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

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

Arvuta

$$\frac{276020200825}{5520404016}\approx 50,000000005$$

Lahenduse etapid

Arvutage 5 aste 102 ja leidke 11040808032.

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

Teisendage 1 murdarvuks \frac{11040808032}{11040808032}.

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

Kuna murdudel \frac{11040808032}{11040808032} ja \frac{1}{11040808032} on sama nimetaja, lahutage nende lugejad.

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

Lahutage 1 väärtusest 11040808032, et leida 11040808031.

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

Avaldage 50\times \frac{11040808031}{11040808032} ühe murdarvuna.

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

Korrutage 50 ja 11040808031, et leida 552040401550.

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

Taandage murd \frac{552040401550}{11040808032} vähimale ühiskordsele, eraldades ja taandades arvu 2.

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

Arvutage 5 aste 102 ja leidke 11040808032.

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

Taandage murd \frac{100}{11040808032} vähimale ühiskordsele, eraldades ja taandades arvu 4.

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

5520404016 ja 2760202008 vähim ühiskordne on 5520404016. Teisendage \frac{276020200775}{5520404016} ja \frac{25}{2760202008} murdarvudeks, mille nimetaja on 5520404016.

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

Kuna murdudel \frac{276020200775}{5520404016} ja \frac{50}{5520404016} on sama nimetaja, liitke nende lugejad.

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

Liitke 276020200775 ja 50, et leida 276020200825.

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

Lahuta teguriteks

$$\frac{5 ^ {2} \cdot 61 \cdot 103 \cdot 251 \cdot 7001}{2 ^ {4} \cdot 3 ^ {5} \cdot 17 ^ {5}} = 50\frac{25}{5520404016} = 50,00000000452865$$