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=\(\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+\frac{1}{6}-\frac{1}{8}\)
=\(\frac{1}{2}-\frac{1}{8}\)
=\(\frac{3}{8}\)
\(A=\frac{5}{2.4}+\frac{5}{4.6}+...+\frac{5}{98.100}\)
\(A=\frac{5}{2}.\left(\frac{2}{2.4}+\frac{2}{4.6}+...+\frac{2}{98.100}\right)\)
\(A=\frac{5}{2}.\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+...+\frac{1}{98}-\frac{1}{100}\right)\)
\(A=\frac{5}{2}.\left(1-\frac{1}{100}\right)\)
\(A=\frac{5}{2}.\frac{99}{100}=\frac{99}{40}\)
(1,4 + 2,6) x 2 = 4 x 2 = 8
70 : (4,6 + 3,4 - 1) = 70 : 7 = 10
\(\left(1,4+2,6\right)\times2\)
\(=4\times2=8\)
\(70\div\left(4,6+3,4-1\right)\)
\(=70\div7=10\)
a, 32,5x6,5+3,5x32,5
=32,5x(6,5+3,5)
=32,5x10
=325
b, =48788,5
c, \(=\frac{29}{20}=1,45\)
d, \(=\frac{49}{40}=1,225\)
\(\frac{3}{6.8}+\frac{3}{8.10}+.......+\frac{3}{198.200}\)
\(=\frac{3}{2}.\left(\frac{2}{6.8}+\frac{2}{8.10}+........+\frac{2}{198.200}\right)\)
\(=\frac{3}{2}.\left(\frac{1}{6}-\frac{1}{8}+\frac{1}{8}-\frac{1}{10}+........+\frac{1}{198}-\frac{1}{200}\right)\)
\(=\frac{3}{2}.\left(\frac{1}{6}-\frac{1}{200}\right)\)
\(=\frac{3}{2}.\frac{97}{600}=\frac{97}{400}\)
\(3.\left(\frac{2}{6.8}+\frac{2}{8.10}+....+\frac{2}{198.200}\right).\frac{1}{2}\)
=\(3.\left(\frac{1}{6}-\frac{1}{8}+\frac{1}{8}-\frac{1}{10}+...+\frac{198}{200}\right).\frac{1}{2}\)
=\(3.\left(\frac{1}{6}-\frac{1}{200}\right).\frac{1}{2}\)
=.\(3.\frac{97}{600}.\frac{1}{2}\)=97/400
6A=2.4.6+4.6.(8-2)+.........+50.52.(54-48)
6A=2.4.6+4.6.8-2.4.6+............+50.52.54-48.50.52
6A=50.52.54
A=50.52.54:6
A=23400