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https://texercises.com/exercise/doppelbruche/
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Exercise:
Berechne die folgen Doppelbrüche. nprvmulticols abclist abc ddf abc dfracdfrac uvx abc dfracdfrac aba abc ddf mnmn abc ddfu^vxyzuv^y^z abc ddfp^-p^-p+ abc ddfk^tkt^ abc dfracdfracw^-ww-w^-w^ abc dfracg+dfrac g-dfrac abc dfrac-dfrac e+dfrace^ abc dfrac-dfrac nv-nv abc dfracr^+dfrac rr+dfracr^ abc dfracdfrac x+dfrac ydfrac xy-dfrac yx abc dfracdfrac c-dfrac ddfrac s + dfrac t abc dfracdfrac ab - dfrac cddfrac d - dfrac b abc dfracdfrac ef dfrac ghdfrac ef - dfrac gh abc dfracdfracx-yx+y - dfracxx-ydfracx+yx-y - dfracyx+y abc dfracx^+t^dfracss-t - dfracts+t abc dfracdfracrr+-dfracrr+dfracrr+-dfracrr+ abc dfracdfrac uw - dfracu+uvu+wu^-uvw+v^w^ abclist nprvmulticols

Solution:
abclist abc edtddf frac frac frac ed abc edtdfracdfrac uvx fracuvxed abc edtdfracdfrac aba fracbed abc edtddf mnmn ed abc edtddfu^vxyzuv^y^z fracu^v y^zxyz uv^ fracu^ yx v fracu^yvx ed abc edtddfp^-p^-p+ fracp-^p+p- fracp-p+ed abc edtddfk^tkt^ frack^ t^t k frack t frackt ed abc edt dfracdfracw^-ww-w^-w^ fracww-w-w^-w frac-ww- frac-w^-w ed abc edtdfracg+dfrac g-dfrac fracdfracg+dfracg- fracg+g-ed abc edtdfrac-dfrac e+dfrace^ fracdfracedfrace^-e^ frace+ed abc edtdfrac-dfrac nv-nv fracdfracv-nv-nv fracv-n-nv^ed abc edtdfracr^+dfrac rr+dfracr^ fracdfracr^+rdfracr^+r^ red abc edtdfracdfrac x+dfrac ydfrac xy-dfrac yx fracdfracy+xxydfracx^-y^xy fracx-yed abc edtdfracdfrac c-dfrac ddfrac s + dfrac t fracdfracd-ccddfract+sst fracstd-ccds+t fracdst-cstcst+cdted abc edtdfracdfrac ab - dfrac cddfrac d - dfrac b fracdfracad-bcbddfracb-dbd fracad-bcb-ded abc edtdfracdfrac ef dfrac ghdfrac ef - dfrac gh fracdfracegfhdfraceh-fgfh fracegeh-fged abc edtdfracdfracx-yx+y - dfracxx-ydfracx+yx-y - dfracyx+y fracdfracx-y^-xx+yx+yx-ydfracx+y^-yx-yx+yx-y fracx^-xy+y^-x^-xyx^+xy+y^-xy+y^ fracy^-xyx^+xy+y^ed abc edtdfracs^+t^dfracss-t - dfracts+t fracs^+t^dfracss+t-ts-ts+ts-t fracs^+t^s+ts-ts^+t^ s^-t^ed abc edtdfracdfracrr+-dfracrr+dfracrr+-dfracrr+ fracdfracrr+-rr+r+r+dfracrr+ - rr+r+r+ fracr^+r-r^-rr^+r-r^-r fracr-r^-r frac-r+ed abc edtdfracdfrac uw - dfracu+uvu+wu^-uvw+v^w^ fracdfracuu+w-wu+uvwu+wu-vw^ fracu^+uw-uw-uvwwu+wu-vw^ fracuu-vwwu+wu-vw^ fracuwu+vu-vw ed abclist
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Exercise:
