15 \times \frac { 1 - \frac { 1 } { ( 1 + 2 \% ) ^ { 60 } } } { 0.02 } + \frac { 100 } { ( 1.02 ) ^ { 60 } }
Meta
\frac{1570595295550101317731761790119048900197780082986481663525693640682531983656662677206925372487125508500750}{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001}\approx 551.891526802
Deila
Afritað á klemmuspjald
15\times \frac{1-\frac{1}{\left(1+\frac{1}{50}\right)^{60}}}{0.02}+\frac{100}{1.02^{60}}
Minnka brotið \frac{2}{100} eins mikið og hægt er með því að draga og stytta út 2.
15\times \frac{1-\frac{1}{\left(\frac{51}{50}\right)^{60}}}{0.02}+\frac{100}{1.02^{60}}
Leggðu saman 1 og \frac{1}{50} til að fá \frac{51}{50}.
15\times \frac{1-\frac{1}{\frac{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001}{867361737988403547205962240695953369140625000000000000000000000000000000000000000000000000000000000000}}}{0.02}+\frac{100}{1.02^{60}}
Reiknaðu \frac{51}{50} í 60. veldi og fáðu \frac{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001}{867361737988403547205962240695953369140625000000000000000000000000000000000000000000000000000000000000}.
15\times \frac{1-1\times \frac{867361737988403547205962240695953369140625000000000000000000000000000000000000000000000000000000000000}{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001}}{0.02}+\frac{100}{1.02^{60}}
Deildu 1 með \frac{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001}{867361737988403547205962240695953369140625000000000000000000000000000000000000000000000000000000000000} með því að margfalda 1 með umhverfu \frac{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001}{867361737988403547205962240695953369140625000000000000000000000000000000000000000000000000000000000000}.
15\times \frac{1-\frac{867361737988403547205962240695953369140625000000000000000000000000000000000000000000000000000000000000}{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001}}{0.02}+\frac{100}{1.02^{60}}
Margfaldaðu 1 og \frac{867361737988403547205962240695953369140625000000000000000000000000000000000000000000000000000000000000}{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001} til að fá út \frac{867361737988403547205962240695953369140625000000000000000000000000000000000000000000000000000000000000}{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001}.
15\times \frac{\frac{1978478829001681284014887421399271417711623443981975551367591520910042644875550236275900496649500678001}{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001}}{0.02}+\frac{100}{1.02^{60}}
Dragðu \frac{867361737988403547205962240695953369140625000000000000000000000000000000000000000000000000000000000000}{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001} frá 1 til að fá út \frac{1978478829001681284014887421399271417711623443981975551367591520910042644875550236275900496649500678001}{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001}.
15\times \frac{1978478829001681284014887421399271417711623443981975551367591520910042644875550236275900496649500678001}{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001\times 0.02}+\frac{100}{1.02^{60}}
Sýndu \frac{\frac{1978478829001681284014887421399271417711623443981975551367591520910042644875550236275900496649500678001}{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001}}{0.02} sem eitt brot.
15\times \frac{1978478829001681284014887421399271417711623443981975551367591520910042644875550236275900496649500678001}{56916811339801696624416993241904495737044968879639511027351830418200852897511004725518009932990013560.02}+\frac{100}{1.02^{60}}
Margfaldaðu 2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001 og 0.02 til að fá út 56916811339801696624416993241904495737044968879639511027351830418200852897511004725518009932990013560.02.
15\times \frac{197847882900168128401488742139927141771162344398197555136759152091004264487555023627590049664950067800100}{5691681133980169662441699324190449573704496887963951102735183041820085289751100472551800993299001356002}+\frac{100}{1.02^{60}}
Leystu upp \frac{1978478829001681284014887421399271417711623443981975551367591520910042644875550236275900496649500678001}{56916811339801696624416993241904495737044968879639511027351830418200852897511004725518009932990013560.02} með því að margfalda bæði teljara og nefnara með 100.
15\times \frac{98923941450084064200744371069963570885581172199098777568379576045502132243777511813795024832475033900050}{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001}+\frac{100}{1.02^{60}}
Minnka brotið \frac{197847882900168128401488742139927141771162344398197555136759152091004264487555023627590049664950067800100}{5691681133980169662441699324190449573704496887963951102735183041820085289751100472551800993299001356002} eins mikið og hægt er með því að draga og stytta út 2.
\frac{494619707250420321003721855349817854427905860995493887841897880227510661218887559068975124162375169500250}{948613522330028277073616554031741595617416147993991850455863840303347548291850078758633498883166892667}+\frac{100}{1.02^{60}}
Margfaldaðu 15 og \frac{98923941450084064200744371069963570885581172199098777568379576045502132243777511813795024832475033900050}{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001} til að fá út \frac{494619707250420321003721855349817854427905860995493887841897880227510661218887559068975124162375169500250}{948613522330028277073616554031741595617416147993991850455863840303347548291850078758633498883166892667}.
\frac{494619707250420321003721855349817854427905860995493887841897880227510661218887559068975124162375169500250}{948613522330028277073616554031741595617416147993991850455863840303347548291850078758633498883166892667}+\frac{100}{\frac{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001}{867361737988403547205962240695953369140625000000000000000000000000000000000000000000000000000000000000}}
Reiknaðu 1.02 í 60. veldi og fáðu \frac{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001}{867361737988403547205962240695953369140625000000000000000000000000000000000000000000000000000000000000}.
\frac{494619707250420321003721855349817854427905860995493887841897880227510661218887559068975124162375169500250}{948613522330028277073616554031741595617416147993991850455863840303347548291850078758633498883166892667}+100\times \frac{867361737988403547205962240695953369140625000000000000000000000000000000000000000000000000000000000000}{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001}
Deildu 100 með \frac{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001}{867361737988403547205962240695953369140625000000000000000000000000000000000000000000000000000000000000} með því að margfalda 100 með umhverfu \frac{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001}{867361737988403547205962240695953369140625000000000000000000000000000000000000000000000000000000000000}.
\frac{494619707250420321003721855349817854427905860995493887841897880227510661218887559068975124162375169500250}{948613522330028277073616554031741595617416147993991850455863840303347548291850078758633498883166892667}+\frac{86736173798840354720596224069595336914062500000000000000000000000000000000000000000000000000000000000000}{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001}
Margfaldaðu 100 og \frac{867361737988403547205962240695953369140625000000000000000000000000000000000000000000000000000000000000}{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001} til að fá út \frac{86736173798840354720596224069595336914062500000000000000000000000000000000000000000000000000000000000000}{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001}.
\frac{1570595295550101317731761790119048900197780082986481663525693640682531983656662677206925372487125508500750}{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001}
Leggðu saman \frac{494619707250420321003721855349817854427905860995493887841897880227510661218887559068975124162375169500250}{948613522330028277073616554031741595617416147993991850455863840303347548291850078758633498883166892667} og \frac{86736173798840354720596224069595336914062500000000000000000000000000000000000000000000000000000000000000}{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001} til að fá \frac{1570595295550101317731761790119048900197780082986481663525693640682531983656662677206925372487125508500750}{2845840566990084831220849662095224786852248443981975551367591520910042644875550236275900496649500678001}.
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