113/15 : 0,75 - ( 3/5 + 25%) : 3,4 - 312/13 : 3
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=28/15*3/4-(104/195+1/4)*24/47-(1+4/13)
=7/5-2/5-1-4/13
=-4/13
\(1\dfrac{13}{15}.0,75-\left(\dfrac{8}{15}+25\%\right).\dfrac{24}{47}-3\dfrac{12}{13}:3\)
\(=\dfrac{28}{15}.\dfrac{3}{4}-\left(\dfrac{8}{15}+\dfrac{1}{4}\right).\dfrac{24}{47}-\dfrac{51}{13}:3\)
\(=\dfrac{7}{5}-\dfrac{47}{60}.\dfrac{24}{47}-\dfrac{17}{13}\)
\(=\dfrac{7}{5}-\dfrac{2}{5}-\dfrac{17}{13}\)
\(=1-\dfrac{17}{13}=-\dfrac{4}{13}\)
a:\(=5-\dfrac{7}{39}\cdot\dfrac{13}{7}+\dfrac{2}{9}=5-1+\dfrac{2}{9}=4+\dfrac{2}{9}=\dfrac{38}{9}\)
b: \(=\dfrac{28}{15}:\dfrac{3}{4}-\left(\dfrac{11}{20}+\dfrac{5}{20}\right)\cdot\dfrac{3}{7}\)
\(=\dfrac{112}{45}-\dfrac{4}{5}\cdot\dfrac{3}{7}\)
\(=\dfrac{112}{45}-\dfrac{12}{35}=\dfrac{676}{315}\)
= 4/9 : -8 - (-1/4 + 9/20) : 14/5
= 4/9 : -8 - 1/5 : 14/5
= -1/18 - 1/5 : 14/5
= -1/18 - 1/14
= -8/63
\(1\frac{13}{15}.0,75-\left(\frac{11}{20}+25\%\right):\frac{7}{3}\)
\(=\frac{28}{15}.\frac{3}{4}-\left(\frac{11}{20}+\frac{1}{4}\right):\frac{7}{3}\)
\(=\frac{7}{5}-\frac{4}{5}.\frac{3}{7}\)
\(=\frac{7}{5}-\frac{12}{35}\)
\(=\frac{37}{35}\)
Đặt A=\(1\frac{13}{15}\). \(0,75\) - (\(\frac{11}{20}\)+25%):\(\frac{7}{3}\)
A=\(\frac{28}{15}\). \(\frac{3}{4}\)-(\(\frac{11}{20}\)+\(\frac{1}{4}\)). \(\frac{3}{7}\)
A=\(\frac{7}{5}\)- \(\frac{4}{5}\).\(\frac{3}{7}\)
A=\(\frac{7}{5}\)-\(\frac{12}{35}\)
A=\(\frac{37}{35}\)
\(\dfrac{1}{2}+\dfrac{3}{4}-\left(\dfrac{3}{4}-\dfrac{4}{5}\right)\)
=\(\dfrac{1}{2}+\dfrac{3}{4}-\dfrac{3}{4}+\dfrac{4}{5}\)
=\(\left(\dfrac{1}{2}+\dfrac{4}{5}\right)+\left(\dfrac{3}{4}-\dfrac{3}{4}\right)\)
=\(\left(\dfrac{5}{10}+\dfrac{8}{10}\right)+0\)
=\(\dfrac{13}{10}\)
\(-\dfrac{7}{25}.\dfrac{11}{13}+\left(-\dfrac{7}{25}\right).\dfrac{2}{13}-\dfrac{18}{25}\)
=\(-\dfrac{7}{25}.\cdot\left(\dfrac{11}{13}+\dfrac{2}{13}\right)-\dfrac{18}{25}\)
=\(-\dfrac{7}{25}.1-\dfrac{18}{25}\)
=\(-\dfrac{7}{25}-\dfrac{18}{25}\)
=\(-\dfrac{25}{25}\) = \(-1\)
a) \(113.15-13.15+\left(-500\right)=15.\left(113-13\right)+\left(-500\right)\)
\(=15.100+\left(-500\right)\)
\(=1500+\left(-500\right)\)
\(=1000\)
c) \(\left(3x-12\right):2=4^2.3\)
\(\left(3x-12\right):2=16.3\)
\(3x-12=16.3.2\)
\(3x-12=96\)
\(3x=108\)
\(x=36\)
d) \(25-\left|x\right|=12\)
\(\left|x\right|=25-12\)
\(\left|x\right|=13\)
\(\Rightarrow x\in\left\{-13;13\right\}\)
b) \(\left(3^2.5-60:2^2\right)-20.10^0=\left(9.5-60:4\right)-20.1\)
\(=\left(45-15\right)-20\)
\(=30-20\)
\(=10\)
Lưu ý: -Dấu "." là dấu nhân
- Đề bài này là đúng (đã trao đổi với Nguyễn Phương Thảo 2008)
113/15 : 0,75 - ( 3/5 + 25%) : 3,4 - 312/13 : 3
= 1 : 0,75 - (3/5 + 1/4): 3,4 - 312/13 : 3
= 100/75 - 17/20 : 3,4 - 3-1/13
= 4/3 - 17/20 : 34/10 - 3-1/13
= 4/3 - 1/4 - 3-1/13
= 13/12 - 3-1/13