Whakaoti i te (1-10%)(1+2%)

$$( 1 - 10 \% ) ( 1 + 2 \% )$$

Aromātai

$$\frac{459}{500}=0.918$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{10}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$\left(1-\frac{1}{10}\right)\left(1+\frac{2}{100}\right)$$

Me tahuri te 1 ki te hautau \frac{10}{10}.

$$\left(\frac{10}{10}-\frac{1}{10}\right)\left(1+\frac{2}{100}\right)$$

Tā te mea he rite te tauraro o \frac{10}{10} me \frac{1}{10}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{10-1}{10}\left(1+\frac{2}{100}\right)$$

Tangohia te 1 i te 10, ka 9.

$$\frac{9}{10}\left(1+\frac{2}{100}\right)$$

Whakahekea te hautanga \frac{2}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{9}{10}\left(1+\frac{1}{50}\right)$$

Me tahuri te 1 ki te hautau \frac{50}{50}.

$$\frac{9}{10}\left(\frac{50}{50}+\frac{1}{50}\right)$$

Tā te mea he rite te tauraro o \frac{50}{50} me \frac{1}{50}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{9}{10}\times \frac{50+1}{50}$$

Tāpirihia te 50 ki te 1, ka 51.

$$\frac{9}{10}\times \frac{51}{50}$$

Me whakarea te \frac{9}{10} ki te \frac{51}{50} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{9\times 51}{10\times 50}$$

Mahia ngā whakarea i roto i te hautanga \frac{9\times 51}{10\times 50}.

$$\frac{459}{500}$$

Tauwehe

$$\frac{3 ^ {3} \cdot 17}{2 ^ {2} \cdot 5 ^ {3}} = 0.918$$