Tính a)(1+1/2).(1+1/3).(1+1/4).(1+1/5).(1+1/6).(1+1/7)
Làm rõ ràng cho mk nhé
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A= -5/1/7+32/5=0.22857142857142286
B= -2/1/3-1/2/7=119047619047619
a)\(\left(x+3\right)\times5+1=20\Leftrightarrow5x+15=19\)
\(\Leftrightarrow5x=4\Leftrightarrow x=\frac{4}{5}\)
b)sai đề
c)\(2\frac{3}{7}\times x+1\frac{5}{4}=5\frac{3}{42}\)\(\Leftrightarrow\frac{17}{7}\times x+\frac{9}{4}=\frac{71}{14}\) \(\Leftrightarrow\frac{17}{7}\times x+\frac{63}{28}=\frac{142}{28}\)
\(\Leftrightarrow\frac{17}{7}\times x=\frac{79}{28}\Leftrightarrow x=\frac{17}{7}:\frac{79}{28}\) \(\Leftrightarrow x=\frac{17}{7}\times\frac{28}{79}\Leftrightarrow x=\frac{476}{553}=\frac{68}{79}\)
d)\(10\frac{2}{3}-x:\frac{6}{7}=8\frac{1}{3}-6\frac{2}{7}\Leftrightarrow\frac{32}{3}-x:\frac{6}{7}=\frac{25}{3}-\frac{44}{7}\) \(\Leftrightarrow\frac{224}{21}-x:\frac{6}{7}=\frac{75}{21}-\frac{132}{21}\Leftrightarrow-\frac{57}{21}-\frac{224}{21}\)
\(\Leftrightarrow-x:\frac{6}{7}=-\frac{281}{21}\Leftrightarrow-x=-\frac{281}{21}\times\frac{6}{7}\) \(\Leftrightarrow-x=-\frac{1686}{147}\Leftrightarrow x=\frac{562}{49}=11\frac{23}{49}\)
a) ( x + 3 ) × 5 + 1 = 20 ⇔ 5 x + 15 = 19 (x+3)×5+1=20⇔5x+15=19 ⇔ 5 x = 4 ⇔ x = 4 5 ⇔5x=4⇔x= 5 4 b)sai đề c) 2 3 7 × x + 1 5 4 = 5 3 42 2 7 3 ×x+1 4 5 =5 42 3 ⇔ 17 7 × x + 9 4 = 71 14 ⇔ 7 17 ×x+ 4 9 = 14 71 ⇔ 17 7 × x + 63 28 = 142 28 ⇔ 7 17 ×x+ 28 63 = 28 142 ⇔ 17 7 × x = 79 28 ⇔ x = 17 7 : 79 28 ⇔ 7 17 ×x= 28 79 ⇔x= 7 17 : 28 79 ⇔ x = 17 7 × 28 79 ⇔ x = 476 553 = 68 79 ⇔x= 7 17 × 79 28 ⇔x= 553 476 = 79 68 d) 10 2 3 − x : 6 7 = 8 1 3 − 6 2 7 ⇔ 32 3 − x : 6 7 = 25 3 − 44 7 10 3 2 −x: 7 6 =8 3 1 −6 7 2 ⇔ 3 32 −x: 7 6 = 3 25 − 7 44 ⇔ 224 21 − x : 6 7 = 75 21 − 132 21 ⇔ − 57 21 − 224 21 ⇔ 21 224 −x: 7 6 = 21 75 − 21 132 ⇔− 21 57 − 21 224 ⇔ − x : 6 7 = − 281 21 ⇔ − x = − 281 21 × 6 7 ⇔−x: 7 6 =− 21 281 ⇔−x=− 21 281 × 7 6 ⇔ − x = − 1686 147 ⇔ x = 562 49 = 11 23 49 ⇔−x=− 147 1686 ⇔x= 49 562 =11 49 23
A = 1 + ( -2 ) + ( -3 ) + 4 + .... + 99 - 100 - 101 + 102 + 103
= -1 + 1 + ...... + ( -1 ) - 101 + 102 + 103
= 0 - 101 + 102 + 103
= 104
K tự tin lắm
a) \(\dfrac{2}{3}\times\dfrac{1}{4}-\dfrac{1}{3}\times\dfrac{1}{2}=\dfrac{2}{12}-\dfrac{1}{6}=\dfrac{1}{6}-\dfrac{1}{6}=\dfrac{0}{6}=0\)
b) \(\dfrac{8}{5}\times\dfrac{1}{4}-\dfrac{2}{5}\times\dfrac{1}{2}-\dfrac{1}{2}\times\dfrac{1}{5}=\dfrac{8}{20}-\dfrac{2}{10}-\dfrac{1}{10}=\dfrac{4}{10}-\dfrac{2}{10}-\dfrac{1}{10}=\dfrac{4-2-1}{10}=\dfrac{1}{10}\)
Ta có 1/2*3=1/2-1/3;
1/3*4=1/3-1/4
......................(tương tự với các số khác)
1/149*150=1/149-1/150
=>A=1/2-1/3+1/3-1/4+1/4-1/5+...-1/149+1/149-1/150=1/2-1/150
A=75/150-1/150=74/150=37/75
Vậy A= 37/75
\(\left(1+\frac{1}{2}\right).\left(1+\frac{1}{3}\right).\left(1+\frac{1}{4}\right).\left(1+\frac{1}{5}\right).\left(1+\frac{1}{6}\right).\left(1+\frac{1}{7}\right)\)
\(=\frac{3}{2}.\frac{4}{3}.\frac{5}{4}.\frac{6}{5}.\frac{7}{6}.\frac{8}{7}\)
\(=\frac{3.4.5.6.7.8}{2.3.4.5.6.7}\)
\(=\frac{8}{2}\)
\(=4\)
a) \(\left(1+\frac{1}{2}\right).\left(1+\frac{1}{3}\right).\left(1+\frac{1}{4}\right).\left(1+\frac{1}{5}\right).\left(1+\frac{1}{6}\right).\left(1+\frac{1}{7}\right)\)
= \(\frac{3}{2}.\frac{4}{3}.\frac{5}{4}.\frac{6}{5}.\frac{7}{6}.\frac{8}{7}\)
= \(\frac{3.4.5.6.7.8}{2.3.4.5.6.7}\)
= \(4\)