Whakaoti i te 1*20/63+2*10/21+3*10/63+4*1/126

$$1 \times \frac { 20 } { 63 } + 2 \times \frac { 10 } { 21 } + 3 \times \frac { 10 } { 63 } + 4 \times \frac { 1 } { 126 }$$

Aromātai

$$\frac{16}{9}\approx 1.777777778$$

Ngā Upane Otinga

Whakareatia te 1 ki te \frac{20}{63}, ka \frac{20}{63}.

$$\frac{20}{63}+2\times \frac{10}{21}+3\times \frac{10}{63}+4\times \frac{1}{126}$$

Tuhia te 2\times \frac{10}{21} hei hautanga kotahi.

$$\frac{20}{63}+\frac{2\times 10}{21}+3\times \frac{10}{63}+4\times \frac{1}{126}$$

Whakareatia te 2 ki te 10, ka 20.

$$\frac{20}{63}+\frac{20}{21}+3\times \frac{10}{63}+4\times \frac{1}{126}$$

Ko te maha noa iti rawa atu o 63 me 21 ko 63. Me tahuri \frac{20}{63} me \frac{20}{21} ki te hautau me te tautūnga 63.

$$\frac{20}{63}+\frac{60}{63}+3\times \frac{10}{63}+4\times \frac{1}{126}$$

Tā te mea he rite te tauraro o \frac{20}{63} me \frac{60}{63}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{20+60}{63}+3\times \frac{10}{63}+4\times \frac{1}{126}$$

Tāpirihia te 20 ki te 60, ka 80.

$$\frac{80}{63}+3\times \frac{10}{63}+4\times \frac{1}{126}$$

Tuhia te 3\times \frac{10}{63} hei hautanga kotahi.

$$\frac{80}{63}+\frac{3\times 10}{63}+4\times \frac{1}{126}$$

Whakareatia te 3 ki te 10, ka 30.

$$\frac{80}{63}+\frac{30}{63}+4\times \frac{1}{126}$$

Tā te mea he rite te tauraro o \frac{80}{63} me \frac{30}{63}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{80+30}{63}+4\times \frac{1}{126}$$

Tāpirihia te 80 ki te 30, ka 110.

$$\frac{110}{63}+4\times \frac{1}{126}$$

Whakareatia te 4 ki te \frac{1}{126}, ka \frac{4}{126}.

$$\frac{110}{63}+\frac{4}{126}$$

Whakahekea te hautanga \frac{4}{126} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{110}{63}+\frac{2}{63}$$

Tā te mea he rite te tauraro o \frac{110}{63} me \frac{2}{63}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{110+2}{63}$$

Tāpirihia te 110 ki te 2, ka 112.

$$\frac{112}{63}$$

Whakahekea te hautanga \frac{112}{63} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{16}{9}$$

Tauwehe

$$\frac{2 ^ {4}}{3 ^ {2}} = 1\frac{7}{9} = 1.7777777777777777$$