(-3/7+1/4):15/28
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\(1,\frac{2}{3}+\frac{4}{9}+\frac{1}{5}+\frac{2}{15}+\frac{3}{2}-\frac{17}{18}\)
\(< =>\frac{4}{9}+\frac{3}{2}+\left(\frac{2}{3}+\frac{1}{5}+\frac{2}{15}\right)-\frac{17}{18}\)
\(< =>\frac{8}{18}+\frac{27}{18}+\left(\frac{10}{15}+\frac{3}{15}+\frac{2}{15}\right)-\frac{17}{18}\)
\(< =>\frac{35}{18}+1-\frac{17}{18}\)
\(< =>\frac{53}{18}-\frac{17}{18}\)
\(< =>2\)
\(2,\frac{13}{28}\cdot\frac{5}{12}-\frac{5}{28}\cdot\frac{1}{12}\)
\(< =>\left(\frac{13}{28}-\frac{5}{28}\right)\cdot\left(\frac{5}{12}-\frac{1}{12}\right)\)
\(< =>\frac{2}{7}\cdot\frac{1}{3}\)
\(< =>\frac{2}{21}\)
\(3,\frac{19}{4}\cdot\frac{15}{23}-\frac{15}{4}\cdot\frac{7}{23}+\frac{15}{4}\cdot\frac{11}{23}\)
\(< =>\frac{285}{92}-\frac{105}{92}+\frac{165}{92}\)
\(< =>\frac{15}{4}\)
=\(\left(-\dfrac{3}{7}+\dfrac{1}{4}\right)\cdot\dfrac{28}{15}\)
=\(-\dfrac{3}{7}\cdot\dfrac{28}{15}+\dfrac{1}{4}\cdot\dfrac{28}{15}\)
=\(-\dfrac{4}{5}+\dfrac{7}{15}\)
=\(-\dfrac{1}{3}\)
nếu e ko bt thì dấu .là nhân nhé !
\(\frac{3}{4}.\frac{5}{7}=\frac{3.5}{4.7}=\frac{15}{28}\)
\(\frac{15}{28}:\frac{5}{7}=\frac{15.7}{28.5}=\frac{105}{140}=\frac{21}{28}\)
\(\frac{1}{7}.\frac{1}{5}=\frac{1}{7.5}=\frac{1}{35}\)
a, \(\dfrac{3}{15}-x=-\dfrac{1}{7}\Leftrightarrow\dfrac{21-105x}{105}=\dfrac{-15}{105}\Rightarrow-105x=-36\)
\(\Leftrightarrow x=\dfrac{36}{105}=\dfrac{12}{35}\)
b, \(\left(4,5+\dfrac{3}{4}x\right):\dfrac{8}{3}=\dfrac{9}{3}\Leftrightarrow\dfrac{45}{10}+\dfrac{3x}{4}=\dfrac{72}{9}=8\)
\(\Leftrightarrow\dfrac{36}{4}+\dfrac{3x}{4}=\dfrac{32}{4}\Rightarrow3x=-4\Leftrightarrow x=-\dfrac{4}{3}\)
c, mình ko hiểu đề lắm
(-3/7 + 1/4) : 15/28 = -3/7 + 1/4 : 15/28 = -3/7 + (1/4 : 15/28) =-3/7 + 7/15 =4/105 HỌC TỐT NHÉ ^_^
\(\left(-\frac{3}{7}+\frac{1}{4}\right):\frac{15}{28}\)
=\(\left(\frac{-12}{28}+\frac{7}{28}\right):\frac{15}{28}\)
=\(\frac{-5}{28}:\frac{15}{28}\)
=\(\frac{-5}{28}.\frac{28}{15}\)
=\(-\frac{1}{3}\)