Whakaoti i te 37/12-5/8+1/6

$$3 \frac { 7 } { 12 } - \frac{ 5 }{ 8 } + \frac{ 1 }{ 6 }$$

Aromātai

$$\frac{25}{8}=3.125$$

Ngā Upane Otinga

Whakareatia te 3 ki te 12, ka 36.

$$\frac{36+7}{12}-\frac{5}{8}+\frac{1}{6}$$

Tāpirihia te 36 ki te 7, ka 43.

$$\frac{43}{12}-\frac{5}{8}+\frac{1}{6}$$

Ko te maha noa iti rawa atu o 12 me 8 ko 24. Me tahuri \frac{43}{12} me \frac{5}{8} ki te hautau me te tautūnga 24.

$$\frac{86}{24}-\frac{15}{24}+\frac{1}{6}$$

Tā te mea he rite te tauraro o \frac{86}{24} me \frac{15}{24}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{86-15}{24}+\frac{1}{6}$$

Tangohia te 15 i te 86, ka 71.

$$\frac{71}{24}+\frac{1}{6}$$

Ko te maha noa iti rawa atu o 24 me 6 ko 24. Me tahuri \frac{71}{24} me \frac{1}{6} ki te hautau me te tautūnga 24.

$$\frac{71}{24}+\frac{4}{24}$$

Tā te mea he rite te tauraro o \frac{71}{24} me \frac{4}{24}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{71+4}{24}$$

Tāpirihia te 71 ki te 4, ka 75.

$$\frac{75}{24}$$

Whakahekea te hautanga \frac{75}{24} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{25}{8}$$

Tauwehe

$$\frac{5 ^ {2}}{2 ^ {3}} = 3\frac{1}{8} = 3.125$$