\(\frac13-\left|\frac54-2x\right|=\frac14\)

\(\left|\frac54-2x\right|=\frac13-\frac14\)

\(\left|\frac54-2x\right|=\frac{1}{12}\)

\(\left[\begin{array}{l}\frac54-2x=\frac{1}{12}\\ \frac54-2x=-\frac{1}{12}\end{array}\Rightarrow\left[\begin{array}{l}2x=\frac54-\frac{1}{12}\\ 2x=\frac54-\left(-\frac{1}{12}\right)\end{array}\right.\right.\)

\(\Rightarrow\left[\begin{array}{l}2x=\frac76\\ 2x=\frac43\end{array}\Rightarrow\left[\begin{array}{l}x=\frac76:2=\frac{7}{12}\\ x=\frac43:2=\frac23\end{array}\right.\right.\)

vậy \(x\in\left\lbrace\frac{7}{12};\frac23\right\rbrace\)

\(\frac13-\left\lbrack\frac54-2x\right\rbrack=\frac14\)

\(\frac54-2x=\frac13-\frac14\)

\(\frac54-2x=\frac{4}{12}-\frac{3}{12}\)

\(\frac54-2x=\frac{1}{12}\)

\(2x=\frac54-\frac{1}{12}\)

\(2x=\frac{15}{12}-\frac{1}{12}\)

\(2x=\frac{14}{12}\)

\(2x=\frac76\)

\(x=\frac76:2\)

\(x=\frac76.\frac12\)

\(x=\frac{7}{12}\)

Vậy \(x=\frac{7}{12}\)

1 + 1 =  2

2 + 3= 5

6 + 6 = 12  

Tìm x:

X + 3,68 = 4,035

X           = 4,035 - 3,68

X           = 0,355

5,0165 : X = 5

            X  = 5,0165 : 5

            X = 1,0033

Ủng hộ nha! :)      

Bài 1 :

1 + 1 = 2

2 + 3 = 5

6 + 6 = 12

Bài 2 :

x + 3,68 = 4,035

x           = 4,035 - 3,68

x            = 0,35

5,0165 : x = 5

              x = 5,0165 : 5

              x = 1.0033

\(\left(1-\frac{1}{3}\right)x\left(1-\frac{1}{4}\right)x...x\left(1-\frac{1}{2014}\right)\)

A = \(\frac{2}{3}x\frac{3}{4}x\frac{4}{5}x...x\frac{2012}{2013}x\frac{2013}{2014}\)

A = \(\frac{2x3x4x...x2012x2013}{3x4x5x...x2013x2014}\)

a = \(\frac{2}{2014}=\frac{1}{1007}\)

1/1007 do

làm bài 6 nha

Bài 6:

3024 = 6x7x8x9

Vậy 4 số tự nhiên liên tiếp thỏa mãn đề bài là:

6; 7; 8; 9

Bài 2:

a; r = 5cm

Chu vi hình tròn là: 5 x 2 x 3,14 = 31,4(dm)

b; r = 1,2dm

Ch vi hình tròn là: 1,2 x 2 x 3,14 = 7,536(dm)

c; r = 1\(\frac12\) = \(\frac32\)

Chu vi của hình tròn là: \(\frac32\) x 2 x 3,14 = 9,42

Bài 3:

a; d = 0,8m

Chu vi của hình tròn là: 0,8 x 3,14 = 2,152(dm)

b; d = 35cm

Chu vi của hình tròn là: 35 x 3,14 = 109,9(cm)

d; d = 1 \(\frac35\) dm

1\(\frac35\)dm = 1,6dm

Chu vi của hình tròn là:

1,6 x 3,14 = 5,024(dm)

\(3\frac{3}{4}\times4=\frac{3\times4+3}{4}\times4=\frac{15}{4}\times4=\frac{15\times4}{4}=15\)

\(4\frac{3}{2}\div1\frac{1}{2}=\frac{4\times2+3}{2}\div\frac{1\times2+1}{2}=\frac{11}{2}\div\frac{3}{2}=\frac{11}{2}\times\frac{2}{3}=\frac{11}{3}\)

\(4\frac{3}{4}+2\frac{3}{2}=\frac{4\times4+3}{4}+\frac{2\times2+3}{2}=\frac{19}{4}+\frac{7}{2}=\frac{19}{4}+\frac{14}{4}=\frac{33}{4}\)

\(3\frac{8}{6}-4\frac{1}{3}=\frac{3\times8+6}{6}-\frac{4\times3+1}{3}=\frac{30}{6}-\frac{13}{3}=\frac{30}{6}-\frac{26}{6}=\frac{4}{6}=\frac{2}{3}\)

\(3\frac{2}{4}\)x 4 = \(\frac{14}{4}\)x 4 = \(\frac{56}{4}\)

\(4\frac{3}{2}\): \(1\frac{1}{2}\)= \(\frac{11}{2}\): \(\frac{3}{2}\)= \(\frac{11}{2}\)x \(\frac{2}{3}\)= \(\frac{22}{6}\)= \(\frac{11}{3}\)

\(4\frac{3}{4}\)+ \(2\frac{3}{2}\)= \(\frac{11}{4}\)+ \(\frac{7}{2}\)= \(\frac{25}{4}\)= 6,25

\(3\frac{8}{6}\)- \(4\frac{1}{3}\)= \(\frac{13}{3}\)- \(\frac{13}{3}\)= 0

Đặt \(A=\frac54+\frac58+\frac{5}{16}+\frac{5}{32}+\frac{5}{64}\)

=>\(A\times2=\frac52+\frac54+\frac58+\frac{5}{16}+\frac{5}{32}\)

=>\(2\times A-A=\frac52+\frac54+\frac58+\frac{5}{16}+\frac{5}{32}-\frac54-\frac58-\frac{5}{16}-\frac{5}{32}-\frac{5}{64}\)

=>\(A=\frac52-\frac{5}{64}=\frac{160}{64}-\frac{5}{64}=\frac{155}{64}\)

Ta có: \(1+\frac54+\frac58+\frac{5}{16}+\frac{5}{32}+\frac{5}{64}\)

\(=1+\frac{155}{64}=\frac{64+155}{64}=\frac{219}{64}\)

1 + 5/4 + 5/8 + 5/32 + 5/64 = 37/64 = 199/ 64

Đây bạn nhé!

3 1/4=3+1/4=3/1+1/4=12/4+1/4=13/4

3 1/4 = 13/4

Vì:

3 1/4 = 3 + 1/4 = 13/4 = 3, 25

a)\(\frac{5}{12}:\frac{2}{5}+\frac{7}{12}:\frac{2}{5}-\frac{1}{3}:\frac{2}{5}=\left(\frac{5}{12}+\frac{7}{12}-\frac{1}{3}\right):\frac{2}{5}=\frac{2}{3}:\frac{2}{5}=\frac{5}{3}.\)

b) \(\left(6,7+2,3+5,8\right):1,2=14,8:1,2=\frac{148}{10}:\frac{12}{10}=\frac{148}{12}=\frac{74}{6}=\frac{37}{3}\)

hk tốt!

=25/24 + 35/24 - 5/6

=60/24 - 5/6

=15/6 - 5/6

=15-5/6

=10/6

=5/3

mình chỉ biết í a thôi