19 phần 100 + 3 phần 20 = ???
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a) \(\dfrac{4}{5}\); \(\dfrac{3}{4}\); \(\dfrac{11}{13}\)
b) \(\dfrac{25}{35}\); \(\dfrac{100}{140}\); \(\dfrac{85}{119}\)
a) Những phân số tối giản là: \(\dfrac{4}{5};\dfrac{3}{4};\dfrac{11}{13}\)
b) Những phân số bằng \(\dfrac{5}{7}\) là: \(\dfrac{25}{35};\dfrac{100}{140};\dfrac{16}{28};\dfrac{85}{119}\)
\(\frac{15}{34}+\frac{7}{21}+\frac{19}{34}-\frac{20}{15}+\frac{3}{7}\)
\(\frac{15}{34}+\frac{1}{3}+\frac{19}{34}+\left(-\frac{4}{3}\right)+\frac{3}{7}\)
\(\left(\frac{15}{34}+\frac{19}{34}\right)+\left(\frac{1}{3}-\frac{4}{3}\right)+\frac{3}{7}\)
\(1+\left(-1\right)+\frac{3}{7}\)
\(=0+\frac{3}{7}=\frac{3}{7}\)
\(\frac{15}{34}+\frac{7}{21}+\frac{19}{34}-\frac{20}{15}+\frac{3}{7}\)
\(=\)\(\frac{15}{34}+\frac{1}{3}+\frac{19}{34}+\left(-\frac{4}{3}\right)+\frac{3}{7}\)
\(=\)\(\left(\frac{15}{34}+\frac{19}{34}\right)+\left(\frac{1}{3}-\frac{4}{3}\right)+\frac{3}{7}\)
\(=\)\(1+\left(-1\right)+\frac{3}{7}\)
\(=\)\(0+\frac{3}{7}\)
\(=\)\(\frac{3}{7}\)
\(\frac{19}{20}-x+\frac{3}{4}=\frac{8}{5}\)
\(\frac{19}{20}-x=\frac{8}{5}-\frac{3}{4}\)
\(\frac{19}{20}-x=\frac{17}{20}\)
\(x=\frac{19}{20}-\frac{17}{20}\)
\(x=\frac{1}{10}\)
\(\frac{19}{20}-x+\frac{3}{4}=\frac{8}{5}\)
\(1,7-x=1,6\)
\(x=1,7-1,6\)
\(x=0,1\)
Bạn nên viết đề bằng công thức toán (biểu tượng $\sum$ góc trái khung soạn thảo) để được hỗ trợ tốt hơn.
\(A=\dfrac{1}{1.2.3}+\dfrac{1}{2.3.4}+\dfrac{1}{3.4.5}+...+\dfrac{1}{18.19.20}\)
\(2A=\dfrac{3-1}{1.2.3}+\dfrac{4-2}{2.3.4}+\dfrac{5-3}{3.4.5}+...+\dfrac{20-18}{18.19.20}=\)
\(=\dfrac{1}{1.2}-\dfrac{1}{2.3}+\dfrac{1}{2.3}-\dfrac{1}{3.4}+\dfrac{1}{3.4}-\dfrac{1}{4.5}+...+\dfrac{1}{18.19}-\dfrac{1}{19.20}=\dfrac{1}{2}-\dfrac{1}{19.20}\)
\(\Rightarrow A=\left(\dfrac{1}{2}-\dfrac{1}{19.20}\right):2\)
\(\frac{125}{100}:\frac{15}{20}\times\left(\frac{1}{4}-\frac{5}{6}\right):\frac{14}{3}\)
=\(\frac{125}{100}\times\frac{20}{5}\times\left(\frac{1}{4}-\frac{5}{6}\right):\frac{3}{14}\)
=\(\frac{5}{4}\times\frac{4}{3}\times\left(\frac{6}{24}-\frac{20}{24}\right)\times\frac{3}{14}\)
=\(\frac{5}{4}\times\frac{4}{3}\times\frac{-7}{12}\times\frac{3}{14}\)
=\(\frac{5\times4\times\left(-7\right)\times3}{4\times3\times12\times14}\)
=\(\frac{-420}{2016}\)
=\(\frac{-5}{24}\)
Chúc bạn học tốt
\(\dfrac{1}{2}+\dfrac{5}{6}+\dfrac{11}{12}+\dfrac{19}{20}+\dfrac{29}{30}+\dfrac{41}{42}+\dfrac{55}{56}+\dfrac{71}{72}+\dfrac{89}{90}=1-\dfrac{1}{2}+1-\dfrac{1}{6}+1-\dfrac{1}{12}+....+1-\dfrac{1}{90}=1+1+...+1-\left(\dfrac{1}{2}+\dfrac{1}{6}+...+\dfrac{1}{90}\right)=9-\left(\dfrac{1}{1x2}+\dfrac{1}{2x3}+...+\dfrac{1}{9x10}\right)=9-\left(\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+....+\dfrac{1}{9}-\dfrac{1}{10}\right)=9-\left(1-\dfrac{1}{10}\right)=9-\dfrac{9}{10}=\dfrac{81}{10}\)
19/100+3/20=19/100+15/100=34/100