Whakaoti i te 2*(61/4-41/6)*2/5

$$2 \times ( 6 \frac { 1 } { 4 } - 4 \frac { 1 } { 6 } ) \times \frac { 2 } { 5 }$$

Aromātai

$$\frac{5}{3}\approx 1.666666667$$

Ngā Upane Otinga

Whakareatia te 6 ki te 4, ka 24.

$$2\left(\frac{24+1}{4}-\frac{4\times 6+1}{6}\right)\times \frac{2}{5}$$

Tāpirihia te 24 ki te 1, ka 25.

$$2\left(\frac{25}{4}-\frac{4\times 6+1}{6}\right)\times \frac{2}{5}$$

Whakareatia te 4 ki te 6, ka 24.

$$2\left(\frac{25}{4}-\frac{24+1}{6}\right)\times \frac{2}{5}$$

Tāpirihia te 24 ki te 1, ka 25.

$$2\left(\frac{25}{4}-\frac{25}{6}\right)\times \frac{2}{5}$$

Ko te maha noa iti rawa atu o 4 me 6 ko 12. Me tahuri \frac{25}{4} me \frac{25}{6} ki te hautau me te tautūnga 12.

$$2\left(\frac{75}{12}-\frac{50}{12}\right)\times \frac{2}{5}$$

Tā te mea he rite te tauraro o \frac{75}{12} me \frac{50}{12}, me tango rāua mā te tango i ō raua taurunga.

$$2\times \frac{75-50}{12}\times \frac{2}{5}$$

Tangohia te 50 i te 75, ka 25.

$$2\times \frac{25}{12}\times \frac{2}{5}$$

Tuhia te 2\times \frac{25}{12} hei hautanga kotahi.

$$\frac{2\times 25}{12}\times \frac{2}{5}$$

Whakareatia te 2 ki te 25, ka 50.

$$\frac{50}{12}\times \frac{2}{5}$$

Whakahekea te hautanga \frac{50}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{25}{6}\times \frac{2}{5}$$

Me whakarea te \frac{25}{6} ki te \frac{2}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{25\times 2}{6\times 5}$$

Mahia ngā whakarea i roto i te hautanga \frac{25\times 2}{6\times 5}.

$$\frac{50}{30}$$

Whakahekea te hautanga \frac{50}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$\frac{5}{3}$$

Tauwehe

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$