Whakaoti i te 11/8+53/20+65/10

$$1 \frac { 1 } { 8 } + 5 \frac { 3 } { 20 } + 6 \frac { 5 } { 10 }$$

Aromātai

$$\frac{511}{40}=12.775$$

Ngā Upane Otinga

Whakareatia te 1 ki te 8, ka 8.

$$\frac{8+1}{8}+\frac{5\times 20+3}{20}+\frac{6\times 10+5}{10}$$

Tāpirihia te 8 ki te 1, ka 9.

$$\frac{9}{8}+\frac{5\times 20+3}{20}+\frac{6\times 10+5}{10}$$

Whakareatia te 5 ki te 20, ka 100.

$$\frac{9}{8}+\frac{100+3}{20}+\frac{6\times 10+5}{10}$$

Tāpirihia te 100 ki te 3, ka 103.

$$\frac{9}{8}+\frac{103}{20}+\frac{6\times 10+5}{10}$$

Ko te maha noa iti rawa atu o 8 me 20 ko 40. Me tahuri \frac{9}{8} me \frac{103}{20} ki te hautau me te tautūnga 40.

$$\frac{45}{40}+\frac{206}{40}+\frac{6\times 10+5}{10}$$

Tā te mea he rite te tauraro o \frac{45}{40} me \frac{206}{40}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{45+206}{40}+\frac{6\times 10+5}{10}$$

Tāpirihia te 45 ki te 206, ka 251.

$$\frac{251}{40}+\frac{6\times 10+5}{10}$$

Whakareatia te 6 ki te 10, ka 60.

$$\frac{251}{40}+\frac{60+5}{10}$$

Tāpirihia te 60 ki te 5, ka 65.

$$\frac{251}{40}+\frac{65}{10}$$

Whakahekea te hautanga \frac{65}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{251}{40}+\frac{13}{2}$$

Ko te maha noa iti rawa atu o 40 me 2 ko 40. Me tahuri \frac{251}{40} me \frac{13}{2} ki te hautau me te tautūnga 40.

$$\frac{251}{40}+\frac{260}{40}$$

Tā te mea he rite te tauraro o \frac{251}{40} me \frac{260}{40}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{251+260}{40}$$

Tāpirihia te 251 ki te 260, ka 511.

$$\frac{511}{40}$$

Tauwehe

$$\frac{7 \cdot 73}{2 ^ {3} \cdot 5} = 12\frac{31}{40} = 12.775$$