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B = \(\dfrac{2}{35}\) + \(\dfrac{4}{77}\) + \(\dfrac{2}{143}\) + \(\dfrac{4}{221}\) + \(\dfrac{2}{323}\) + \(\dfrac{4}{437}\) + \(\dfrac{2}{575}\) (như này mới đúng em ơi)
C = 8 : \(\dfrac{4}{5}\) - 7\(\dfrac{1}{5}\) x \(\dfrac{5}{4}\)
C = 8 x \(\dfrac{5}{4}\) - \(\dfrac{36}{5}\) x \(\dfrac{5}{4}\)
C = \(\dfrac{5}{4}\) x (8 - \(\dfrac{36}{5}\))
C = \(\dfrac{5}{4}\) x (\(\dfrac{40}{5}\) - \(\dfrac{36}{5}\))
C = \(\dfrac{5}{4}\) x \(\dfrac{4}{5}\)
C = 1
\(\frac{2}{3}+\frac{3}{4}=\frac{17}{12}\)
\(\frac{1}{2}-\frac{1}{4}=\frac{1}{4}\)
\(\frac{2}{5}x\frac{3}{5}=\frac{6}{25}\)
\(\frac{9}{4}>\frac{9}{5}\)
\(\frac{2}{3}+\frac{3}{4}=\frac{8}{12}+\frac{9}{12}=\frac{17}{12}\)
\(\frac{1}{2}-\frac{1}{4}=\frac{2}{4}-\frac{1}{4}=\frac{1}{4}\)
\(\frac{2}{5}\cdot\frac{3}{5}=\frac{6}{25}\)
So sánh \(\frac{9}{4}\)và \(\frac{9}{5}\)
Vì tử số của hai phân số bằng nhau nên ta chỉ xét mẫu số, nếu mẫu số nào lớn hơn thì phân số đó bé hơn.
Vậy \(\frac{9}{4}\)và\(\frac{9}{5}\)mà\(4< 5\)nên\(\frac{9}{4}>\frac{9}{5}\)
a; \(\dfrac{2}{5}\) x \(\dfrac{3}{4}\) + \(\dfrac{6}{15}\) : \(\dfrac{4}{9}\) x 5
= \(\dfrac{3}{10}\) + \(\dfrac{2}{5}\) x \(\dfrac{9}{4}\) x 5
= \(\dfrac{3}{10}\) + \(\dfrac{9}{10}\) x 5
= \(\dfrac{3}{10}\) + \(\dfrac{45}{10}\)
= \(\dfrac{48}{10}\)
= \(\dfrac{24}{5}\)
b; \(\dfrac{25}{12}\) x \(\dfrac{18}{35}\) x \(\dfrac{63}{24}\)
= \(\dfrac{15}{14}\) x \(\dfrac{63}{24}\)
= \(\dfrac{45}{16}\)
c; 4\(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) : 5\(\dfrac{1}{2}\)
= \(\dfrac{9}{2}\) + \(\dfrac{1}{2}\) : \(\dfrac{11}{2}\)
= \(\dfrac{9}{2}\) + \(\dfrac{1}{11}\)
= \(\dfrac{99}{22}\) + \(\dfrac{2}{22}\)
= \(\dfrac{101}{22}\)
\(a,\frac{2}{5}:\frac{6}{5}+\frac{3}{4}.\frac{12}{5}\)
=\(\frac{2}{5}.\frac{5}{6}+\frac{9}{5}\)
=\(\frac{1}{3}+\frac{9}{5}\)
=\(\frac{32}{5}\)
b) \(\frac{17}{5}.\frac{3}{5}.\frac{17}{5}.\frac{2}{5}\)
=\(\frac{17}{5}.\left(\frac{3}{5}.\frac{2}{5}\right)\)
=\(\frac{17}{5}.\frac{6}{25}\)
=\(\frac{102}{125}\)
c)\(\frac{1}{4}+\frac{3}{4}.\frac{2}{3}-\frac{1}{2}\)
=\(\frac{1}{4}+\frac{1}{2}-\frac{1}{2}\)
=\(\frac{1}{4}\)
d)\(\frac{6}{7}+\frac{5}{8}:5\)
=\(\frac{6}{7}+\frac{5}{8}.\frac{1}{5}\)
=\(\frac{6}{7}+\frac{1}{8}\)
=\(\frac{48}{56}+\frac{7}{56}\)
=\(\frac{55}{56}\)
tk nhé bn!
đặt \(A=\frac{1}{2.2}+\frac{1}{3.3}+\frac{1}{4.4}+\frac{1}{5.5}+\frac{1}{6.6}+\frac{1}{7.7}+\frac{1}{8.8}=\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+\frac{1}{5^2}+\frac{1}{6^2}+\frac{1}{7^2}+\frac{1}{8^2}\)
\(A
\(\frac{1}{1.3}+\frac{1}{3.2}+\frac{1}{2.5}+...+\frac{1}{99.100}\)
= \(2.\left(\frac{1}{1.3.2}+\frac{1}{3.2.2}+\frac{1}{2.5.2}+...+\frac{1}{99.50.2}\right)\)
= \(2.\left(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{99.100}\right)\)
= \(2.\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{99}-\frac{1}{100}\right)\)
= \(2.\left(\frac{1}{2}-\frac{1}{100}\right)\)
= \(2.\frac{49}{100}\)
= \(\frac{49}{50}\)
Đặt A=1/3x1 + 1/3x5 + ......+ 1/95x97 + 1/97x99
\(2A=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{97}-\frac{1}{99}\)
\(2A=1-\frac{1}{99}\)
\(A=\frac{98}{99}:2\)
\(A=\frac{49}{99}\)
\(\frac{2}{5}\times\frac{3}{4}\times\frac{6}{15}:\frac{4}{9}\times5=\frac{2\times3\times6\times9\times5}{5\times4\times15\times4}=\frac{27}{20}\)
2/5 x 3/4 x 6/15 : 4/9 x 5 = 6/20 x 6/15 : 4/9 x 5 = 36/300 : 4/9 x 5 = 324/1200 x 5 = 1620/1200
\(\dfrac{1}{5}\times\dfrac{3}{4}+\dfrac{1}{5}\times\dfrac{5}{4}-\dfrac{1}{5}\\ =\dfrac{1}{5}\times\left(\dfrac{3}{4}+\dfrac{5}{4}-1\right)\\ =\dfrac{1}{5}\times\left(2-1\right)\\ =\dfrac{1}{5}\times1\\ =\dfrac{1}{5}\)
`1/5 xx 3/4 + 1/5 xx 5/4 - 1/5`
`= 1/5 xx (3/4 + 5/4 - 1) `
`= 1/5 xx (8/4 - 1) `
`= 1/5 xx (2 - 1) `
`= 1/5 xx 1`
`= 1/5`