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= 51/20
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= 3/14
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= 4/7 - 2/7
= 2/7
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= 17/45
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= 2/3
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= 2 x 1/4
= 1/2
a. \(\dfrac{656565}{272727}=\dfrac{65}{27}\)
b. \(\dfrac{2}{7}\left(\dfrac{3}{4}+\dfrac{9}{4}\right)=\dfrac{6}{7}\)
`a,2/5 + 3/4`
`= 8/20 + 15/20`
`= 23/20`
`b,2/7 + 5/9`
`= 18/63 + 35/63`
`= 53/63`
`c, 4/7 + 3/4 + 2/7`
`= ( 4/7 + 2/7)+3/4`
`= 6/7 + 3/4`
`= 24/28 + 21/28`
`= 45/28`
`@ yl`
\(\dfrac{2}{5}+\dfrac{3}{4}=\dfrac{8}{20}+\dfrac{15}{20}=\dfrac{23}{20}\)
\(\dfrac{2}{7}+\dfrac{5}{9}=\dfrac{18}{63}+\dfrac{35}{63}=\dfrac{53}{63}\)
\(\dfrac{4}{7}+\dfrac{3}{4}+\dfrac{2}{7}= \left(\dfrac{4}{7}+\dfrac{2}{7}\right)+\dfrac{3}{4}=\dfrac{6}{7}+\dfrac{3}{4}=\dfrac{45}{28}\)
1 / 9 + 2 / 9 + 4 / 9 = 7 / 9
5 / 5 + 6 / 5 + 1 = 15 / 5 = 3
12 / 2 + 4 / 2 + 1 + 3 / 2 = 21 / 2
7 / 3 + 6 / 3 + 1 + 1 = 19 / 3
\(\frac{4}{9}:\frac{5}{7}=\frac{4}{9}\times\frac{7}{5}=\frac{4\times7}{9\times5}=\frac{28}{45}\)
\(\frac{5}{7}:\frac{4}{9}=\frac{5}{7}\times\frac{9}{4}=\frac{5\times9}{7\times4}=\frac{45}{28}\)
\(\frac{1}{3}:\frac{1}{4}=\frac{1}{3}\times4=\frac{4}{3}\)
\(\frac{1}{4}:\frac{1}{3}=\frac{1}{4}\times3=\frac{3}{4}\)
a: \(=\dfrac{4}{5}\cdot\dfrac{7}{3}\cdot\dfrac{3}{7}\cdot\dfrac{5}{4}+2011=2011+1=2012\)
b: \(=\dfrac{1}{3}\cdot\dfrac{9}{7}\cdot\dfrac{7}{9}=\dfrac{1}{3}\)
$\frac34\times\frac59+\frac34\times\frac79-\frac34\times\frac43$
$=\frac34\times(\frac59+\frac79-\frac43)$
$=\frac34\times(\frac{12}{9}-\frac{12}{9})$
$=\frac34\times0=0$