Whakaoti i te |69|=49625k1+575/12

$$| 69 | = 49625 k 1 + 575 / 12$$

Whakaoti mō k_1

$$k_{1}=\frac{253}{595500}\approx 0.000424853$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Ko te uara pū o tētahi tau tūturu a ko a ina a\geq 0, ko -a rānei ina a<0. Ko te uara pū o 69 ko 69.

$$69=49625k_{1}+\frac{575}{12}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$49625k_{1}+\frac{575}{12}=69$$

Tangohia te \frac{575}{12} mai i ngā taha e rua.

$$49625k_{1}=69-\frac{575}{12}$$

Me tahuri te 69 ki te hautau \frac{828}{12}.

$$49625k_{1}=\frac{828}{12}-\frac{575}{12}$$

Tā te mea he rite te tauraro o \frac{828}{12} me \frac{575}{12}, me tango rāua mā te tango i ō raua taurunga.

$$49625k_{1}=\frac{828-575}{12}$$

Tangohia te 575 i te 828, ka 253.

$$49625k_{1}=\frac{253}{12}$$

Whakawehea ngā taha e rua ki te 49625.

$$k_{1}=\frac{\frac{253}{12}}{49625}$$

Tuhia te \frac{\frac{253}{12}}{49625} hei hautanga kotahi.

$$k_{1}=\frac{253}{12\times 49625}$$

Whakareatia te 12 ki te 49625, ka 595500.

$$k_{1}=\frac{253}{595500}$$