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\(A = {1\over2}-{3\over4}+{5\over6}-{7\over12}={6\over12}-{9\over12}+{10\over12}-{7\over12}\)\(={0\over12}=0\)
a) \(\frac{5}{9}:\left(\frac{5}{12}-\frac{1}{11}\right)-\frac{5}{9}:\left(\frac{-1}{5}-\frac{2}{3}\right)\)
= \(\frac{5}{9}:\left(\frac{55}{132}-\frac{12}{132}\right)-\frac{5}{9}:\left(\frac{-3}{15}-\frac{10}{15}\right)\)
= \(\frac{5}{9}:\frac{43}{132}-\frac{5}{9}:\frac{-13}{15}\)
= \(\frac{5}{9}\times\frac{132}{43}-\frac{5}{9}\times\frac{-15}{13}\)
=\(\frac{5}{9}\times\left(\frac{132}{43}-\frac{-15}{13}\right)\)
=\(\frac{5}{9}\times\frac{2361}{559}\)( Đến đây bạn tự quy đồng mẫu nha)
=\(\frac{3935}{1677}\)
\(\left[\frac{139}{84}-\frac{577}{924}-\frac{98}{205}\right].\frac{2197}{27}\)
\(\left[\frac{34}{33}-\frac{98}{205}\right]\frac{2197}{27}\)
\(\frac{3736}{6765}.\frac{2197}{27}=44,93713285\)
Dùng tích chất kết hợp cho nó lẹ
a/\(\left(\frac{-2}{3}+\frac{3}{7}\right):\frac{4}{5}+\left(\frac{-1}{3}+\frac{4}{7}\right):\frac{4}{5}=\left(\frac{-2}{3}+\frac{3}{7}+\frac{-1}{3}+\frac{4}{7}\right):\frac{4}{5}=\left(-1+1\right):\frac{4}{5}=0\)
b/\(\frac{5}{9}:\left(\frac{1}{11}-\frac{5}{22}\right)+\frac{5}{9}:\left(\frac{1}{15}-\frac{2}{3}\right)=\frac{5}{9}:\left(\frac{1}{11}-\frac{5}{22}+\frac{1}{15}-\frac{2}{3}\right)=\frac{5}{9}:\left(\frac{-3}{22}+\frac{-3}{5}\right)=\frac{-5}{3\left(\frac{1}{22}+\frac{1}{5}\right)}=\frac{-550}{81}\)
Mà hình như câu b mình làm sai
b/\(\frac{5}{9}:\left(\frac{1}{11}-\frac{5}{22}\right)+\frac{5}{9}:\left(\frac{1}{15}-\frac{2}{3}\right)=\frac{5}{9}:\frac{-3}{22}+\frac{5}{9}:\frac{-3}{5}=\frac{5.22}{9.-3}+\frac{5.5}{9.-3}=\frac{-\left(5.22+5.5\right)}{27}=-5\)
\(\frac{-1}{3}.\frac{5}{7}-\frac{1}{3}.\frac{-7}{5}\)
\(=\frac{-1}{3}.\frac{5}{7}+\frac{-1}{3}.\frac{-7}{5}\)
\(=\frac{-1}{3}.\left(\frac{5}{7}+\frac{-5}{7}\right)\)
\(=\frac{-1}{3}.0=0\)
\(\frac{5}{12}.\left(\frac{-3}{4}\right)-\frac{7}{12}.\frac{3}{4}\)
\(=\left(\frac{-5}{12}-\frac{7}{12}\right).\frac{3}{4}\)
\(=\left(-1\right).\frac{3}{4}=\frac{-3}{4}\)
~ Hok tốt ~
\(\frac{5}{12}.\left(-\frac{3}{4}\right)-\frac{7}{12}.\frac{3}{4}\)
\(=\frac{3}{4}.\left(-\frac{5}{12}-\frac{7}{12}\right)\)
\(=\frac{3}{4}.\left(-1\right)\)
\(=-\frac{3}{4}\)