Whakaoti i te 1*30/6+2*16/21+3*10/6+4*1/16

$$1 \times \frac { 30 } { 6 } + 2 \times \frac { 16 } { 21 } + 3 \times \frac { 10 } { 6 } + 4 \times \frac { 1 } { 16 }$$

Aromātai

$$\frac{989}{84}\approx 11.773809524$$

Ngā Upane Otinga

Whakawehea te 30 ki te 6, kia riro ko 5.

$$1\times 5+2\times \frac{16}{21}+3\times \frac{10}{6}+4\times \frac{1}{16}$$

Whakareatia te 1 ki te 5, ka 5.

$$5+2\times \frac{16}{21}+3\times \frac{10}{6}+4\times \frac{1}{16}$$

Tuhia te 2\times \frac{16}{21} hei hautanga kotahi.

$$5+\frac{2\times 16}{21}+3\times \frac{10}{6}+4\times \frac{1}{16}$$

Whakareatia te 2 ki te 16, ka 32.

$$5+\frac{32}{21}+3\times \frac{10}{6}+4\times \frac{1}{16}$$

Me tahuri te 5 ki te hautau \frac{105}{21}.

$$\frac{105}{21}+\frac{32}{21}+3\times \frac{10}{6}+4\times \frac{1}{16}$$

Tā te mea he rite te tauraro o \frac{105}{21} me \frac{32}{21}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{105+32}{21}+3\times \frac{10}{6}+4\times \frac{1}{16}$$

Tāpirihia te 105 ki te 32, ka 137.

$$\frac{137}{21}+3\times \frac{10}{6}+4\times \frac{1}{16}$$

Whakahekea te hautanga \frac{10}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{137}{21}+3\times \frac{5}{3}+4\times \frac{1}{16}$$

Me whakakore te 3 me te 3.

$$\frac{137}{21}+5+4\times \frac{1}{16}$$

Me tahuri te 5 ki te hautau \frac{105}{21}.

$$\frac{137}{21}+\frac{105}{21}+4\times \frac{1}{16}$$

Tā te mea he rite te tauraro o \frac{137}{21} me \frac{105}{21}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{137+105}{21}+4\times \frac{1}{16}$$

Tāpirihia te 137 ki te 105, ka 242.

$$\frac{242}{21}+4\times \frac{1}{16}$$

Whakareatia te 4 ki te \frac{1}{16}, ka \frac{4}{16}.

$$\frac{242}{21}+\frac{4}{16}$$

Whakahekea te hautanga \frac{4}{16} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{242}{21}+\frac{1}{4}$$

Ko te maha noa iti rawa atu o 21 me 4 ko 84. Me tahuri \frac{242}{21} me \frac{1}{4} ki te hautau me te tautūnga 84.

$$\frac{968}{84}+\frac{21}{84}$$

Tā te mea he rite te tauraro o \frac{968}{84} me \frac{21}{84}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{968+21}{84}$$

Tāpirihia te 968 ki te 21, ka 989.

$$\frac{989}{84}$$

Tauwehe

$$\frac{23 \cdot 43}{2 ^ {2} \cdot 3 \cdot 7} = 11\frac{65}{84} = 11.773809523809524$$