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1 ] 2/3 : 1/2 + 1/3 : 1/2
= 2/3 x 2/1 + 1/3 x 2/1
= 2/1 x ( 2/3 + 1/3 )
= 2 x 1
= 2
2 ] 3/10 : 7/6 : 3/7
= 3/10 x 6/7 x 7/3
= 3 x 6 x 7 / 10 x 7 x 3
= [ tách 6 và 10 ] 3 x 3 x 2 x 7 / 2 x 5 x 7 x 3
= [ Gạch chéo các số trùng nhau trong tử số và mẫu số , đó là rút gọn ]
= 3 / 5
3 ] 4/5 x 7/9 : 7/5
= 4/5 x 7/9 x 5/7
[ làm như phép tính 2 ]
4 ] ( 1 - 1/2 ) x ( 1 - 1/3 ) x ( 1 - 1/4 ) x ( 1 - 1/5 )
= 1/2 x 2/3 x 3/4 x 4/5
= 1 x 2 x 3 x 4 / 2 x 3 x 4 x 5
= [ gạch các số trùng nhau trong tử số và mẫu số ]
= 1/5
2/3:1/2+1/3:1/2
bằng3/2 nhân 1/2 + 3/1 nhân 1/2
bằng3/4+3/2 bằng 3/4 + 6/4 bằng 9/4
A) 5/4 x X = 3/8 + 5/12
5/4 x X = 19/24
X = 19/24 : 5/4
X = 19/30
vậy x =...
B, 3 x 7/10 + 7/10 x 5 + 2 x 7/10
= 7/10 x ( 3 + 5 + 2)
= 7/10 x 10
= 7
\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}\)
= \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}\)
= \(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}\)
= \(1-\frac{1}{7}\)
= \(\frac{7}{7}-\frac{1}{7}\)
= \(\frac{6}{7}\)
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 !!!
( 1/10 + 2/9 + 3/8 + 4/7 + 5/6 + 1/6 + 3/7 + 5/8 + 7/9 + 9/10 ) * 48
= [ ( 1/10 + 9/10 ) + ( 2/9 + 7/9 ) + ( 3/8 + 5/8 ) + ( 4/7 + 3/7 ) + ( 5/6 + 1/6 ) ] * 48
=( 1 + 1 + 1 + 1 + ) *48
=5 * 48
= 240
\(\dfrac{11}{12}\times\dfrac{12}{13}\times\dfrac{13}{14}:\dfrac{22}{28}\)
\(=\dfrac{11}{12}\times\dfrac{12}{13}\times\dfrac{13}{14}\times\dfrac{14}{11}\)
\(=\dfrac{11\times12\times13\times14}{12\times13\times14\times11}\)
\(=1\)
=================
\(3\times\dfrac{7}{10}+\dfrac{7}{10}\times5+2\times\dfrac{7}{10}\)
\(=\dfrac{7}{10}\times\left(3+5+2\right)\)
\(=\dfrac{7}{10}\times10=7\)
\(\dfrac{11}{12}\times\dfrac{12}{13}\times\dfrac{13}{14}:\dfrac{22}{28}\)
\(=\dfrac{11}{12}\times\dfrac{12}{13}\times\dfrac{13}{14}:\dfrac{11}{14}\)
\(=\dfrac{11}{12}\times\dfrac{12}{13}\times\dfrac{13}{14}\times\dfrac{14}{11}\)
\(=\dfrac{11\times12\times13\times14}{12\times13\times11\times14}\)
\(=1\)
\(3\times\dfrac{7}{10}+\dfrac{7}{10}\times5+2\times\dfrac{7}{10}\)
\(=\dfrac{7}{10}\times\left(3+5+2\right)\)
\(=\dfrac{7}{10}\times10\)
\(=7\)
( 6.5+7-37 )-(1+2+3+...+10)
=(30+7-37)-(1+2+3+...+10)
=(37-37)-(1+2+3+...+10)
=0-55
= -55
\(\left(6\times5+7-37\right)\left(1+2+...+10\right)\)
\(=\left(30-30\right)\left(1+2+...+10\right)=0\)
\(\left[6.5+7-37\right]\left[1+2+3+...+10\right]\)
\(=\left[30-30\right].\left[1+2+3+...+10\right]\)
\(=0\left[1+2+3+...+10\right]\)
\(=0\)
3/ 10 + 1/2
3/10 + 5/10
8/10= 4/5
2/7 x 3/5 = 6/35
3/10+1/2=8/10
2/7x3/5=6/35