4 . tính :
( 1/4 + 35% + 0,65 + 75%) x ( \(1\frac{6}{9}\)+\(4\frac{8}{24}\))
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\(\left(\frac{1}{4}+35\%+0,65+75\%\right)x\)\(\left(1\frac{6}{3}+4\frac{8}{24}\right)\)
\(=\left(\frac{1}{4}+\frac{7}{20}+\frac{13}{20}+\frac{3}{4}\right)\)\(x\left(3+\frac{13}{3}\right)\)
\(=\left(\frac{5}{20}+\frac{7}{20}+\frac{13}{20}+\frac{15}{20}\right)\)\(x7\)
\(=2x7\)
\(=14\)
\(\left(\dfrac{1}{4}+35\%+0,65+75\%\right)\times\left(1\dfrac{6}{9}+4\dfrac{8}{24}\right)\)
\(=\left(0,25+0,35+0,65+0,75\right)\times\left(1+\dfrac{2}{3}+4+\dfrac{1}{3}\right)\)
\(=2\times6\)
\(=12\)
\(\left(\dfrac{1}{4}+35\%+0,65+75\%\right)\times\left(1\dfrac{6}{9}+4\dfrac{8}{24}\right)\)
\(=\left(\dfrac{1}{4}+\dfrac{7}{20}+\dfrac{65}{100}+\dfrac{3}{4}\right)\times\left(\dfrac{15}{9}+\dfrac{13}{3}\right)\)
\(=\left(\dfrac{5}{20}+\dfrac{7}{20}+\dfrac{13}{20}+\dfrac{15}{20}\right)\times6\)
\(=\left[\left(\dfrac{15}{20}+\dfrac{5}{20}\right)+\left(\dfrac{7}{20}+\dfrac{13}{20}\right)\right]\times6\)
\(=2\times6\)
\(=12\)
[\(\dfrac{1}{4}\) + 35% + 0,65% + 75% ]: [ 1\(\dfrac{6}{4}\) + 4\(\dfrac{8}{24}\)]
= [25% + 35% + 0,65% + 75%] : [ \(\dfrac{10}{4}\) + \(\dfrac{104}{24}\)]
= [ (25% +75%) + (35% +0,65%)]:(\(\dfrac{60}{24}\) + \(\dfrac{104}{24}\))
= [ 100% + 35,65%]: \(\dfrac{41}{6}\)
= 135,65% : \(\dfrac{41}{6}\)
= \(\dfrac{13565}{10000}\) : \(\dfrac{41}{6}\)
= \(\dfrac{13565}{10000}\) \(\times\) \(\dfrac{6}{41}\)
= \(\dfrac{8139}{41000}\)
a) =(1/4+7/20+13/20+3/4):(15/9+104/24)=1/3 b) =4000001,001
\(\left(\dfrac{1}{4}+35\%+0,65+75\%\right)\cdot\left(1\dfrac{6}{9}+4\dfrac{8}{24}\right)\\ =\left(\dfrac{1}{4}+\dfrac{7}{20}+\dfrac{13}{20}+\dfrac{3}{4}\right)\cdot\left(\dfrac{5}{3}+\dfrac{13}{3}\right)\\ =\left[\left(\dfrac{1}{4}+\dfrac{3}{4}\right)+\left(\dfrac{7}{20}+\dfrac{13}{20}\right)\right]\cdot\left(\dfrac{18}{3}\right)\\ =\left(\dfrac{4}{4}+\dfrac{20}{20}\right)\cdot6\\ =\left(1+1\right)\cdot6\\ =2\cdot6\\ =12\)
\(\left(\dfrac{1}{4}+35\%+0,65+75\%\right)\left(1\dfrac{6}{9}+4\dfrac{8}{24}\right)\)
\(=\left(\dfrac{1}{4}+\dfrac{7}{20}+\dfrac{13}{20}+\dfrac{3}{4}\right)\left(\dfrac{5}{3}+\dfrac{13}{3}\right)\)
\(=\left\{\left[\dfrac{1}{4}+\dfrac{3}{4}\right]+\left[\dfrac{7}{20}+\dfrac{13}{20}\right]\right\}\left(\dfrac{5+13}{3}\right)\)
=\(\left(1+1\right).6=2.6=12\)
= ( 25% + 35% + 65% + 75% ) x ( 1 + 2/3 + 4 + 1/3 )
= ( ( 25% + 75% ) + ( 35% + 65% ) ) x 6
= 2 x 6 = 12
\(\left(\frac{1}{4}+35\%+0,65+75\%\right)\)\(x\left(1\frac{6}{9}+4\frac{8}{24}\right)\)
\(=\left(\frac{1}{4}+\frac{7}{20}+\frac{65}{100}+\frac{3}{4}\right)\)\(x\left(\frac{15}{9}+\frac{13}{3}\right)\)
\(=\left(\frac{5}{20}+\frac{7}{20}+\frac{13}{20}+\frac{15}{20}\right)\)\(x6\)
\(=2x6\)
\(=12\)