Issolvi 50(1-1/102^5)+100/102^5

$$50 ( 1 - \frac { 1 } { 102 ^ { 5 } } ) + \frac { 100 } { 102 ^ { 5 } }$$

Evalwa

$$\frac{276020200825}{5520404016}\approx 50.000000005$$

Passi tas-Soluzzjonijiet

Ikkalkula 102 bil-power ta' 5 u tikseb 11040808032.

$$50\left(1-\frac{1}{11040808032}\right)+\frac{100}{102^{5}}$$

Ikkonverti 1 fi frazzjoni \frac{11040808032}{11040808032}.

$$50\left(\frac{11040808032}{11040808032}-\frac{1}{11040808032}\right)+\frac{100}{102^{5}}$$

Billi \frac{11040808032}{11040808032} u \frac{1}{11040808032} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$50\times \frac{11040808032-1}{11040808032}+\frac{100}{102^{5}}$$

Naqqas 1 minn 11040808032 biex tikseb 11040808031.

$$50\times \frac{11040808031}{11040808032}+\frac{100}{102^{5}}$$

Esprimi 50\times \frac{11040808031}{11040808032} bħala frazzjoni waħda.

$$\frac{50\times 11040808031}{11040808032}+\frac{100}{102^{5}}$$

Immultiplika 50 u 11040808031 biex tikseb 552040401550.

$$\frac{552040401550}{11040808032}+\frac{100}{102^{5}}$$

Naqqas il-frazzjoni \frac{552040401550}{11040808032} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{276020200775}{5520404016}+\frac{100}{102^{5}}$$

Ikkalkula 102 bil-power ta' 5 u tikseb 11040808032.

$$\frac{276020200775}{5520404016}+\frac{100}{11040808032}$$

Naqqas il-frazzjoni \frac{100}{11040808032} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$\frac{276020200775}{5520404016}+\frac{25}{2760202008}$$

L-inqas multipli komuni ta' 5520404016 u 2760202008 huwa 5520404016. Ikkonverti \frac{276020200775}{5520404016} u \frac{25}{2760202008} fi frazzjonijiet bid-denominatur 5520404016.

$$\frac{276020200775}{5520404016}+\frac{50}{5520404016}$$

Billi \frac{276020200775}{5520404016} u \frac{50}{5520404016} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{276020200775+50}{5520404016}$$

Żid 276020200775 u 50 biex tikseb 276020200825.

$$\frac{276020200825}{5520404016}$$

Fattur

$$\frac{5 ^ {2} \cdot 61 \cdot 103 \cdot 251 \cdot 7001}{2 ^ {4} \cdot 3 ^ {5} \cdot 17 ^ {5}} = 50\frac{25}{5520404016} = 50.00000000452865$$