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\(2\)X ( \(x\)\(+\)\(\frac{1}{4}\)) \(-\)\(\frac{1}{3}\)\(=10\)
\(2\)X ( \(\frac{1}{2}\)\(+\)\(\frac{1}{4}\)) \(-\)\(\frac{1}{3}\)\(=10\)
\(2\)X \(\frac{3}{4}\)\(-\)\(\frac{1}{3}\)\(=10\)
\(\frac{3}{2}\)\(-\)\(\frac{1}{3}\)\(=10\)
\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}\)
= \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}\)
= \(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}\)
= \(1-\frac{1}{7}\)
= \(\frac{7}{7}-\frac{1}{7}\)
= \(\frac{6}{7}\)
2) \(\frac{7}{4}-x.\frac{4}{3}=\frac{5}{19}\)
\(x.\frac{4}{3}=\frac{7}{4}-\frac{5}{19}\)
\(x.\frac{4}{3}=\frac{133}{76}-\frac{20}{76}\)
\(x.\frac{4}{3}=\frac{113}{76}\)
\(x=\frac{113}{76}:\frac{4}{3}\)
\(x=\frac{399}{304}\)
VẬY \(x=\frac{399}{304}\)
b) \(\left(x+\frac{3}{4}\right).\frac{5}{7}=\frac{10}{9}\)
\(\left(x+\frac{3}{4}\right)=\frac{10}{9}:\frac{5}{7}\)
\(x+\frac{3}{4}=\frac{14}{9}\)
\(x=\frac{14}{9}-\frac{3}{4}\)
\(x=\frac{29}{36}\)
Vậy \(x=\frac{29}{36}\)
c) \(x.\frac{1}{2}+\frac{3}{2}.x=\frac{4}{5}\)
\(x.\left(\frac{1}{2}+\frac{3}{2}\right)=\frac{4}{5}\)
\(x.2=\frac{4}{5}\)
\(x=\frac{4}{5}:2\)
\(x=\frac{2}{5}\)
Vậy \(x=\frac{2}{5}\)
Chúc bạn học tốt !!!
1, = 1/8 : 1/6 = 3/4
2, = 5/4 + 1/4 = 3/2
3, = 5/12 + 1/12= 1/2
4, còn số phần là:
1 - ( 3/7 + 2/5) = 6/35 ( phần bể chưa có nước)
Tham khảo:
b)
c)
7 x 4 + 3 x 4 = (7 + 3) x 4
= 10 x 4
= 40
12 x 2 + 4 x 2 + 4 x 2 = (12 + 4 + 4) x 2
= 20 x 2
= 40
=2x(X+1/4)=10+ 1/3
=2x(X+1/4)=31/3
=31/3:2x(X+1/4)
=31/6x (X +1/4)
=31/6-1/4
=59/12
\(2.\left(X+\frac{1}{4}\right)-\frac{1}{3}=10\)
\(2.\left(X+\frac{1}{4}\right)=10+\frac{1}{3}\)
\(2.\left(X+\frac{1}{4}\right)=\frac{31}{3}\)
\(X+\frac{1}{4}=\frac{31}{3}:2\)
\(X+\frac{1}{4}=\frac{31}{3}.\frac{1}{2}\)
\(X+\frac{1}{4}=\frac{31}{6}\)
\(X=\frac{31}{6}-\frac{1}{4}\)
\(X=\frac{62}{12}-\frac{3}{12}\)
\(X=\frac{59}{12}\)