29/35-3/5
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\(\left(19\frac{5}{8}:\frac{7}{12}-13\frac{1}{4}:\frac{7}{12}\right).\frac{4}{5}\)
\(=\left(\frac{157}{8}:\frac{7}{12}-\frac{53}{4}:\frac{7}{12}\right).\frac{4}{5}\)
\(=\left[\left(\frac{157}{8}-\frac{53}{4}\right):\frac{7}{12}\right].\frac{4}{5}\)
\(=\left[\frac{51}{8}:\frac{7}{12}\right].\frac{4}{5}\)
\(=\frac{153}{14}.\frac{4}{5}\)
\(=\frac{306}{35}\)
\(\left(\frac{-2}{5}+\frac{3}{7}\right)-\left(\frac{4}{9}+\frac{12}{20}-\frac{13}{35}\right)+\frac{7}{35}\)
\(=\frac{1}{35}-\frac{212}{315}+\frac{7}{35}\)
\(=\frac{1}{35}+\frac{-212}{315}+\frac{7}{35}\)
\(=\frac{9}{315}+\frac{-212}{315}+\frac{63}{315}\)
\(=\frac{-140}{315}=\frac{-4}{9}\)
a) Đặt tính rồi tính ta có:
\(\begin{array}{*{20}{c}}{ + \begin{array}{*{20}{c}}{12}\\{\,\,8}\end{array}}\\\hline{\,\,\,20}\end{array}\) \(\begin{array}{*{20}{c}}{ + \begin{array}{*{20}{c}}{33}\\{\,\,7}\end{array}}\\\hline{\,\,\,40}\end{array}\)
\(\begin{array}{*{20}{c}}{ + \begin{array}{*{20}{c}}{65}\\{\,\,5}\end{array}}\\\hline{\,\,\,70}\end{array}\) \(\begin{array}{*{20}{c}}{ + \begin{array}{*{20}{c}}{84}\\{\,\,6}\end{array}}\\\hline{\,\,\,90}\end{array}\)
Vậy ta có kết quả như sau:
b)
\(\begin{array}{*{20}{c}}{ + \begin{array}{*{20}{c}}{35}\\{\,\,\,5}\end{array}}\\\hline{\,\,\,\,40}\end{array}\) \(\begin{array}{*{20}{c}}{ + \begin{array}{*{20}{c}}{69}\\{\,\,\,4}\end{array}}\\\hline{\,\,\,\,73}\end{array}\)
\(\begin{array}{*{20}{c}}{ + \begin{array}{*{20}{c}}{19}\\{\,\,\,3}\end{array}}\\\hline{\,\,\,\,22}\end{array}\) \(\begin{array}{*{20}{c}}{ + \begin{array}{*{20}{c}}{29}\\{\,\,\,6}\end{array}}\\\hline{\,\,\,\,35}\end{array}\)
1) 2310 : 35 = 66
2) 598 : 23 = 26
3) 1596 : 42 = 38
4) 1044 : 29 = 36
5) 4968 : 72 = 69
45 - 5.(11 + 9)
= 45 - 55 - 45 = - 55
b) mk chỉnh lại đề câu b)
40.(29 - 35) - 29.(40 - 35)
= 40.29 - 40.35 - 29.40 + 29.35
= 35.(29 - 40) = - 385
\(\dfrac{\sqrt{8}+3}{\sqrt{17-3\sqrt{32}}}-\dfrac{3-2\sqrt{5}}{\sqrt{29-12\sqrt{5}}}-\dfrac{1}{\sqrt{12+2\sqrt{35}}}\)
