\dfrac{15}{60}\right)+\dfrac{-3}{4}=\dfrac{3}{60}+\dfrac{-3}{4}=\dfrac{3}{60}+\dfrac{-45}{60}=\dfrac{-42}{60}=\dfrac{-7}{10}\)