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A)
\(\frac{7}{12}+\frac{3}{4}\times\frac{2}{4}\)
\(=\frac{7}{12}\times\left(\frac{3}{4}+\frac{2}{4}\right)\)
\(=\frac{35}{48}\)
B)
\(\frac{8}{9}-\frac{4}{15}:\frac{2}{5}\)
\(=\frac{8}{9}-\frac{2}{3}\)
\(=\frac{6}{27}\)
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\(a,\dfrac{7}{12}+\dfrac{3}{4}\times\dfrac{2}{9}=\dfrac{7}{12}+\dfrac{1}{6}=\dfrac{7}{12}+\dfrac{2}{12}=\dfrac{9}{12}=\dfrac{3}{4}\)
\(b,\dfrac{8}{9}-\dfrac{4}{15}:\dfrac{2}{5}=\dfrac{8}{9}-\dfrac{4}{15}\times\dfrac{5}{2}=\dfrac{8}{9}-\dfrac{2}{3}=\dfrac{8}{9}-\dfrac{6}{9}=\dfrac{2}{9}\)
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\(a.\dfrac{3\times4\times7}{12\times8\times9}=\dfrac{3\times4\times7}{3\times4\times4\times2\times9}\\ =\dfrac{7}{4\times2\times9}=\dfrac{7}{72}\\ b.\dfrac{4\times5\times6}{12\times10\times8}=\dfrac{4\times5\times2\times3}{4\times3\times5\times2\times4\times2}=\dfrac{1}{8}\\ c.\dfrac{5\times6\times7}{12\times14\times15}=\dfrac{5\times6\times7}{2\times6\times7\times2\times5\times3}\\ =\dfrac{1}{2\times2\times3}=\dfrac{1}{12}\)
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3/4+1/2+5/8=15/8
5/9+9/8-15/28=577/504
11/30-9/25x15/27=1/6
3/4:5/8:3/10=4
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a) \(\dfrac{2}{9}+\dfrac{3}{5}-\dfrac{1}{15}=\dfrac{37}{45}-\dfrac{1}{15}=\dfrac{37}{45}-\dfrac{3}{45}=\dfrac{34}{45}\)
b) \(\dfrac{5}{12}\times\dfrac{4}{5}\div4=\dfrac{1}{3}\div4=\dfrac{1}{12}\)
c) \(\dfrac{8}{9}-\dfrac{4}{15}\div\dfrac{2}{5}=\dfrac{8}{9}-\dfrac{2}{3}=\dfrac{8}{9}-\dfrac{6}{9}=\dfrac{2}{9}\)
a)
`7/12+3/4xx2/9`
`=7/12+1/6`
`=7/12+2/12`
`=9/12`
`=3/4`
b)
`8/9-4/15:2/5`
`=8/9-4/15xx5/2`
`=8/9-2/3`
`=8/9-6/9`
`=2/9`
`7/12 + 3/4 xx 2/9`
`= 7/12 + 6/36`
`= 7/12 + 1/6`
`= 7/12 + 2/12`
`= 9/12`
`= 3/4`
__
`8/9 - 4/15 : 2/5`
`= 8/9- 4/15 xx 5/2`
`= 8/9 - 20/30`
`= 8/9- 2/3`
`= 8/9- 6/9`
`= 2/9`