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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: \(\dfrac{25}{35};\dfrac{100}{140};\dfrac{16}{28};\dfrac{85}{119}\)
\(=\dfrac{10}{17}-\dfrac{5}{3}+7-\dfrac{8}{13}+\dfrac{11}{25}\)
\(=\dfrac{30}{51}-\dfrac{85}{51}+\dfrac{175}{25}+\dfrac{11}{25}-\dfrac{8}{13}\)
\(=\dfrac{-55}{51}+\dfrac{186}{25}-\dfrac{8}{13}\)
\(=\dfrac{-55\cdot325+186\cdot663-8\cdot1275}{16575}=\dfrac{95243}{16575}\)
a ) \(-\frac{3}{7}.\frac{3}{11}+-\frac{3}{7}.\frac{8}{11}+1\frac{3}{7}\)
\(=-\frac{3}{7}.\left(\frac{3}{11}+\frac{8}{11}\right)+\frac{10}{7}\)
\(=-\frac{3}{7}.\frac{11}{11}+\frac{10}{7}\)
\(=-\frac{3}{7}.1+\frac{10}{7}\)
\(=\frac{10}{7}\)
b ) \(75\%.10,5=\frac{3}{4}.10,5=7,875\)
c ) \(5-3.\left(\left|-4\right|-30:15\right)\)
\(=5-3.\left(4-2\right)\)
\(=5-3.2\)
\(=5-6\)
\(=-1\)
d ) \(-\frac{5}{7}.\frac{2}{11}+-\frac{5}{7}.\frac{9}{11}+1\frac{5}{7}\)
\(=-\frac{5}{7}.\left(\frac{2}{11}+\frac{9}{11}\right)+\frac{12}{7}\)
\(=-\frac{5}{7}.1+\frac{12}{7}\)
\(=\frac{7}{7}\)
\(=1\)
Chúc bạn học tốt !!!
\(\frac{25}{27}:\frac{4}{7}+\frac{2}{27}:\frac{4}{7}\)
\(=\frac{4}{7}\left(\frac{25}{27}+\frac{2}{27}\right)\)
\(=\frac{4}{7}.1\)
\(=\frac{4}{7}\)
| x - 1 | = \(\frac{4}{5}\)
\(\Rightarrow\orbr{\begin{cases}\left|x-1\right|=\frac{4}{5}\\\left|x-1\right|=\frac{-4}{5}\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{9}{5}\\x=\frac{1}{5}\end{cases}}}\)
\(\frac{25}{27}:\frac{4}{7}+\frac{2}{27}:\frac{4}{7}\)
= \(\left(\frac{25}{27}+\frac{2}{27}\right):\frac{4}{7}\)
=\(1:\frac{4}{7}=\frac{7}{4}\)\(=1\frac{3}{4}\)
\(\dfrac{5}{27}-\dfrac{2}{-27}=\dfrac{5}{27}+\dfrac{2}{27}=\dfrac{7}{27}\)
\(\dfrac{7}{-25}+\dfrac{-8}{25}=\dfrac{\left(-7\right)+\left(-8\right)}{25}=\dfrac{-15}{25}=\dfrac{-3}{5}\)
\(\dfrac{23}{-11}-\dfrac{-3}{-11}=\dfrac{\left(-23\right)-3}{11}=\dfrac{-26}{11}\)
E