find the values of-2/3+(-4/5+1/2)and (2/3)+(-4/5)+1/2compare them what do you observe
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Step-by-step explanation:
−
3
2
+ (-\frac{4}{5} + \frac{1}{2} )+(−
5
4
+
2
1
) = -\frac{2}{3} + (\frac{-8 + 5}{10} ) = -\frac{2}{3} - \frac{3}{10}=−
3
2
+(
10
−8+5
)=−
3
2
−
10
3
= -\frac{20 + 9}{30} = - \frac{29}{30}=−
30
20+9
=−
30
29
(-\frac{2}{3} + \frac{-4}{5} ) + \frac{1}{2}(−
3
2
+
5
−4
)+
2
1
= (-\frac{10 + 12}{15} ) + \frac{1}{2}=(−
15
10+12
)+
2
1
= -\frac{22}{15} + \frac{1}{2}=−
15
22
+
2
1
= \frac{-44 + 15}{30} =-\frac{29}{30}=
30
−44+15
=−
30
29
∴ -\frac{2}{3}−
3
2
+ (-\frac{4}{5} + \frac{1}{2} )+(−
5
4
+
2
1
) = (-\frac{2}{3} + \frac{-4}{5} ) + \frac{1}{2}(−
3
2
+
5
−4
)+
2
1
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