Rút gọn rồi tính :
\(\frac{22}{77}\)+ \(\frac{56}{98}\)+ \(\frac{25}{105}\)
aNH CHỊ BỐ THÍ GIÚP EM CÂU COMMENT
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\(\frac{22}{77}+\frac{56}{98}+\frac{25}{105}\)
\(=\frac{6}{7}+\frac{25}{105}\)
\(=\frac{23}{21}=1\frac{2}{21}\)
a)\(\dfrac{22}{25}+\dfrac{25}{125}+\dfrac{36}{96}\)
\(=\dfrac{22}{25}+\dfrac{1}{5}+\dfrac{3}{8}\)
\(=\dfrac{176}{200}+\dfrac{40}{200}+\dfrac{75}{200}\)
\(=\dfrac{291}{200}\)
b)\(\dfrac{22}{77}+\dfrac{56}{98}+\dfrac{25}{105}\)
\(=\dfrac{2}{7}+\dfrac{4}{7}+\dfrac{5}{21}\)
\(=\dfrac{6}{7}+\dfrac{5}{21}\)
\(=\dfrac{18}{21}+\dfrac{5}{21}=\dfrac{23}{21}\)
Giải 2 bài luôn
Rút gọn:
\(Y=\frac{1}{\sqrt{1}+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+....+\frac{1}{\sqrt{99}-\sqrt{100}}\)
\(Y=\sqrt{2}-\sqrt{1}+\sqrt{2}-\sqrt{3}+....+\sqrt{100}-\sqrt{99}\)
\(Y=\sqrt{10}-1\)
\(Y=9\)
Tính:
\(Y=\frac{2014}{\sqrt{1}+\sqrt{2}}+\frac{2014}{\sqrt{2}+\sqrt{3}}+....+\frac{2014}{\sqrt{99}+\sqrt{100}}\)
\(Y=\sqrt{2}-\sqrt{1}+\sqrt{2}-\sqrt{3}+...+\sqrt{100}-\sqrt{99}\)
\(Y=\sqrt{10}-1\)
\(Y=9\)
\(Y=2014.9\)
\(Y=18126\)
Ta có : \(\frac{45}{65}=\frac{9}{13};\frac{48}{52}=\frac{12}{13};\frac{1010}{1313}=\frac{10}{13}\)
\(=>\frac{9}{13}< \frac{10}{13}< \frac{12}{13}\)
\(\left[\frac{\sqrt{5}\left(1+\sqrt{5}\right)}{\sqrt{5}}+\frac{\sqrt{2}\left(\sqrt{2}-1\right)}{1-\sqrt{2}}\right].\frac{\sqrt{2}+\sqrt{5}}{1}=1+\left(\sqrt{5}-\sqrt{2}\right)\left(\sqrt{2}+\sqrt{5}\right)=1+3=4\)
\(\frac{15}{25}=\frac{3}{5}\)
k cho mik nha các bn làm ơn
\(\frac{22}{77}+\frac{56}{98}+\frac{25}{105}\)
\(\frac{2}{7}+\frac{4}{7}+\frac{5}{21}\)
\(\frac{23}{21}\)
2/7 +4/7+5/21=6/7+5/21=23/21