Whakaoti i te 7164=P[21/20*21/20-1]

$$7164 = P [ \frac { 21 } { 20 } \times \frac { 21 } { 20 } - 1 ]$$

Whakaoti mō P

$$P = \frac{2865600}{41} = 69892\frac{28}{41} \approx 69892.682926829$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea te \frac{21}{20} ki te \frac{21}{20} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$7164=P\left(\frac{21\times 21}{20\times 20}-1\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{21\times 21}{20\times 20}.

$$7164=P\left(\frac{441}{400}-1\right)$$

Me tahuri te 1 ki te hautau \frac{400}{400}.

$$7164=P\left(\frac{441}{400}-\frac{400}{400}\right)$$

Tā te mea he rite te tauraro o \frac{441}{400} me \frac{400}{400}, me tango rāua mā te tango i ō raua taurunga.

$$7164=P\times \frac{441-400}{400}$$

Tangohia te 400 i te 441, ka 41.

$$7164=P\times \frac{41}{400}$$

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

$$P\times \frac{41}{400}=7164$$

Me whakarea ngā taha e rua ki te \frac{400}{41}, te tau utu o \frac{41}{400}.

$$P=7164\times \frac{400}{41}$$

Tuhia te 7164\times \frac{400}{41} hei hautanga kotahi.

$$P=\frac{7164\times 400}{41}$$

Whakareatia te 7164 ki te 400, ka 2865600.

$$P=\frac{2865600}{41}$$