Whakaoti i te 11/14-11/14*2/9

$$1 \frac{ 1 }{ 14 } -1 \frac{ 1 }{ 14 } \times \frac{ 2 }{ 9 }$$

Aromātai

$$\frac{5}{6}\approx 0.833333333$$

Ngā Upane Otinga

Whakareatia te 1 ki te 14, ka 14.

$$\frac{14+1}{14}-\frac{1\times 14+1}{14}\times \frac{2}{9}$$

Tāpirihia te 14 ki te 1, ka 15.

$$\frac{15}{14}-\frac{1\times 14+1}{14}\times \frac{2}{9}$$

Whakareatia te 1 ki te 14, ka 14.

$$\frac{15}{14}-\frac{14+1}{14}\times \frac{2}{9}$$

Tāpirihia te 14 ki te 1, ka 15.

$$\frac{15}{14}-\frac{15}{14}\times \frac{2}{9}$$

Me whakarea te \frac{15}{14} ki te \frac{2}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{15}{14}-\frac{15\times 2}{14\times 9}$$

Mahia ngā whakarea i roto i te hautanga \frac{15\times 2}{14\times 9}.

$$\frac{15}{14}-\frac{30}{126}$$

Whakahekea te hautanga \frac{30}{126} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{15}{14}-\frac{5}{21}$$

Ko te maha noa iti rawa atu o 14 me 21 ko 42. Me tahuri \frac{15}{14} me \frac{5}{21} ki te hautau me te tautūnga 42.

$$\frac{45}{42}-\frac{10}{42}$$

Tā te mea he rite te tauraro o \frac{45}{42} me \frac{10}{42}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{45-10}{42}$$

Tangohia te 10 i te 45, ka 35.

$$\frac{35}{42}$$

Whakahekea te hautanga \frac{35}{42} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{5}{6}$$

Tauwehe

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$