Berechne die folgen Doppelbrüche. nprvmulticols abclist abc ddf abc dfracdfrac uvx abc dfracdfrac aba abc ddf mnmn abc ddfu^vxyzuv^y^z abc ddfp^-p^-p+ abc ddfk^tkt^ abc dfracdfracw^-ww-w^-w^ abc dfracg+dfrac g-dfrac abc dfrac-dfrac e+dfrace^ abc dfrac-dfrac nv-nv abc dfracr^+dfrac rr+dfracr^ abc dfracdfrac x+dfrac ydfrac xy-dfrac yx abc dfracdfrac c-dfrac ddfrac s + dfrac t abc dfracdfrac ab - dfrac cddfrac d - dfrac b abc dfracdfrac ef dfrac ghdfrac ef - dfrac gh abc dfracdfracx-yx+y - dfracxx-ydfracx+yx-y - dfracyx+y abc dfracx^+t^dfracss-t - dfracts+t abc dfracdfracrr+-dfracrr+dfracrr+-dfracrr+ abc dfracdfrac uw - dfracu+uvu+wu^-uvw+v^w^ abclist nprvmulticols

Solution:
abclist abc edtddf frac frac frac ed abc edtdfracdfrac uvx fracuvxed abc edtdfracdfrac aba fracbed abc edtddf mnmn ed abc edtddfu^vxyzuv^y^z fracu^v y^zxyz uv^ fracu^ yx v fracu^yvx ed abc edtddfp^-p^-p+ fracp-^p+p- fracp-p+ed abc edtddfk^tkt^ frack^ t^t k frack t frackt ed abc edt dfracdfracw^-ww-w^-w^ fracww-w-w^-w frac-ww- frac-w^-w ed abc edtdfracg+dfrac g-dfrac fracdfracg+dfracg- fracg+g-ed abc edtdfrac-dfrac e+dfrace^ fracdfracedfrace^-e^ frace+ed abc edtdfrac-dfrac nv-nv fracdfracv-nv-nv fracv-n-nv^ed abc edtdfracr^+dfrac rr+dfracr^ fracdfracr^+rdfracr^+r^ red abc edtdfracdfrac x+dfrac ydfrac xy-dfrac yx fracdfracy+xxydfracx^-y^xy fracx-yed abc edtdfracdfrac c-dfrac ddfrac s + dfrac t fracdfracd-ccddfract+sst fracstd-ccds+t fracdst-cstcst+cdted abc edtdfracdfrac ab - dfrac cddfrac d - dfrac b fracdfracad-bcbddfracb-dbd fracad-bcb-ded abc edtdfracdfrac ef dfrac ghdfrac ef - dfrac gh fracdfracegfhdfraceh-fgfh fracegeh-fged abc edtdfracdfracx-yx+y - dfracxx-ydfracx+yx-y - dfracyx+y fracdfracx-y^-xx+yx+yx-ydfracx+y^-yx-yx+yx-y fracx^-xy+y^-x^-xyx^+xy+y^-xy+y^ fracy^-xyx^+xy+y^ed abc edtdfracs^+t^dfracss-t - dfracts+t fracs^+t^dfracss+t-ts-ts+ts-t fracs^+t^s+ts-ts^+t^ s^-t^ed abc edtdfracdfracrr+-dfracrr+dfracrr+-dfracrr+ fracdfracrr+-rr+r+r+dfracrr+ - rr+r+r+ fracr^+r-r^-rr^+r-r^-r fracr-r^-r frac-r+ed abc edtdfracdfrac uw - dfracu+uvu+wu^-uvw+v^w^ fracdfracuu+w-wu+uvwu+wu-vw^ fracu^+uw-uw-uvwwu+wu-vw^ fracuu-vwwu+wu-vw^ fracuwu+vu-vw ed abclist
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Attributes & Decorations
Branches
Elementary algebra
Tags
algera, bruchterme, dividieren, doppelbrüche
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Difficulty
(1, default)
Points
0 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator pw
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Link