Whakaoti i te 11/8+36/10=

$$1 \frac { 1 } { 8 } + 3 \frac { 6 } { 10 } =$$

Aromātai

$$\frac{189}{40}=4.725$$

Ngā Upane Otinga

Whakareatia te 1 ki te 8, ka 8.

$$\frac{8+1}{8}+\frac{3\times 10+6}{10}$$

Tāpirihia te 8 ki te 1, ka 9.

$$\frac{9}{8}+\frac{3\times 10+6}{10}$$

Whakareatia te 3 ki te 10, ka 30.

$$\frac{9}{8}+\frac{30+6}{10}$$

Tāpirihia te 30 ki te 6, ka 36.

$$\frac{9}{8}+\frac{36}{10}$$

Whakahekea te hautanga \frac{36}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{9}{8}+\frac{18}{5}$$

Ko te maha noa iti rawa atu o 8 me 5 ko 40. Me tahuri \frac{9}{8} me \frac{18}{5} ki te hautau me te tautūnga 40.

$$\frac{45}{40}+\frac{144}{40}$$

Tā te mea he rite te tauraro o \frac{45}{40} me \frac{144}{40}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{45+144}{40}$$

Tāpirihia te 45 ki te 144, ka 189.

$$\frac{189}{40}$$

Tauwehe

$$\frac{3 ^ {3} \cdot 7}{2 ^ {3} \cdot 5} = 4\frac{29}{40} = 4.725$$