Whakaoti i te 12-1/5*9/4*12/6=11/12

$$12 - \frac { 1 } { 5 } \times \frac { 9 } { 4 } \times \frac { 12 } { 6 } = \frac { 11 } { 12 }$$

Manatoko

Ngā Upane Otinga

Me whakarea te \frac{1}{5} ki te \frac{9}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$12-\frac{1\times 9}{5\times 4}\times \frac{12}{6}=\frac{11}{12}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 9}{5\times 4}.

$$12-\frac{9}{20}\times \frac{12}{6}=\frac{11}{12}$$

Whakawehea te 12 ki te 6, kia riro ko 2.

$$12-\frac{9}{20}\times 2=\frac{11}{12}$$

Tuhia te \frac{9}{20}\times 2 hei hautanga kotahi.

$$12-\frac{9\times 2}{20}=\frac{11}{12}$$

Whakareatia te 9 ki te 2, ka 18.

$$12-\frac{18}{20}=\frac{11}{12}$$

Whakahekea te hautanga \frac{18}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$12-\frac{9}{10}=\frac{11}{12}$$

Me tahuri te 12 ki te hautau \frac{120}{10}.

$$\frac{120}{10}-\frac{9}{10}=\frac{11}{12}$$

Tā te mea he rite te tauraro o \frac{120}{10} me \frac{9}{10}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{120-9}{10}=\frac{11}{12}$$

Tangohia te 9 i te 120, ka 111.

$$\frac{111}{10}=\frac{11}{12}$$

Ko te maha noa iti rawa atu o 10 me 12 ko 60. Me tahuri \frac{111}{10} me \frac{11}{12} ki te hautau me te tautūnga 60.

$$\frac{666}{60}=\frac{55}{60}$$

Whakatauritea te \frac{666}{60} me te \frac{55}{60}.

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