tính phân số
4*5*6=
12*15*9=
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4 : 9 = \(\dfrac{4}{9}\) 8 : 11 =\(\dfrac{8}{11}\) 7 : 15 =\(\dfrac{7}{15}\)
15 : 5 = \(\dfrac{15}{5}=\dfrac{3}{1}\) 63 : 21 =\(\dfrac{63}{21}\) 45 : 9 =\(\dfrac{45}{9}=\dfrac{5}{1}\)
6 : 18 = \(\dfrac{6}{18}=\dfrac{1}{3}\) 144 : 24 =\(\dfrac{244}{24}\) 7 =\(\dfrac{7}{1}\)
15 = \(\dfrac{15}{1}\) 10 = \(\dfrac{10}{1}\) 0 =\(\dfrac{0}{1}\)
\(4:9=\dfrac{4}{9};15:5=\dfrac{15}{5}=3;6:18=\dfrac{6}{18}=\dfrac{1}{3}\\ 15=\dfrac{15}{1};8:11=\dfrac{8}{11};63:21=\dfrac{63}{21}=3;144:24=\dfrac{144}{24};10=\dfrac{10}{1}\\ 7:15=\dfrac{7}{15};45:9=\dfrac{45}{9}=5;7=\dfrac{7}{1};0=0\)
5km2 400m2 = 5400m2
18000000m2 = 18km2
\(\dfrac{5}{4}< \dfrac{3}{4}\)
\(\dfrac{5}{6}< \dfrac{6}{5}\)
\(\dfrac{6}{8}=\dfrac{3}{4}\)
\(\dfrac{7}{3}>\dfrac{7}{5}\)
\(\dfrac{4}{6}=\dfrac{2}{3}\)
\(\dfrac{5}{15}=\dfrac{1}{3}\)
\(\dfrac{7}{14}=\dfrac{1}{2}\)
\(\dfrac{6}{24}=\dfrac{1}{4}\)
quy đồng mẫu số các phân số
4 phần 5 và 7 phần 9
5 phần 8 và 15 phần 16
1 phần 6 ; 5 phần 8 và 4 phần 5
\(\dfrac{4\times9}{5\times9}=\dfrac{36}{45};\dfrac{7\times5}{9\times5}=\dfrac{25}{45}\\ \dfrac{5\times2}{8\times2}=\dfrac{10}{16};\dfrac{15}{16}\\ \dfrac{1\times40}{6\times40}=\dfrac{40}{240};\dfrac{5\times30}{8\times30}=\dfrac{150}{240};\dfrac{4\times48}{5\times48}=\dfrac{192}{240}\)
`5`
`a, -7/21 +(1+1/3)`
`=-7/21 + ( 3/3 + 1/3)`
`=-7/21+ 4/3`
`=-7/21+ 28/21`
`= 21/21`
`=1`
`b, 2/15 + ( 5/9 + (-6)/9)`
`= 2/15 + (-1/9)`
`= 1/45`
`c, (9-1/5+3/12) +(-3/4)`
`= ( 45/5-1/5 + 3/12)+(-3/4)`
`= ( 44/5 + 3/12)+(-3/4)`
`= 9,05 +(-0,75)`
`=8,3`
`6`
`x+7/8 =13/12`
`=>x= 13/12 -7/8`
`=>x=5/24`
`-------`
`-(-6)/12 -x=9/48`
`=> 6/12 -x=9/48`
`=>x= 6/12-9/48`
`=>x=5/16`
`---------`
`x+4/6 =5/25 -(-7)/15`
`=>x+4/6 =1/5 + 7/15`
`=> x+ 4/6=10/15`
`=>x=10/15 -4/6`
`=>x=0`
`----------`
`x+4/5 = 6/20 -(-7)/3`
`=>x+4/5 = 6/20 +7/3`
`=>x+4/5 = 79/30`
`=>x=79/30 -4/5`
`=>x= 79/30-24/30`
`=>x= 55/30`
`=>x= 11/6`
\(5)\)
\(A=\dfrac{-7}{21}+\left(1+\dfrac{1}{3}\right)\)
\(A=\dfrac{-7}{21}+\dfrac{4}{3}\)
\(A=\dfrac{-7}{21}+\dfrac{28}{21}\)
\(A=1\)
\(--------------\)
\(B=\dfrac{2}{15}+\left(\dfrac{5}{9}+\dfrac{-6}{9}\right)\)
\(B=\dfrac{2}{15}+\dfrac{-1}{9}\)
\(B=\dfrac{18}{135}+\dfrac{-15}{135}\)
\(B=\dfrac{1}{45}\)
\(------------\)
\(C=9-\dfrac{1}{5}+\dfrac{3}{12}+\dfrac{-3}{4}\)
\(C=\dfrac{44}{5}+\dfrac{3}{12}+\dfrac{-3}{4}\)
\(C=\dfrac{528}{60}+\dfrac{15}{60}+\dfrac{-3}{4}\)
\(C=\dfrac{181}{20}+\dfrac{-3}{4}\)
\(C=\dfrac{181}{20}+\dfrac{-15}{20}\)
\(C=\dfrac{83}{10}\)
\(6)\)
\(a)\) \(x+\dfrac{7}{8}=\dfrac{13}{12}\)
\(x=\dfrac{13}{12}-\dfrac{7}{8}\)
\(x=\dfrac{104}{96}-\dfrac{84}{96}\)
\(x=\dfrac{5}{24}\)
\(b)\) \(\dfrac{-6}{12}-x=\dfrac{9}{48}\)
\(\dfrac{-1}{2}-x=\dfrac{3}{16}\)
\(x=\dfrac{-1}{2}-\dfrac{3}{16}\)
\(x=\dfrac{-8}{16}-\dfrac{3}{16}\)
\(x=\dfrac{-11}{16}\)
\(c)\) \(x+\dfrac{4}{6}=\dfrac{5}{25}-\left(-\dfrac{7}{15}\right)\)
\(x+\dfrac{4}{6}=\dfrac{5}{25}+\dfrac{7}{15}\)
\(x+\dfrac{4}{6}=\dfrac{75}{375}+\dfrac{105}{375}\)
\(x+\dfrac{4}{6}=\dfrac{12}{25}\)
\(x=\dfrac{12}{25}-\dfrac{4}{6}\)
\(x=\dfrac{72}{150}-\dfrac{100}{150}\)
\(x=\dfrac{-14}{75}\)
\(d)\) \(x+\dfrac{4}{5}=\dfrac{6}{20}-\left(-\dfrac{7}{3}\right)\)
\(x+\dfrac{4}{5}=\dfrac{6}{20}+\dfrac{7}{3}\)
\(x+\dfrac{4}{5}=\dfrac{18}{60}+\dfrac{140}{60}\)
\(x+\dfrac{4}{5}=\dfrac{79}{30}\)
\(x=\dfrac{79}{30}-\dfrac{4}{5}\)
\(x=\dfrac{79}{30}-\dfrac{24}{30}\)
\(x=\dfrac{11}{6}\)
\(\frac{4\text{x}5\text{x}6}{12\text{x}15\text{x}9}\)= \(\frac{2\text{x}2\text{x}5\text{x}6}{2\text{x}6x5\text{x}3\text{x}9}\)( chai cả tử và mẫu cho 2 , 5 và 6 )
Ta còn : \(\frac{2}{3\text{x}9}\)= \(\frac{2}{27}\)
4*5*6 = 120
12 * 15 * 9 = 1620