1 \frac { 1 - ( \frac { 1 } { 1 + 1.5 \% } ) ^ { 48 } } { 1.5 \% }
Meta
\frac{19580868478829929827178608705765159792714506652886679631454659376140029853571786172369071165297736981000873237400}{575188003893104947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561}\approx 34.042553646
Spurningakeppni
Arithmetic
5 vandamál svipuð og:
1 \frac { 1 - ( \frac { 1 } { 1 + 1.5 \% } ) ^ { 48 } } { 1.5 \% }
Deila
Afritað á klemmuspjald
1\times \frac{1-\left(\frac{1}{1+\frac{15}{1000}}\right)^{48}}{\frac{1.5}{100}}
Leystu upp \frac{1.5}{100} með því að margfalda bæði teljara og nefnara með 10.
1\times \frac{1-\left(\frac{1}{1+\frac{3}{200}}\right)^{48}}{\frac{1.5}{100}}
Minnka brotið \frac{15}{1000} eins mikið og hægt er með því að draga og stytta út 5.
1\times \frac{1-\left(\frac{1}{\frac{203}{200}}\right)^{48}}{\frac{1.5}{100}}
Leggðu saman 1 og \frac{3}{200} til að fá \frac{203}{200}.
1\times \frac{1-\left(1\times \frac{200}{203}\right)^{48}}{\frac{1.5}{100}}
Deildu 1 með \frac{203}{200} með því að margfalda 1 með umhverfu \frac{203}{200}.
1\times \frac{1-\left(\frac{200}{203}\right)^{48}}{\frac{1.5}{100}}
Margfaldaðu 1 og \frac{200}{203} til að fá út \frac{200}{203}.
1\times \frac{1-\frac{281474976710656000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{575188003893104947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561}}{\frac{1.5}{100}}
Reiknaðu \frac{200}{203} í 48. veldi og fáðu \frac{281474976710656000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{575188003893104947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561}.
1\times \frac{\frac{293713027182448947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561}{575188003893104947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561}}{\frac{1.5}{100}}
Dragðu \frac{281474976710656000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{575188003893104947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561} frá 1 til að fá út \frac{293713027182448947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561}{575188003893104947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561}.
1\times \frac{\frac{293713027182448947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561}{575188003893104947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561}}{\frac{15}{1000}}
Leystu upp \frac{1.5}{100} með því að margfalda bæði teljara og nefnara með 10.
1\times \frac{\frac{293713027182448947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561}{575188003893104947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561}}{\frac{3}{200}}
Minnka brotið \frac{15}{1000} eins mikið og hægt er með því að draga og stytta út 5.
1\times \frac{293713027182448947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561}{575188003893104947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561}\times \frac{200}{3}
Deildu \frac{293713027182448947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561}{575188003893104947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561} með \frac{3}{200} með því að margfalda \frac{293713027182448947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561}{575188003893104947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561} með umhverfu \frac{3}{200}.
1\times \frac{19580868478829929827178608705765159792714506652886679631454659376140029853571786172369071165297736981000873237400}{575188003893104947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561}
Margfaldaðu \frac{293713027182448947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561}{575188003893104947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561} og \frac{200}{3} til að fá út \frac{19580868478829929827178608705765159792714506652886679631454659376140029853571786172369071165297736981000873237400}{575188003893104947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561}.
\frac{19580868478829929827178608705765159792714506652886679631454659376140029853571786172369071165297736981000873237400}{575188003893104947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561}
Margfaldaðu 1 og \frac{19580868478829929827178608705765159792714506652886679631454659376140029853571786172369071165297736981000873237400}{575188003893104947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561} til að fá út \frac{19580868478829929827178608705765159792714506652886679631454659376140029853571786172369071165297736981000873237400}{575188003893104947407679130586477396890717599793300194471819890642100447803576792585536067479466054715013098561}.
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