Tính nhanh
2. 3/7 + ( 2/9 . 1 3/7 ) - 5/3 : 1/9
mk đang gấp ai nhanh mk tick
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\(2A=\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+\frac{2}{9.11}=\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}\)
\(=1-\frac{1}{11}=\frac{10}{11}\)
\(\Rightarrow A=\frac{5}{11}\)
\(2B=\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{2017.2019}=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{2017}-\frac{1}{2019}\)
\(=1-\frac{1}{2019}=\frac{2018}{2019}\Rightarrow B=\frac{1009}{2019}\)
\(\frac{2}{7}C=\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{2017.2019}=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{2017}-\frac{1}{2019}\)
\(=1-\frac{1}{2019}=\frac{2018}{2019}\Rightarrow C=\frac{2018}{2019}:\frac{2}{7}=\frac{7063}{2019}\)
\(\frac{1}{3\cdot5}+\frac{1}{5\cdot7}+\frac{1}{7.9}+\cdot\cdot\cdot\cdot\cdot+\frac{1}{43\cdot45}\)
=\(\frac{1}{2}\cdot\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\cdot\cdot\cdot\cdot\cdot+\frac{1}{43}-\frac{1}{45}\right)\)
=\(\frac{1}{2}\cdot\left(\frac{1}{3}-\frac{1}{45}\right)\)
=\(\frac{1}{2}\cdot\frac{14}{45}\)
=\(\frac{7}{45}\)
Cảm ơn bạn nhiều nhiều nhiều nhiều nhiều nhiều nhiều nhiều nhiều nhiều nhiều nhiều nhiều nha
\(a,\frac{62}{7}:x=\frac{29}{9}:\frac{3}{56}\)
\(\frac{62}{7}:x=\frac{1624}{27}\)
\(x=\frac{62}{7}:\frac{1624}{27}=\frac{837}{5684}\)
\(b,\frac{1}{5}:x=\frac{1}{5}-\frac{1}{7}\)
\(\frac{1}{5}:x=\frac{2}{35}\)
\(x=\frac{1}{5}:\frac{2}{35}=\frac{7}{2}\)
\(c,\frac{2}{3}.x-\frac{4}{7}=\frac{1}{7}\)
\(\frac{2}{3}.x=\frac{1}{7}+\frac{4}{7}=\frac{5}{7}\)
\(x=\frac{5}{7}:\frac{2}{3}=\frac{15}{14}\)
\(d,\frac{2}{7}-\frac{8}{9}.x=\frac{2}{3}\)
\(\frac{8}{9}.x=\frac{2}{7}-\frac{2}{3}=-\frac{8}{21}\)
\(x=-\frac{8}{21}:\frac{8}{9}=-\frac{3}{7}\)
\(e,\frac{4}{7}+\frac{5}{9}:x=\frac{1}{5}\)
\(\frac{5}{9}:x=\frac{1}{5}-\frac{4}{7}=-\frac{13}{35}\)
\(x=\frac{5}{9}:-\frac{13}{35}=\frac{175}{117}\)
\(i,\frac{2}{5}-\frac{2}{5}.x=\frac{2}{5}\)
\(\frac{2}{5}.\left(1-x\right)=\frac{2}{5}\)
\(1-x=\frac{2}{5}:\frac{2}{5}=1\)
\(x=1-1=0\)
\(g,\frac{2}{3}+\frac{1}{3}:x=-1\)
\(\frac{1}{3}:x=-1-\frac{2}{3}=-\frac{5}{3}\)
\(x=\frac{1}{3}:-\frac{5}{3}=-\frac{1}{5}\)
học tốt nha
các bn lm đến đâu cx dc miễn là lm hộ mk cái ạ, ai đang lm vào nhắn tin vs mk để mk bít nha
a; \(-\dfrac{8}{3}+\dfrac{7}{5}-\dfrac{71}{15}< x< -\dfrac{13}{7}+\dfrac{19}{14}-\dfrac{7}{2}\)
-\(\dfrac{19}{15}\) - \(\dfrac{71}{15}\) < \(x\) < -\(\dfrac{1}{2}\) - \(\dfrac{7}{2}\)
-6 < \(x\) < -4
vì \(x\) \(\in\) Z nên \(x\) = -5
\(\frac{1}{7}.\frac{5}{9}+\frac{5}{9}.\frac{1}{7}+\frac{5}{9}.\frac{3}{7}\)
\(=\frac{5}{9}.\left(\frac{1}{7}+\frac{1}{7}+\frac{3}{7}\right)\)
\(=\frac{5}{9}.\frac{5}{7}=\frac{25}{63}\)
học vui!
A=3.(1/1.2+1/2.3+1/3.4+.....+1/399.400)
A=3.(1/1-1/2+1/2-1/3+......+1/399-1/400)
A=3.(1-1/400)
A=3.399/400
A=1197/400
A=3.(1/1.2+1/2.3+1/3.4+.....+1/399.400)
A=3.(1/1-1/2+1/2-1/3+......+1/399-1/400)
A=3.(1-1/400)
A=3.399/400
A=1197/400
a. 10 – 9 + 8 – 7 + 6 – 5 + 4 – 3 + 2 – 1
= (10 – 9) + (8 – 7) + (6 – 5) + (4 – 3) + (2 – 1)
= 1 + 1 + 1 + 1 + 1
= 5
b. 1 + 3 + 5 + 7 + 9 + 10 + 8 + 6 + 4 + 2 + 0
= (0 +10) +(1 + 9) + (2 + 8) + (3 + 7) + (4 + 6) + 5
= 10 + 10 + 10 + 10 + 10 + 5
= 55
a) 10 - 9 + 8 - 7 + 6 - 5 + 4 - 3 + 2 - 1
= (10 - 9) + (8 - 7) + (6 - 5) + (4 - 3) + (2 - 1)
= 1 + 1 + 1 + 1 + 1
= 1 x 5
= 5
b) 1 + 3 + 5 + 7 + 9 + 10 + 8 + 6 + 4 + 2 + 0
= 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
= (0 + 10) x 11 : 2
= 10 x 11 : 2
= 5 x 11
= 55
2 . \(\frac{3}{7}\) + (\(\frac{2}{9}\) . 1\(\frac{3}{7}\) ) - \(\frac{5}{3}\) : \(\frac{1}{9}\)
= \(\frac{6}{7}\) + (\(\frac{2}{9}\) . \(\frac{10}{7}\) ) -\(\frac{5}{3}\) . 9
=\(\frac{6}{7}\) +\(\frac{20}{63}\) - 15 = \(\frac{74}{63}\) -15 = \(\frac{-871}{63}\)
nó có đẹp ko
1 3/7 là hỗn số nhé ko phải 1 nhân 3/7 đâu