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a: =>x=3/7+3/5=15/35+21/35=36/35
b: =>x/35=4/5-5/7=28/35-25/35=3/35
=>x=3
c: =>x<3/4+8/4=11/4
=>\(x\in\left\{0;1;2;3\right\}\)
d: =>5/3<x<5/6+24/6=29/6
=>\(x\in\left\{2;3;4\right\}\)
e: =>x<10/12-9/12=1/12
=>x=0
f: =>2/3<x<12/6-5/6=7/6
=>x=1
a: x-4/5=3/7
=>x=3/7+4/5=43/35
b: x+3/7=4/5
=>x=4/5-3/7=13/35
c: 19/20-x=8/5-3/4
=>19/20-x=32/20-15/20=17/20
=>x=2/20=1/10
d: =>4/5*x=2/21
=>x=2/21:4/5=5/42
e: =>x:7/9=6/8
=>x=6/8*7/9=3/4*7/9=21/36=7/12
f: =>x/6=2/3-1/3=1/3
=>x=2
a: x-4/5=3/7
=>x=3/7+4/5=43/35
b: x+3/7=4/5
=>x=4/5-3/7=13/35
c: 19/20-x=8/5-3/4
=>19/20-x=32/20-15/20=17/20
=>x=2/20=1/10
d: =>4/5*x=11/21
=>x=55/84
e: =>x=6/8*7/9=42/72=7/12
f: =>x/6=2/3-1/3=1/3
=>x=2
`(3xx4xx7)/(5xx3xx4)=7/5`
`(2xx5xx6xx8)/(6xx2xx8xx9)=5/9`
`(4xx5xx6)/(3xx10xx8)= (4xx5xx6)/(3xx5xx2xx4xx2)= 6/(3xx2xx2)= 6/(6xx2)=1/2`
\(a,\dfrac{3\times4\times7}{5\times3\times4}=\dfrac{7}{5}\)
\(b,\dfrac{2\times5\times6\times8}{6\times2\times8\times9}=\dfrac{5}{9}\)
\(c,\dfrac{4\times5\times6}{3\times10\times8}=\dfrac{2}{4}=\dfrac{1}{2}\)
a) \(\frac{2}{3}.\frac{3}{4}.\frac{4}{5}:\frac{1}{5}\) b) \(\frac{1.2.3.4}{5.6.7.8}\)
\(=\frac{1}{2}.\frac{4}{5}:\frac{1}{5}\) \(=\frac{24}{1680}\)
\(=\frac{2}{5}.5\) \(=70\)
\(=2\)
c) \(\frac{2}{5}.\frac{3}{4}.\frac{5}{6}:\frac{3}{4}\)
\(=\frac{3}{10}.\frac{5}{6}.\frac{4}{3}\)
\(=\frac{1}{4}.\frac{4}{3}\)
\(=\frac{1}{3}\)
\(\dfrac{3}{4}\cdot\dfrac{5}{6}=\dfrac{3\cdot5}{4\cdot6}=\dfrac{15}{24}=\dfrac{5}{8}\)
\(\dfrac{2}{4}\) x \(\dfrac{5}{6}\)
\(=\)\(\dfrac{\text{3x5}}{\text{4x6}}\)
\(=\dfrac{5}{8}\)