Whakaoti i te 105/6-71/2+1/4

$$10 \frac { 5 } { 6 } - 7 \frac { 1 } { 2 } + \frac { 1 } { 4 }$$

Aromātai

$$\frac{43}{12}\approx 3.583333333$$

Ngā Upane Otinga

Whakareatia te 10 ki te 6, ka 60.

$$\frac{60+5}{6}-\frac{7\times 2+1}{2}+\frac{1}{4}$$

Tāpirihia te 60 ki te 5, ka 65.

$$\frac{65}{6}-\frac{7\times 2+1}{2}+\frac{1}{4}$$

Whakareatia te 7 ki te 2, ka 14.

$$\frac{65}{6}-\frac{14+1}{2}+\frac{1}{4}$$

Tāpirihia te 14 ki te 1, ka 15.

$$\frac{65}{6}-\frac{15}{2}+\frac{1}{4}$$

Ko te maha noa iti rawa atu o 6 me 2 ko 6. Me tahuri \frac{65}{6} me \frac{15}{2} ki te hautau me te tautūnga 6.

$$\frac{65}{6}-\frac{45}{6}+\frac{1}{4}$$

Tā te mea he rite te tauraro o \frac{65}{6} me \frac{45}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{65-45}{6}+\frac{1}{4}$$

Tangohia te 45 i te 65, ka 20.

$$\frac{20}{6}+\frac{1}{4}$$

Whakahekea te hautanga \frac{20}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{10}{3}+\frac{1}{4}$$

Ko te maha noa iti rawa atu o 3 me 4 ko 12. Me tahuri \frac{10}{3} me \frac{1}{4} ki te hautau me te tautūnga 12.

$$\frac{40}{12}+\frac{3}{12}$$

Tā te mea he rite te tauraro o \frac{40}{12} me \frac{3}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{40+3}{12}$$

Tāpirihia te 40 ki te 3, ka 43.

$$\frac{43}{12}$$

Tauwehe

$$\frac{43}{2 ^ {2} \cdot 3} = 3\frac{7}{12} = 3.5833333333333335$$