\(=\dfrac{2\sqrt{2}+3}{\sqrt{17-12\sqrt{2}}}-\dfrac{3-2\sqrt{5}}{\sqrt{29-12\sqrt{5}}}-\dfrac{1}{\sqrt{12+2\sqrt{35}}}\)
\(=\dfrac{2\sqrt{2}+3}{\sqrt{3^2-2\cdot3\cdot2\sqrt{2}+\left(2\sqrt{2}\right)^2}}-\dfrac{3-2\sqrt{5}}{\sqrt{3^2-2\cdot3\cdot2\sqrt{5}+\left(2\sqrt{5}\right)^2}}-\dfrac{1}{\sqrt{\left(\sqrt{5}\right)^2+2\sqrt{5}\cdot\sqrt{7}+\left(\sqrt{7}\right)^2}}\)
\(=\dfrac{2\sqrt{2}+3}{\sqrt{\left(2\sqrt{2}-3\right)^2}}-\dfrac{3-2\sqrt{5}}{\sqrt{\left(3-2\sqrt{5}\right)^2}}-\dfrac{1}{\sqrt{\left(\sqrt{5}+\sqrt{7}\right)^2}}\)
\(=\dfrac{2\sqrt{2}+3}{2\sqrt{2}-3}+\dfrac{3-2\sqrt{5}}{3-2\sqrt{5}}-\dfrac{1}{\sqrt{5}+\sqrt{7}}\)
\(=\dfrac{\left(2\sqrt{2}+3\right)^2}{\left(2\sqrt{2}+3\right)\left(2\sqrt{2}-3\right)}+1-\dfrac{\sqrt{5}-\sqrt{7}}{\left(\sqrt{5}+\sqrt{7}\right)\left(\sqrt{5}-\sqrt{7}\right)}\)
\(=17-12\sqrt{2}+1-\dfrac{\sqrt{5}-\sqrt{7}}{2}\)
\(=\dfrac{2\cdot\left(18-12\sqrt{2}\right)}{2}-\dfrac{\sqrt{5}-\sqrt{7}}{2}\)
\(=\dfrac{36-24\sqrt{2}-\sqrt{5}+\sqrt{7}}{2}\)
( x - 5 ) * 3 - 140 : 35 = 152
( x - 5 ) * 3 - 4 = 152
( x - 5 ) * 3 = 152 + 4
( x - 5 ) * 3 = 156
x - 5 = 156 : 3
x - 5 = 52
x = 52 + 5
( x + 1 ) + ( x + 5 ) + ... + ( x + 29 ) = 136
Dãy số trên gồm:( 29 - 1 ) : 4 + 1 = 8 ( số hạng )
Ta có : ( x + 29 + x + 1 ) x 8 : 2 = 136
( x * 2 + 30 ) x 4 = 136
x * 2 + 30 = 136 : 4
x * 2 + 30 = 34
x * 2 = 34 - 30
x * 2 = 4
x = 4 : 2
x = 2
Đây là bài toán lớp 4 chứ không phải là lớp 6
( x - 5 ) * 3 - 140 : 35 = 152
( x - 5 ) * 3 - 4 = 152
( x - 5 ) * 3 = 152 + 4
( x - 5 ) * 3 = 156
x - 5 = 156 : 3
x - 5 = 52
x = 52 + 5
( x + 1 ) + ( x + 5 ) + ... + ( x + 29 ) = 136
Dãy số trên gồm:( 29 - 1 ) : 4 + 1 = 8 ( số hạng )
Ta có : ( x + 29 + x + 1 ) x 8 : 2 = 136
( x * 2 + 30 ) x 4 = 136
x * 2 + 30 = 136 : 4
x * 2 + 30 = 34
x * 2 = 34 - 30
x * 2 = 4
x = 4 : 2
x = 2
tính : 3/17 . 6/29 - 3/17 . 35/29 + 2022 3/17
b, 5/6-(1/3+1/2). 20%
c,9.5+(-13,2)+12,5+(-0,8)
\(\dfrac{29}{35}-\dfrac{3}{5}=\dfrac{29}{35}-\dfrac{21}{35}=\dfrac{8}{35}\)
29/35 - 21/35 = 8/35