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viết rõ lại cái đề giùm tui tui mới làm được
\(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)\left(1-\frac{1}{5}\right)\left(1-\frac{1}{6}\right)\)
\(=\left(\frac{2-1}{2}\right)\left(\frac{3-1}{3}\right)\left(\frac{4-1}{4}\right)\left(\frac{5-1}{5}\right)\left(\frac{6-1}{6}\right)\)
\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.\frac{4}{5}.\frac{5}{6}\)
\(=\frac{1}{6}\)
Ai đang online giải giúp mik nha:
A=1+8+27+64+125+216+343+512+729+1000
a) \(\frac{3}{2}-\frac{5}{6}:x=\frac{5}{15}-\frac{3}{15}\)
\(\Leftrightarrow\frac{3}{2}-\frac{5}{6}:x=\frac{2}{15}\)
\(\Leftrightarrow\frac{5}{6}:x=\frac{3}{2}-\frac{2}{15}\)
\(\Leftrightarrow\frac{5}{6}:x=\frac{41}{30}\)
\(\Leftrightarrow x=\frac{5}{6}:\frac{41}{30}\)
\(\Leftrightarrow x=\frac{25}{41}\)
b) \(x-\frac{6}{7}.\frac{14}{8}=\frac{1}{2}-\frac{2}{5}\)
\(\Leftrightarrow x-\frac{3}{2}=\frac{1}{10}\)
\(\Leftrightarrow x=\frac{1}{10}+\frac{3}{2}\)
\(\Leftrightarrow x=\frac{8}{5}\)
c) \(x:\frac{6}{5}+\frac{2}{3}=\frac{7}{3}\)
\(\Leftrightarrow x:\frac{6}{5}=\frac{7}{3}-\frac{2}{3}\)
\(\Leftrightarrow x:\frac{6}{5}=\frac{5}{3}\)
\(\Leftrightarrow x=\frac{5}{3}.\frac{6}{5}\)
\(\Leftrightarrow x=2\)
6 2/7 + 7 3/5 + 8 6/9 + 9 1/4 + 2/5 + 5/7 + 1/3 x 3/4 + 1967
= 44/7 + 38/5 + 78/9 + 37/4 + 2/5 + 5/7 + 1/3 + 1967
= ( 44/7 + 5/7 ) + ( 38/5 + 2/5 ) + ( 26/3 + 1/3 ) + ( 37/4 + 3/4 ) +1967
= 7 + 8 + 9 + 10 + 1967
= 15 + 9 + 10 + 1967
= 24 + 10 + 1967
= 34 + 1967
= 2001
\(\frac{7}{9}\cdot\frac{3}{5}-x=\frac{1}{4}\)
\(=\frac{7}{15}-x=\frac{1}{4}\)
\(x=\frac{7}{15}-\frac{1}{4}\)
\(x=\frac{13}{60}\)
x * 4/3 - x *1/3 = 2/9
x * (4/3-1/3) = 2/9
x * 1 = 2/9
x = 2/9
\(x\cdot\frac{4}{3}-x\cdot\frac{1}{3}=\frac{2}{9}\)
\(x\cdot\frac{4-1}{3}=\frac{2}{9}\)
\(x\cdot1=\frac{2}{9}\)
\(x=\frac{2}{9}:1\)
\(x=\frac{2}{9}\)
9/2 - 1/6 . x = 3/12
-> 1/6 . x = 9/2 - 3/12
-> 1/6 . x = 17/4
-> x = 17/4 : 1/6
-> x = 51/2
15/286