c,126+(-10)+345+(116)
d,1+(-4)+7)+(-10)+13+(-16)
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\(C=\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}\)
\(C=\frac{1}{5\cdot6}+\frac{1}{6\cdot7}+\frac{1}{7\cdot8}+\frac{1}{8\cdot9}\)
\(C=\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}\)
\(C=\frac{1}{5}-\frac{1}{9}=\frac{4}{45}\)
\(D=\frac{1}{1\cdot4}+\frac{1}{4\cdot7}+\frac{1}{7\cdot10}+\frac{1}{10\cdot13}+\frac{1}{13\cdot16}\)
\(D=\frac{1}{3}\cdot\left(\frac{1}{1}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+\frac{1}{10}-\frac{1}{13}+\frac{1}{13}-\frac{1}{16}\right)\)
\(D=\frac{1}{3}\cdot\left(\frac{1}{1}-\frac{1}{16}\right)\)
\(D=\frac{1}{3}\cdot\frac{15}{16}=\frac{5}{16}\)
\(C=\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}\)
\(C=\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+\frac{1}{8.9}\)
\(C=\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}\)
\(C=\frac{1}{5}-\frac{1}{9}\)
\(C=\frac{4}{45}\)
\(D=\frac{1}{1.4}+\frac{1}{4.7}+\frac{1}{7.10}+\frac{1}{10.13}+\frac{1}{13.16}\)
\(D=\frac{1}{3}\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...+\frac{1}{13}-\frac{1}{16}\right)\)
\(D=\frac{1}{3}\left(1-\frac{1}{16}\right)\)
\(D=\frac{1}{3}.\frac{15}{16}\)
\(D=\frac{5}{16}\)
a)=(3/8+10/16)+(7/12+10/24)
=1+1=2
c)=(4/6+14/6)+(7/13+19/13)+(17/9+1/9)
=3+2+2=7
c: =126-10-116+345=345
c) 126 + ( -10 ) + 345 + ( -116 )
= 345
d) 1+(-4)+7)+(-10)+13+(-16)
= -9