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

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

Enrhifo

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

Camau Ateb

Cyfrifo 102 i bŵer 5 a chael 11040808032.

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

Troswch y rhif degol 1 i’r ffracsiwn \frac{11040808032}{11040808032}.

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

Gan fod gan \frac{11040808032}{11040808032} a \frac{1}{11040808032} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

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

Tynnu 1 o 11040808032 i gael 11040808031.

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

Mynegwch 50\times \frac{11040808031}{11040808032} fel ffracsiwn unigol.

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

Lluosi 50 a 11040808031 i gael 552040401550.

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

Lleihau'r ffracsiwn \frac{552040401550}{11040808032} i'r graddau lleiaf posib drwy dynnu a chanslo allan 2.

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

Cyfrifo 102 i bŵer 5 a chael 11040808032.

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

Lleihau'r ffracsiwn \frac{100}{11040808032} i'r graddau lleiaf posib drwy dynnu a chanslo allan 4.

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

Lluosrif lleiaf cyffredin 5520404016 a 2760202008 yw 5520404016. Troswch \frac{276020200775}{5520404016} a \frac{25}{2760202008} yn ffracsiynau gyda’r enwadur 5520404016.

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

Gan fod gan \frac{276020200775}{5520404016} a \frac{50}{5520404016} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

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

Adio 276020200775 a 50 i gael 276020200825.

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

Ffactor

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