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\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+.....+\frac{1}{99.100}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+.....+\frac{1}{99}-\frac{1}{100}\)
\(=1-\frac{1}{100}\)
\(=\frac{99}{100}\)
Dấu chấm là nhân
a) \(\frac{1}{1.2}+\frac{1}{2.3}+....+\frac{1}{99.100}\) \(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+....+\frac{1}{99}-\frac{1}{100}=1-\frac{1}{100}=\frac{99}{100}\)
b) \(\frac{2}{1.3}+\frac{2}{3.5}+...+\frac{2}{97.99}\) \(=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+....+\frac{1}{97}-\frac{1}{99}=1-\frac{1}{99}=\frac{98}{99}\)
c) Đặt \(C=\frac{4}{5.7}+\frac{4}{7.9}+....+\frac{4}{59.61}\)
\(\Rightarrow\frac{1}{2}C=\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+....+\frac{1}{59}-\frac{1}{61}\)
\(\Rightarrow\frac{1}{2}C=\frac{1}{5}-\frac{1}{61}=\frac{56}{305}\)
\(\Rightarrow C=\frac{56}{305}:\frac{1}{2}=\frac{112}{305}\)
CHÚC BẠN HỌC TỐT NHA! ĐÚNG THÌ NHA!
x=(1+2+3-4-5-6)+...+(97+98+99-100-101-102)
x=-9+...+-9
x=-9.17
x=-153
M = 1 +2 -3 -4 +5 +6 -7 -8 +9 +....+994 -995 -996 +997 +998
M = 1 +(2 +5 -3 -4) + (6 +9 -7 -8)+....+(994 +997 -995 -996) +998
M = 1 +0 +0 +....+0 +998
M = 999.
(\(\frac{3}{4}\). x ): \(\frac{1}{2}\)=\(\frac{4}{5}\)
x = \(\frac{4}{5}\).\(\frac{1}{2}\)
x = \(\frac{4}{10}\)= \(\frac{2}{5}\)
x = \(\frac{2}{5}\): \(\frac{3}{4}\)
x = \(\frac{8}{15}\)
hok tốt
\(\left[7\times13+8\times13\right]:\left[9\frac{2}{3}-y\right]=39\)
\(\left[\left(7+8\right)\times13\right]:\left[\frac{29}{3}-y\right]=39\)
\(\left[15\times13\right]:\left[\frac{29}{3}-y\right]=39\)
\(195:\left[\frac{29}{3}-y\right]=39\)
\(\frac{29}{3}-y=195:30\)
\(\frac{29}{3}-y=\frac{13}{2}\)
\(y=\frac{29}{3}-\frac{13}{2}\)
\(y=\frac{19}{6}\)
Học tốt #
[ 7 x 13 + 8 x 13 ] : [ \(9\frac{2}{3}\) - y ] = 39
[ 13 x ( 7 + 8 )] : [ \(9\frac{2}{3}\)- y ] = 39
[ 13 x 15 ] : [\(9\frac{2}{3}\) - y ] = 39
195 : [\(\frac{29}{3}\) - y ] = 39
[ \(\frac{29}{3}\) - y ] = 195 : 39 (*1 )
[\(\frac{29}{3}-y\)] = 5
y = \(\frac{29}{3}-5\)
y = \(\frac{14}{3}\)
2 trường hợp mà
-3/4-x/=-9
/4-x/=-9:(-3)
/4-x/=3
suy ra :x=1