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`3/5 : x =1/3 +1/2`
` 3/5 : x= 2/6 +3/6`
` 3/5 : x= 5/6`
` x= 3/5 : 5/6`
` x= 3/5 xx 6/5`
` x= 18/25`
__
`x: 7/15 =2`
` x= 2xx 7/15`
` x= 14/15`
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`x-3/2=11/4-5/4`
`x-3/2= 6/4`
`x= 3/2 +3/2`
`x= 6/2`
`x=3`
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`x+5/4 = 3/2+7/12`
`x+5/4 = 18/12+7/12`
`x+5/4 = 25/12`
`x= 25/12-5/4`
`x= 25/12- 15/12`
`x= 10/12`
`x= 5/6`
4/5+6=4/5+30/5=34/5
1/2+1/3+7/12=6/12+4/12+7/12=17/12
3/4-5/12=9/12-5/12=4/12
2/3:4/3*5=1/2*5=1/2*5/1=5/2
1/3+1/5 < 1/3 : 1/5
1/3-1/4 =1/3 * 1/4
11/12-11/12 < 2/3-1/4
1/3+1/5<1/3 : 1/5
1/3-1/4=1/3 * 1/4
11/12-11/12<2/3-1/4
\(1+\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}\)
\(=\dfrac{5}{4}+\dfrac{1}{8}+\dfrac{1}{16}\)
\(=\dfrac{11}{8}+\dfrac{1}{16}\)
\(=\dfrac{23}{16}\)
______
\(2-\dfrac{1}{8}-\dfrac{1}{12}-\dfrac{1}{16}\)
\(=\dfrac{15}{8}-\dfrac{1}{12}-\dfrac{1}{16}\)
\(=\dfrac{43}{24}-\dfrac{1}{16}\)
\(=\dfrac{83}{48}\)
_________
\(\dfrac{4}{99}\times\dfrac{18}{5}:\dfrac{12}{11}+\dfrac{3}{5}\)
\(=\dfrac{8}{55}:\dfrac{12}{11}+\dfrac{3}{5}\)
\(=\dfrac{8}{55}\times\dfrac{11}{12}+\dfrac{3}{5}\)
\(=\dfrac{2}{15}+\dfrac{3}{5}\)
\(=\dfrac{11}{15}\)
__________
\(\left(1-\dfrac{3}{4}\right)\times\left(1+\dfrac{1}{3}\right)\times\left(1-\dfrac{1}{3}\right)\)
\(=\dfrac{1}{4}\times\dfrac{4}{3}\times\dfrac{2}{3}\)
\(=\dfrac{4\times2}{4\times3\times3}\)
\(=\dfrac{2}{3\times3}\)
\(=\dfrac{2}{9}\)
\(\dfrac{3}{4}+\dfrac{2}{3}+\dfrac{5}{12}\left(MSC:12\right)\\ =\dfrac{3\times3}{4\times3}+\dfrac{2\times4}{3\times4}+\dfrac{5}{12}\\ =\dfrac{9}{12}+\dfrac{8}{12}+\dfrac{5}{12}\\ =\dfrac{9+8+5}{12}=\dfrac{22}{12}\\ =\dfrac{11}{6}.\)
3/4+2/3+5/12
=9/12+8/12+5/12
=11/6.