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\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}\)
= \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}\)
= \(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}\)
= \(1-\frac{1}{7}\)
= \(\frac{7}{7}-\frac{1}{7}\)
= \(\frac{6}{7}\)
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 !!!
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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) \(\frac{1}{1x2}+\frac{1}{2x3}+\frac{1}{3x4}+...+\frac{1}{9x10}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\)
\(=1-\frac{1}{10}\)
\(=\frac{9}{10}\)
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a)\(x+\frac{15}{16}+\frac{7}{8}=\frac{15}{4}\)
\(x+\frac{29}{16}=\frac{15}{4}\)
\(x=\frac{15}{4}-\frac{29}{16}\)
\(x=\frac{31}{16}\)
b)\(x-\frac{27}{28}-\frac{9}{14}=\frac{13}{7}\)
\(x-\frac{45}{28}=\frac{13}{7}\)
\(x=\frac{13}{7}+\frac{45}{28}\)
\(x=\frac{97}{28}\)
c)\(x\times\frac{1}{5}+x+\frac{1}{6}=\frac{2}{3}\)
\(x\times\frac{1}{5}+x=\frac{2}{3}-\frac{1}{6}\)
\(x\times\left(\frac{1}{5}+1\right)=\frac{1}{2}\)
\(x\times\frac{6}{5}=\frac{1}{2}\)
\(x=\frac{1}{2}:\frac{6}{5}\)
\(x=\frac{5}{12}\)
d)\(x:14=\frac{1}{4}+\frac{2}{9}+\frac{3}{4}\)
\(x:14=\frac{11}{9}\)
\(x=\frac{11}{9}\times14\)
\(x=\frac{154}{9}\)
#H
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Bài 1
1/2 x 3/4 : 4/5
= 3/8 : 4/5
= 3/8 x 5/4
= 15/32
2/3 + 1/6 - 1/2
= 4/6 + 1/6 - 3/6
= 5/6 - 3/6
= 1/3
3/5 + 4 : 2/3 - 3/2
= 3/5 + 4 x 3/2 - 3/2
= 3/5 + 6 - 3/2
= 3/5 + 30/5 - 3/2
= 33/5 - 3/2
= 66/10 - 15/10
= 28/5
Bài 2
x - 1/4 = 1/2
x = 1/2 + 1/4
x = 2/4 + 1/4
x = 3/4
2/3 + x = 1
x = 1 - 2/3
x = 3/3 - 2/3
x = 1/3
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giúp mình nha ,mìnhcaanf ngay câu trả lời , bạn nào trar lòi đúng mính k cho nha
1,x×1/2 + 3/2 × x = 4/5
X × (1/2 + 3/2 ) = 4/5
X × 2 = 4/5
4/5 : 2 = x
X = 2/5
2,
Số tròn trăm lớn nhất có 4 chữ số là :9900
Số lớn có 4 chữ số là : 9999
Tổng 2 số là :
9900 × 2 = 19 800
Số bé là :
19 800 - 9 999 = 9 801
3,
A)4/15 × 7/9 + 4/15 × 2/9 = 4/15 ×(7/9 +2/9)
= 4/15 ×1 = 4/15
B)13 / 19 × 23 /11 - 13/19 × 8/11 - 13 / 19 × 4/11
=13/19 × (23/11 - 8/11 - 4/11)
= 13/19 × 1
= 13/19
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có : \(\left[x\cdot\frac{1}{2}+2\right]:\frac{3}{5}+4=9.\)
=> \(\left[x\cdot\frac{1}{2}+2\right]:\frac{3}{5}=9-4.\)
=> \(\left[x\cdot\frac{1}{2}+2\right]:\frac{3}{5}=5.\)
=> \(x\cdot\frac{1}{2}+2=5\cdot\frac{3}{5}.\)
=> \(x\cdot\frac{1}{2}+2=3.\)
=> \(x\cdot\frac{1}{2}=3+2.\)
=> \(x\cdot\frac{1}{2}=5.\)
=> \(x=5:\frac{1}{2}.\)
=> \(x=5\cdot2.\)
=> \(x=10.\)
Vậy x = 10 .
a)\(\left[x\times\frac{1}{2}+2\right]:\frac{3}{5}+4=9\) b)\(x\times\frac{2}{3}-\frac{1}{5}=\frac{2}{5}+1\)
\(\left[x\times\frac{1}{2}+2\right]:\frac{3}{5}=9-4\) \(x\times\frac{2}{3}-\frac{1}{5}=\frac{7}{5}\)
\(\left[x\times\frac{1}{2}+2\right]:\frac{3}{5}=5\) \(x\times\frac{2}{3}=\frac{7}{5}+\frac{1}{5}\)
\(x\times\frac{1}{2}+2=5\times\frac{3}{5}\) \(x\times\frac{2}{3}=\frac{8}{5}\)
\(x\times\frac{1}{2}+2=3\) \(x=\frac{8}{5}:\frac{2}{3}\)
\(x\times\frac{1}{2}=3-2\) \(x=\frac{8}{5}\times\frac{3}{2}\)
\(x\times\frac{1}{2}=1\) \(x=\frac{12}{5}\)
\(x=1:\frac{1}{2}\)
\(x=2\)
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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
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a) X x 5/8 = 1/3
X = 1/3 : 5/8
X = 1/3 x 8/5
X = 8/15
b) 12/11 x X = 4
X = 4 : 12/11
X = 4 x 11/12
X = 33
c) 5 x X = 7/9
X = 7/9 : 5
X = 7/9 x 5
X = 35/45
X = 7/9
Nếu mình có trả lời sai thì thông cảm cho mình vì mình cũng lớp 4 :)
\(\dfrac{4}{7}\times\left(x-\dfrac{1}{4}\right)-\dfrac{3}{2}\times\left(\dfrac{4}{9}-x\right)=\dfrac{1}{3}\)
\(\dfrac{4}{7}\times x-\dfrac{4}{7}\times\dfrac{1}{4}-\dfrac{3}{2}\times\dfrac{4}{9}+\dfrac{3}{2}\times x=\dfrac{1}{3}\)
\(x\times\left(\dfrac{4}{7}+\dfrac{3}{2}\right)-\dfrac{1}{7}-\dfrac{2}{3}=\dfrac{1}{3}\)
\(x\times\dfrac{29}{14}-\dfrac{17}{21}=\dfrac{1}{3}\)
\(x\times\dfrac{29}{14}=\dfrac{8}{7}\)
\(x=\dfrac{16}{29}\)