Issolvi 100(1-1/101^5)+100/101

$$100 ( 1 - \frac { 1 } { 101 ^ { 5 } } ) + \frac { 100 } { 101 }$$

Evalwa

$$\frac{1061416090100}{10510100501}\approx 100.990099$$

Passi tas-Soluzzjonijiet

Ikkalkula 101 bil-power ta' 5 u tikseb 10510100501.

$$100\left(1-\frac{1}{10510100501}\right)+\frac{100}{101}$$

Ikkonverti 1 fi frazzjoni \frac{10510100501}{10510100501}.

$$100\left(\frac{10510100501}{10510100501}-\frac{1}{10510100501}\right)+\frac{100}{101}$$

Billi \frac{10510100501}{10510100501} u \frac{1}{10510100501} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$100\times \frac{10510100501-1}{10510100501}+\frac{100}{101}$$

Naqqas 1 minn 10510100501 biex tikseb 10510100500.

$$100\times \frac{10510100500}{10510100501}+\frac{100}{101}$$

Esprimi 100\times \frac{10510100500}{10510100501} bħala frazzjoni waħda.

$$\frac{100\times 10510100500}{10510100501}+\frac{100}{101}$$

Immultiplika 100 u 10510100500 biex tikseb 1051010050000.

$$\frac{1051010050000}{10510100501}+\frac{100}{101}$$

L-inqas multipli komuni ta' 10510100501 u 101 huwa 10510100501. Ikkonverti \frac{1051010050000}{10510100501} u \frac{100}{101} fi frazzjonijiet bid-denominatur 10510100501.

$$\frac{1051010050000}{10510100501}+\frac{10406040100}{10510100501}$$

Billi \frac{1051010050000}{10510100501} u \frac{10406040100}{10510100501} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{1051010050000+10406040100}{10510100501}$$

Żid 1051010050000 u 10406040100 biex tikseb 1061416090100.

$$\frac{1061416090100}{10510100501}$$

Fattur

$$\frac{2 ^ {2} \cdot 5 ^ {2} \cdot 2549 \cdot 4164049}{101 ^ {5}} = 100\frac{10406040000}{10510100501} = 100.99009900038634$$