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\(\frac{24}{36}:\frac{8}{9}=\frac{24}{36}\cdot\frac{9}{8}=\frac{24\cdot9}{36\cdot8}=\frac{216}{288}=\frac{3}{4}\)
\(\frac{32}{45}-\frac{7}{30}=\frac{64}{90}-\frac{21}{90}=\frac{43}{90}\)
\(\frac{3}{10}+\frac{4}{7}+\frac{6}{14}+\frac{4}{20}=\frac{42}{140}+\frac{80}{140}+\frac{60}{140}+\frac{28}{140}=\frac{210}{140}=\frac{3}{2}\)
\(\frac{17}{25}\cdot\frac{11}{28}+\frac{34}{50}\cdot\frac{17}{28}=\frac{187}{700}+\frac{289}{700}=\frac{476}{700}=\frac{17}{25}\)
\(\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+...+\frac{1}{11\cdot12}=\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{11}-\frac{1}{12}=\frac{1}{3}-\frac{1}{12}=\frac{1}{4}\)
a: =2/5x11/7=22/35
b: =60/85+68/85=128/75
c: =78/143-44/143=34/143
d: =5/6+8/21=35/42+16/42=51/42=17/14
Cách 1:
\(\dfrac{12}{5}\times\dfrac{7}{9}-\dfrac{6}{11}\times\dfrac{7}{9}\)
\(=\dfrac{28}{15}-\dfrac{14}{33}\)
\(=\dfrac{238}{165}\)
Cách 2:
\(\dfrac{12}{5}\times\dfrac{7}{9}-\dfrac{6}{11}\times\dfrac{7}{9}\)
\(=\left(\dfrac{12}{5}-\dfrac{6}{11}\right)\times\dfrac{7}{9}\)
\(=\dfrac{102}{55}\times\dfrac{7}{9}\)
\(=\dfrac{238}{165}\)
c1
`12/5xx7/9-6/11xx7/9`
`=28/15-14/33`
`=238/165`
c2
`12/5xx7/9-6/11xx7/9`
`=(12/5-6/11)xx7/9`
`= 102/55xx7/9`
`= 238/165`
`4/7 + 3/4 + 2/7 = (4/7 + 2/7 ) +3/4 = 6/7 + 3/4 = 24/28 + 21/28 =45/28`
`18/7 - 2= 18/7 - 2/1 = 18/7 - 4/7 `
`10/12 - 12/36=30/36 - 12/36=18/36=1/2`
`5/3 - 3/5 + 6/11=(25/15-9/15) + 6/11 =16/15 + 6/11 = (506+90)/165=596/165`
`3/5 xx 3/7 : 5 = 3/5 xx3/7 xx 1/5 = 9/35 xx 1/5 = 9/175`
a: 4/11+6/11=10/11
b: 28/8x12/6=7/2x2=7
c: =14/8-5/8=9/8
d: =3/5x7/3=7/5
\(b,x-\dfrac{2}{5}=\dfrac{4}{13}\\ \Rightarrow x=\dfrac{4}{13}+\dfrac{2}{5}\\ \Rightarrow x=\dfrac{46}{65}\\ c,\dfrac{12}{7}-x=\dfrac{5}{8}\\ \Rightarrow x=\dfrac{12}{7}-\dfrac{5}{8}\\ \Rightarrow x=\dfrac{61}{56}\\ d,\dfrac{6}{11}+x=\dfrac{3}{2}\\ \Rightarrow x=\dfrac{3}{2}-\dfrac{6}{11}\\ \Rightarrow x=\dfrac{21}{22}\)
b, \(x=\dfrac{4}{13}+\dfrac{2}{5}=\dfrac{20+26}{5.13}=\dfrac{46}{65}\)
c, \(x=\dfrac{12}{7}-\dfrac{5}{8}=\dfrac{96-35}{56}=\dfrac{61}{56}\)
d, \(x=\dfrac{3}{2}-\dfrac{6}{11}=\dfrac{33-12}{22}=\dfrac{21}{22}\)
a,
5xX+6/7=11/12
5 x X=11/12-6/7
5 x X=5/84
X=5/84:5
X=1/84
B,
X :6/5-11/3=3/5
X:6/5= 3/5+11/3
X:6/5=64/15
X=64/15x6/5
X=126/25
NHỚ ****!!!!!!!!!!
a) 5*x+6/7=11/12
5*x=11/12-6/7=77/84-72/84
5x=5/84
x=5/84:5
x=1/84
b) x:6/5-11/3=3/5
x:6/5=3/5+11/3=9/15+55/15
x:6/5=64/15
x=64/15*6/5
x=128/25
Chúc bạn học tốt!^_^
\(=\dfrac{11}{12}\left(\dfrac{2}{7}+\dfrac{4}{7}+\dfrac{1}{7}\right)=\dfrac{11}{12}\cdot1=\dfrac{11}{12}\)
\(\dfrac{11}{12}x\dfrac{6}{9}-\dfrac{3}{8}=\dfrac{66}{108}-\dfrac{3}{8}=\dfrac{17}{72}\)
\(\dfrac{5}{7}:\dfrac{9}{14}-\dfrac{17}{18}=\dfrac{70}{63}-\dfrac{17}{18}=\dfrac{1}{6}\)
\(\dfrac{11}{12}\) x \(\dfrac{6}{9}-\dfrac{3}{8}=\dfrac{11}{18}-\dfrac{3}{8}=\dfrac{88}{144}-\dfrac{54}{144}=\dfrac{34}{144}=\dfrac{17}{72}\)
\(\dfrac{5}{7}:\dfrac{9}{14}-\dfrac{17}{18}\)\(=\dfrac{5}{7}\) x \(\dfrac{14}{9}-\dfrac{17}{18}=\dfrac{10}{9}-\dfrac{17}{18}=\dfrac{20}{18}-\dfrac{17}{18}=\dfrac{3}{18}=\dfrac{1}{6}\)
a, \(\dfrac{5\times11\times15\times18}{6\times15\times22\times10}\)
= \(\dfrac{5\times11\times15\times6\times3}{6\times15\times11\times2\times2\times5}\)
= \(\dfrac{5\times11\times15\times6}{5\times11\times15\times6}\) \(\times\) \(\dfrac{3}{2\times2}\)
= 1 \(\times\) \(\dfrac{3}{4}\)
= \(\dfrac{3}{4}\)
b, \(\dfrac{7}{12}\) \(\times\) \(\dfrac{3}{5}\) + \(\dfrac{3}{5}\) \(\times\) \(\dfrac{5}{12}\)
= \(\dfrac{3}{5}\) \(\times\) ( \(\dfrac{7}{12}+\dfrac{5}{12}\))
= \(\dfrac{3}{5}\) \(\times\) \(\dfrac{12}{12}\)
= \(\dfrac{3}{5}\) \(\times\) 1
= \(\dfrac{3}{5}\)
5x X + 6/7 = 11/12
5x X = 11/12 - 6/7
5xX = 5/84
X = 5/84 : 5
x = 1/84
5.x+6/7=11/12
5x=11/12-6/7
5x=5/84
x=5/84:5
x=1/84
vậy x=1/84