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a,\(\frac{x}{3}-\frac{5}{4}=\frac{7}{12}\)
\(\Rightarrow\frac{x}{3}=\frac{7}{12}+\frac{15}{12}\)
\(\Rightarrow\frac{x}{3}=\frac{11}{6}\)
\(\Rightarrow\frac{2x}{6}=\frac{11}{6}\Rightarrow2x=11\Rightarrow x=\frac{11}{2}\)
Vậy \(x=\frac{11}{2}\)
b, \(\frac{3}{7}\cdot\frac{5}{4}-\frac{3}{7}\cdot\frac{3}{4}+\frac{3}{7}\)
\(=\frac{3}{7}\cdot\left(\frac{5}{4}-\frac{3}{4}+1\right)\)
\(=\frac{3}{7}\cdot\left(\frac{1}{2}+1\right)\)
\(=\frac{3}{7}\cdot\frac{3}{2}=\frac{9}{14}\)
a) = 29/15
b) = 7/15
c) = 1
d) = 3
e) = 67/17
f) = 2
mk nhanh nhất tk cho mk nha
a/\(\frac{3}{5}+\frac{4}{3}=\frac{9}{15}+\frac{20}{15}=\frac{29}{15}\)
b/\(\frac{2}{3}-\frac{1}{5}=\frac{10}{15}-\frac{3}{15}=\frac{7}{15}\)
c/\(\frac{1}{2}+\frac{1}{3}+\frac{1}{6}=\frac{3}{6}+\frac{2}{6}+\frac{1}{6}=\frac{7}{6}\)
d,\(\frac{3}{5}+\frac{4}{7}+\frac{7}{5}+\frac{3}{7}=\left(\frac{3}{5}+\frac{7}{5}\right)+\left(\frac{4}{7}+\frac{3}{7}\right)=2+1=3\)
a) \(\frac{3}{3.5}+\frac{3}{5.7}+\frac{3}{7.9}+...+\frac{3}{97.99}\)
\(=\frac{3}{2}.\left(\frac{1}{3}-\frac{1}{5}\right)+\frac{3}{2}.\left(\frac{1}{5}-\frac{1}{7}\right)+\frac{3}{2}.\left(\frac{1}{7}-\frac{1}{9}\right)+...+\frac{3}{2}.\left(\frac{1}{97}-\frac{1}{99}\right)\)
\(=\frac{3}{2}.\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{97}-\frac{1}{99}\right)\)
\(=\frac{3}{2}.\left(\frac{1}{3}-\frac{1}{99}\right)\)
\(=\frac{3}{2}.\frac{32}{99}\)
\(=\frac{16}{33}\)
b)
\(\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+...+\frac{3}{100.103}\)
\(=1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...+\frac{1}{100}-\frac{1}{103}\)
\(=1-\frac{1}{103}\)
\(=\frac{102}{103}\)
Ta có: \(\frac{1}{7}+\frac{2}{7}+\frac{3}{7}+...+\frac{35}{7}+\frac{36}{7}=\frac{1+2+3+....+36}{7}\)
\(=\frac{\left(1+36\right)\times36\div2}{7}=\frac{666}{7}=95\frac{1}{7}\)
Vậy giá trị của biểu thức là \(95\frac{1}{7}\)
1/7 + 2/7 + 3/7 + ............... + 35/7 + 36/7 = 666/7
bài 1.tính bằng cách hợp lí nhất :
a) 1/7 + 2/7 + 3/7 + ..... 3 5/7 + 3 6/7
b) 3/5x 3 5/9 + 6/5 x 11/9
7 x 3 = 21
21 nha