Tính giá trị biểu thức :
1,25 + 1\(\frac{1}{2}\)+ 50% + 1\(\frac{3}{4}\)+ 0,45 + 2,55
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a: \(A=\dfrac{1}{9}:\dfrac{1}{9}:\left(\dfrac{10+7}{15}:\dfrac{12-5}{30}\right)\)
\(=1:\left(\dfrac{17}{15}\cdot\dfrac{30}{7}\right)=1:\dfrac{34}{7}=\dfrac{7}{34}\)
b: \(=\left(5.6+0.64\right)\cdot1.25\cdot\dfrac{19}{3}+31.64\)
\(=\dfrac{39}{5}\cdot\dfrac{19}{3}+\dfrac{791}{25}=\dfrac{2026}{25}\)
a: \(A=\left(0+1\right):\left(\dfrac{2}{3}+\dfrac{7}{6}-\dfrac{1}{6}\right)=1:\dfrac{5}{3}=\dfrac{3}{5}\)
b: \(B=\left[0.8\cdot15\right]\cdot\left[1.25\cdot\dfrac{19}{3}\right]+31.64=15\cdot\dfrac{95}{12}+31.64=150.39\)
P= \(\frac{1}{3}\)+\(\frac{1}{6}+\frac{1}{10}+\frac{1}{15}+......+\frac{1}{1275}\)
Ta nhân tất cả phân số với 2/2 và không rút gọn
P = \(\frac{2}{6}+\frac{2}{12}+\frac{2}{20}\)\(+\)\(......+\frac{2}{2550}\)
Ta có công thức:
\(\frac{a}{b.c}=\frac{a}{c-b}.\left[\frac{1}{b}-\frac{1}{c}\right]\)
=> P = \(\frac{2}{2.3}+\frac{2}{3.4}+\frac{2}{4.5}+......+\frac{2}{50.51}\)
P = \(2.\left[\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+......+\frac{1}{50}-\frac{1}{51}\right]\)
\(P=2.\left[\frac{1}{2}-\frac{1}{51}\right]\)
\(P=2.\frac{49}{102}\)\(=\frac{49}{51}\)
Đó là cách làm của tớ, có gì không hiểu rạng sáng ngày 18 tháng 3 hỏi nhé!
\(3M=3+1+\frac{1}{3}\)\(+...+\)\(\frac{1}{3^{48}}+\frac{1}{3^{49}}\)
\(-\)
\(M=1+\frac{1}{3}+\frac{1}{3^2}\)\(+....+\)\(\frac{1}{3^{49}}+\frac{1}{3^{50}}\)
\(\Rightarrow2M=3-\frac{1}{3^{50}}\)
\(\Rightarrow M=\frac{3-\frac{1}{3^{50}}}{2}\)
a)
\(\begin{array}{l}A = \left( {2 + \frac{1}{3} - \frac{2}{5}} \right) - \left( {7 - \frac{3}{5} - \frac{4}{3}} \right) - \left( {\frac{1}{5} + \frac{5}{3} - 4} \right).\\A = \left( {\frac{{30}}{{15}} + \frac{5}{{15}} - \frac{6}{{15}}} \right) - \left( {\frac{{105}}{{15}} - \frac{9}{{15}} - \frac{{20}}{{15}}} \right) - \left( {\frac{3}{{15}} + \frac{{25}}{{15}} - \frac{{60}}{{15}}} \right)\\A = \frac{{29}}{{15}} - \frac{{76}}{{15}} - \left( {\frac{{ - 32}}{{15}}} \right)\\A = \frac{{29}}{{15}} - \frac{{76}}{{15}} + \frac{{32}}{{15}}\\A = \frac{{ - 15}}{{15}}\\A = - 1\end{array}\)
b)
\(\begin{array}{l}A = \left( {2 + \frac{1}{3} - \frac{2}{5}} \right) - \left( {7 - \frac{3}{5} - \frac{4}{3}} \right) - \left( {\frac{1}{5} + \frac{5}{3} - 4} \right)\\A = 2 + \frac{1}{3} - \frac{2}{5} - 7 + \frac{3}{5} + \frac{4}{3} - \frac{1}{5} - \frac{5}{3} + 4\\A = \left( {2 - 7 + 4} \right) + \left( {\frac{1}{3} + \frac{4}{3} - \frac{5}{3}} \right) + \left( { - \frac{2}{5} + \frac{3}{5} - \frac{1}{5}} \right)\\A = - 1 + 0 + 0 = - 1\end{array}\)
\(1,25+1\frac{1}{2}+50\%+1\frac{3}{4}+0,45+2,55\)
\(=\frac{5}{4}+\frac{3}{2}+\frac{1}{2}+\frac{7}{4}+\frac{9}{20}+\frac{51}{20}\)
\(=8\)
xin t i ck
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= 5/4+ 3/2 + 1/2 + 7/4 + 9/20 + 51/20
= ( 5/4 + 7/4 ) + ( 3/2 + 1/2) + ( 9/20+ 51/20)
= 12/4 + 4/2 + 60/20
=3 + 2 + 3 = 8