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a) \(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}\)
\(=1-\frac{1}{4}\)
\(=\frac{3}{4}\)
b) \(\frac{4}{7}\times\frac{8}{9}+\frac{4}{7}\times\frac{1}{9}\)
\(=\frac{4}{7}\times\left(\frac{8}{9}+\frac{1}{9}\right)\)
\(=\frac{4}{7}\times1\)
\(=\frac{4}{7}\)
c) \(\frac{13}{6}\times\frac{3}{8}-\frac{3}{8}\times\frac{7}{6}\)
\(=\frac{3}{8}\times\left(\frac{13}{6}-\frac{7}{6}\right)\)
\(=\frac{3}{8}\times1\)
\(=\frac{3}{8}\)
d) \(\frac{1}{1x2}+\frac{1}{2x3}+\frac{1}{3x4}+...+\frac{1}{9x10}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\)
\(=1-\frac{1}{10}\)
\(=\frac{9}{10}\)
\(1+2+3+4+5\times1\times2\times3\times4\times5\)
=\(1+2+3+4+\left(5\times1\times2\times3\times4\times5\right)\)
\(=10+600\)
\(=610\)
ban sai rùi nha
\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}\)
= \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}\)
= \(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}\)
= \(1-\frac{1}{7}\)
= \(\frac{7}{7}-\frac{1}{7}\)
= \(\frac{6}{7}\)
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 !!!
Bn làm nhân chia trước cộng trừ sau nhé.
áp dụng công thức bn nhé
chúc bn hộc tốt
a) 72/45 x 35/36= 8/5 x 35/36 =280/180=14/9.
b)1/2:3/4+1/6:3/4 =(1/2+1/6) : 3/4 =8/12:3/4 = 24/36=2/3
c) 2/3x4/5+1/3=2/3+1/3x4/5+1/3=4/3x4/15=16/45.
Nếu sai thông cảm cho mình nhé. Bạn ko k cũng ko sao đâu.
1 + 2 + 3 + 4 + 5 x 1 x 2 x 3 x 4 x 5 + 764 x 31 = 24294
k mình nha
\(\frac{2}{5}+1=\frac{2+5}{5}=\frac{7}{5}\)
\(\frac{6}{7}.4=\frac{6.4}{7}=\frac{24}{7}\)
\(\frac{3}{7}:2=\frac{3}{7.2}=\frac{3}{14}\)
\(2:\frac{2}{4}=\frac{2.4}{2}=4\)
\(\frac{3}{4}.\frac{2}{9}+\frac{1}{3}=\frac{6}{36}+\frac{1}{3}=\frac{1}{6}+\frac{1}{3}=\frac{1}{2}\)
\(\frac{1}{4}:\frac{1}{3}-\frac{1}{2}=\frac{3}{4}-\frac{1}{2}=\frac{1}{4}\)
2/5 + 1 = 7/5
6/7 x 4 =24 /7
3/7 :2 =1/7
2:2/4 = 4
3/4 x 2/9 + 1/3 = 1/2
1/4 : 1/3 - 1/2 = 1/4
`3/4 xx 1/4`
`=(3xx1)/(4xx4)`
`= 3/16`
\(\dfrac{3}{4}\) \(\times\) \(\dfrac{1}{4}\) = \(\dfrac{3}{16}\)