3/8+(x-5/24):2/3=1
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DN
16 tháng 6
=1 - \(\dfrac{1}{4}\) + \(\dfrac{1}{4}\) - \(\dfrac{1}{7}\) + \(\dfrac{1}{7}\) - \(\dfrac{1}{10}\) + ....... + \(\dfrac{1}{94}\) - \(\dfrac{1}{97}\) + \(\dfrac{1}{97}\) - \(\dfrac{1}{100}\)
= 1 - \(\dfrac{1}{100}\)
=\(\dfrac{99}{100}\)
17 tháng 6
\(\dfrac{3}{1.4}+\dfrac{3}{4.7}+\dfrac{3}{7.10}+...+\dfrac{3}{94.97}+\dfrac{3}{97.100}\)
3A = 3.\(\left(\dfrac{1}{1.4}+\dfrac{1}{4.7}+\dfrac{1}{7.10}+...+\dfrac{1}{94.97}+\dfrac{1}{97.100}\right)\)
3A = 3.\(\left(1-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{10}+...+\dfrac{1}{94}-\dfrac{1}{97}+\dfrac{1}{97}-\dfrac{1}{100}\right)\)
3A = 3.\(\left(1-\dfrac{1}{100}\right)\)
3A = 3.\(\dfrac{99}{100}\)
3A = \(\dfrac{297}{100}\)
A = \(\dfrac{297}{100}:3\)
A = \(\dfrac{297}{100}.\dfrac{1}{3}\)
A = \(\dfrac{99}{100}\)
NH
8
NQ
Nguyễn Quang Tâm
CTVHS
16 tháng 6
\(\dfrac{5}{8}+\dfrac{5}{12}=\dfrac{15}{24}+\dfrac{10}{24}=\dfrac{25}{24}\)
`#3107.101107`
\(\dfrac{3}{8}+\left(x-\dfrac{5}{24}\right)\div\dfrac{2}{3}=1\\ \left(x-\dfrac{5}{24}\right)\div\dfrac{2}{3}=1-\dfrac{3}{8}\\ \left(x-\dfrac{5}{24}\right)\div\dfrac{2}{3}=\dfrac{5}{8}\\ x-\dfrac{5}{24}=\dfrac{5}{8}\times\dfrac{2}{3}\\ x-\dfrac{5}{24}=\dfrac{5}{12}\\ x=\dfrac{5}{12}+\dfrac{5}{24}\\ x=\dfrac{5}{8}\)
Vậy, \(x=\dfrac{5}{8}.\)