Whakaoti i te 15/12+24/5+1/4

$$1 \frac { 5 } { 12 } + 2 \frac { 4 } { 5 } + \frac { 1 } { 4 }$$

Aromātai

$$\frac{67}{15}\approx 4.466666667$$

Ngā Upane Otinga

Whakareatia te 1 ki te 12, ka 12.

$$\frac{12+5}{12}+\frac{2\times 5+4}{5}+\frac{1}{4}$$

Tāpirihia te 12 ki te 5, ka 17.

$$\frac{17}{12}+\frac{2\times 5+4}{5}+\frac{1}{4}$$

Whakareatia te 2 ki te 5, ka 10.

$$\frac{17}{12}+\frac{10+4}{5}+\frac{1}{4}$$

Tāpirihia te 10 ki te 4, ka 14.

$$\frac{17}{12}+\frac{14}{5}+\frac{1}{4}$$

Ko te maha noa iti rawa atu o 12 me 5 ko 60. Me tahuri \frac{17}{12} me \frac{14}{5} ki te hautau me te tautūnga 60.

$$\frac{85}{60}+\frac{168}{60}+\frac{1}{4}$$

Tā te mea he rite te tauraro o \frac{85}{60} me \frac{168}{60}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{85+168}{60}+\frac{1}{4}$$

Tāpirihia te 85 ki te 168, ka 253.

$$\frac{253}{60}+\frac{1}{4}$$

Ko te maha noa iti rawa atu o 60 me 4 ko 60. Me tahuri \frac{253}{60} me \frac{1}{4} ki te hautau me te tautūnga 60.

$$\frac{253}{60}+\frac{15}{60}$$

Tā te mea he rite te tauraro o \frac{253}{60} me \frac{15}{60}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{253+15}{60}$$

Tāpirihia te 253 ki te 15, ka 268.

$$\frac{268}{60}$$

Whakahekea te hautanga \frac{268}{60} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{67}{15}$$

Tauwehe

$$\frac{67}{3 \cdot 5} = 4\frac{7}{15} = 4.466666666666667$$