5 3/4 : 3 + 2 1/4 x 1/3 -3/8
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a)
(1/3-1/5)x1/4 = 1/3x1/4-1/5x1/4=1/12-1/20=1/30
(1/3-1/5)x1/4 = 2/15x1/4=1/30
b)
2/5 x 3/7 + 2/5 x 4/7= 6/35 + 8/35 = 14/35 = 2/5
2/5 x 3/7 + 2/5 x 4/7= (3/7+4/7) x 2/5 = 1 x 2/5 = 2/5
a: C1: (1/3-1/5)*1/4
=2/15*1/4=2/60=1/30
C2: (1/3-1/5)*1/4
=1/3*1/4-1/5*1/4
=1/12-1/20=1/30
b: C1: 2/5*3/7+2/5*4/7
=6/35+8/35=14/35=2/5
C2: 2/5*3/7+2/5*4/7
=2/5(3/7+4/7)
=2/5*1=2/5
1/2* x+2/3=9/2
1/2 * x = 9/2 - 2/3
1/2 * x= 23/6
x= 23/6 : 1/2
x= 23/6 x 2= 23/3
___
1/2*x-1/3=2/3
1/2*x = 2/3 + 1/3
1/2 * x= 1
x= 1: 1/2
x= 2
____
1/4+3/4:x=3
3/4 : x = 3 - 1/4
3/4 : x= 11/4
x= 11/4 : 3/4
x= 11/3
\(\dfrac{1}{2}\)\(\times\)\(x\) + \(\dfrac{2}{3}\) = \(\dfrac{9}{2}\)
\(\dfrac{1}{2}\)\(\times\)\(x\) = \(\dfrac{9}{2}\) - \(\dfrac{2}{3}\)
\(\dfrac{1}{2}\)\(\times\)\(x\) = \(\dfrac{23}{6}\)
\(x\) = \(\dfrac{23}{6}\):\(\dfrac{1}{2}\)
\(x\) = \(\dfrac{23}{3}\)
\(\dfrac{1}{2}\)\(\times\)\(x\) - \(\dfrac{1}{3}\) = \(\dfrac{2}{3}\)
\(\dfrac{1}{2}\)\(\times\)\(x\) = \(\dfrac{2}{3}\) + \(\dfrac{1}{3}\)
\(\dfrac{1}{2}\times\)\(x\) = 1
\(x\) = 1 : \(\dfrac{1}{2}\)
\(x\) = 2
\(\dfrac{1}{4}\) + \(\dfrac{3}{4}\): \(x\) = 3
\(\dfrac{3}{4}\): \(x\) = 3 - \(\dfrac{1}{4}\)
\(\dfrac{3}{4}\):\(x\) = \(\dfrac{11}{4}\)
\(x\) = \(\dfrac{3}{4}\): \(\dfrac{11}{4}\)
\(x\) = \(\dfrac{3}{11}\)
\(\frac{1}{2}\times\left(x-\frac{4}{5}\right)+\frac{3}{4}x=\frac{5}{12}\)
\(\Leftrightarrow\frac{1}{2}x-\frac{2}{5}+\frac{3}{4}x=\frac{5}{12}\)
\(\Leftrightarrow\frac{1}{2}x+\frac{3}{4}x=\frac{5}{12}+\frac{2}{5}\)
\(\Leftrightarrow\frac{5}{4}x=\frac{49}{60}\)
\(\Leftrightarrow x=\frac{49}{75}\)
Vậy \(x=\frac{49}{75}\)
Bài làm:
1) \(\frac{3}{5}\div\frac{2x}{15}=\frac{1}{2}\div\frac{4}{5}\)
\(\Leftrightarrow\frac{9}{2x}=\frac{5}{8}\)
\(\Rightarrow10x=72\)
\(\Leftrightarrow x=\frac{36}{5}\)
2) \(-\frac{4}{2,5}\div\frac{3}{5}=\frac{1}{5}\div x\)
\(\Leftrightarrow\frac{1}{5}\div x=-\frac{8}{3}\)
\(\Rightarrow x=-\frac{3}{40}\)
3) \(0,12\div3=2x\div\frac{3}{5}\)
\(\Leftrightarrow\frac{1}{25}=\frac{10}{3}x\)
\(\Rightarrow x=\frac{3}{250}\)
\(5\frac{3}{4}:3+2\frac{1}{4}\times\frac{1}{3}-\frac{3}{8}\)
\(=\frac{23}{4}\times\frac{1}{3}+\frac{9}{4}\times\frac{1}{3}-\frac{3}{8}\)
\(=\left(\frac{23}{4}+\frac{9}{4}\right)\times\frac{1}{3}-\frac{3}{8}\)
\(=8\times\frac{1}{3}-\frac{3}{8}\)
\(=\frac{8}{3}-\frac{3}{8}\)
\(=\frac{55}{24}\)
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