B/2 = 7/2.19.31+5/2.19.43+3/2-23.43+11/2-23.57
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\(\left(\frac{7}{19.31}+\frac{5}{19.43}+\frac{3}{23.43}+\frac{11}{23.57}\right):\left(\frac{1}{31}-\frac{1}{57}\right)\)
\(=\frac{7}{19}.\frac{7}{31}+\frac{5}{19}.\frac{5}{43}+\frac{3}{23}.\frac{3}{43}+\frac{11}{23}.\frac{11}{57}:\frac{1}{31}-\frac{1}{57}\)
\(=\frac{7}{19}+\frac{5}{19}.\frac{7}{31}+\frac{1}{31}:\frac{5}{43}-\frac{3}{43}.\frac{3}{23}+\frac{11}{23}.\frac{11}{57}+\frac{1}{57}\)
\(=\frac{12}{19}.\frac{8}{31}:\frac{2}{43}.\frac{7}{16}.\frac{4}{19}\)
\(=\frac{1204}{1767}\)
B=7/(19.31)+5/(19.43)+3/(23.43)
+11/(23.57)
Ta nhân cả tử và mẫu của các phân số biểu thức B với 2
=>B=2(1/31-1/57)
=>A/B=5/2
\(C=\frac{7}{19.31}+\frac{5}{19.43}+\frac{3}{23.43}+\frac{11}{23.57}\)
\(\frac{C}{2}=\frac{7}{31.38}+\frac{5}{38.43}+\frac{3}{43.46}+\frac{11}{46.57}\)
\(\frac{C}{2}=\frac{1}{31}-\frac{1}{38}+\frac{1}{38}-\frac{1}{43}+\frac{1}{43}-\frac{1}{46}+\frac{1}{46}-\frac{1}{57}\)
\(C=2\left(\frac{1}{31}-\frac{1}{57}\right)=2\cdot\frac{26}{1767}=\frac{52}{1767}\)
\(\dfrac{B}{2}=\dfrac{7}{2\cdot19\cdot31}+\dfrac{5}{2\cdot19\cdot43}+\dfrac{3}{2\cdot23\cdot43}+\dfrac{11}{2\cdot23\cdot57}\)
=>\(\dfrac{B}{2}=\dfrac{7}{31\cdot38}+\dfrac{5}{38\cdot43}+\dfrac{3}{43\cdot46}+\dfrac{11}{46\cdot57}\)
=>\(\dfrac{B}{2}=\dfrac{1}{31}-\dfrac{1}{38}+\dfrac{1}{38}-\dfrac{1}{43}+\dfrac{1}{43}-\dfrac{1}{46}+\dfrac{1}{46}-\dfrac{1}{57}\)
=>\(\dfrac{B}{2}=\dfrac{1}{31}-\dfrac{1}{57}=\dfrac{26}{1767}\)
=>\(B=\dfrac{52}{1767}\)