tính phân số
2/7 + 3 4 + 2/3 5 + 3/15
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\(\dfrac{8}{20};\dfrac{35}{20}\)
\(\dfrac{3}{8};\dfrac{14}{8}\)
\(=\dfrac{5.3.1}{7.4.2}=\dfrac{15}{14.4}=\dfrac{15}{56}\)
\(=\dfrac{3.5.14}{4.7.15}=\dfrac{3.5.7.2}{2.2.7.3.5}=\dfrac{1}{2}\)
a; \(=\dfrac{5\cdot3\cdot1}{7\cdot4\cdot2}=\dfrac{15}{56}\)
b: \(=\dfrac{3\cdot5\cdot14}{4\cdot7\cdot15}=\dfrac{210}{420}=\dfrac{1}{2}\)
a: \(x-\frac25+\frac{7}{12}=\frac12\cdot\frac34\cdot\frac{-9}{16}\)
=>\(x-\frac{24}{60}+\frac{35}{60}=\frac38\cdot\frac{-9}{16}=\frac{-27}{128}\)
=>\(x=-\frac{27}{128}-\frac{11}{60}=\frac{-27\cdot15-11\cdot32}{1920}=-\frac{757}{1920}\)
b: \(\frac49x-\frac12=-\frac59\)
=>\(\frac49x=-\frac59+\frac12=\frac{-10+9}{18}=\frac{-1}{18}\)
=>\(x=-\frac{1}{18}:\frac49=-\frac{1}{18}\cdot\frac94=\frac{-1}{2\cdot4}=-\frac18\)
c: \(-\frac23x+\frac58=\frac{7}{12}\)
=>\(-\frac23x=\frac{7}{12}-\frac58=\frac{14}{24}-\frac{15}{24}=-\frac{1}{24}\)
=>\(x=\frac{1}{24}:\frac23=\frac{1}{24}\cdot\frac32=\frac{1}{8\cdot2}=\frac{1}{16}\)
d: \(\frac25x:\frac73\cdot\frac18=\frac{29}{15}\)
=>\(x\cdot\frac25\cdot\frac37\cdot\frac18=\frac{29}{15}\)
=>\(x\cdot\frac{3}{4\cdot5\cdot7}=\frac{29}{15}\)
=>\(x=\frac{29}{15}:\frac{3}{140}=\frac{29}{15}\cdot\frac{140}{3}=\frac{29\cdot28}{3\cdot3}=\frac{812}{9}\)
\(67-\left[8+7.3^2-24:6+\left(9-7\right)^3\right]:15\\ =67-\left[8+7.9-4+2^3\right]:15\\ =67-\left[8+63-4+8\right]:15\\ =67-75:15\\ =67-5=62\)
\(a,\dfrac{1}{2}-\dfrac{1}{3}-\left(-\dfrac{5}{4}\right)=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{5}{4}=\dfrac{1\times6-1\times4+5\times3}{12}=\dfrac{6-4+15}{12}=\dfrac{17}{12}\\ b,\dfrac{5}{4}-\dfrac{1}{2}-\dfrac{7}{8}=\dfrac{5\times2-1\times4-7}{8}=\dfrac{10-4-7}{8}=-\dfrac{1}{8}\\ c,\dfrac{1}{5}-\dfrac{1}{2}+\dfrac{9}{10}=\dfrac{1\times2-1\times5+9}{10}=\dfrac{2-5+9}{10}=\dfrac{6}{10}=\dfrac{3}{5}\\ d,\dfrac{5}{4}-\dfrac{1}{3}+\dfrac{7}{6}=\dfrac{5\times3-1\times4+7\times2}{12}=\dfrac{15-4+14}{12}=\dfrac{25}{12}\)
a) \(\frac{2^3.3^4}{2^2.3^2.5}=\frac{2.3^2}{1.1.5}=\frac{18}{5}\)
b) \(\frac{2^4.5^2.11^2.7}{2^3.5^3.7^2.11}=\frac{2.1.11.1}{1.5.7.1}=\frac{22}{35}\)
2/7 +3=23/7
4+2/3=14/3
5+3/15=26/5
2/7 + 3 = 2/7 + 3/1 = 23/7
4 + 2/3 = 4/1 + 2/3 = 14/3
5 + 3/15 = 5/1+ 3/15 = 26/5