Whakaoti i te 1/12+1/4+1+1/128

$$\frac { 1 } { 12 } + \frac { 1 } { 4 } + 1 + \frac { 1 } { 128 }$$

Aromātai

$$\frac{515}{384}\approx 1.341145833$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 12 me 4 ko 12. Me tahuri \frac{1}{12} me \frac{1}{4} ki te hautau me te tautūnga 12.

$$\frac{1}{12}+\frac{3}{12}+1+\frac{1}{128}$$

Tā te mea he rite te tauraro o \frac{1}{12} me \frac{3}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1+3}{12}+1+\frac{1}{128}$$

Tāpirihia te 1 ki te 3, ka 4.

$$\frac{4}{12}+1+\frac{1}{128}$$

Whakahekea te hautanga \frac{4}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{1}{3}+1+\frac{1}{128}$$

Me tahuri te 1 ki te hautau \frac{3}{3}.

$$\frac{1}{3}+\frac{3}{3}+\frac{1}{128}$$

Tā te mea he rite te tauraro o \frac{1}{3} me \frac{3}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1+3}{3}+\frac{1}{128}$$

Tāpirihia te 1 ki te 3, ka 4.

$$\frac{4}{3}+\frac{1}{128}$$

Ko te maha noa iti rawa atu o 3 me 128 ko 384. Me tahuri \frac{4}{3} me \frac{1}{128} ki te hautau me te tautūnga 384.

$$\frac{512}{384}+\frac{3}{384}$$

Tā te mea he rite te tauraro o \frac{512}{384} me \frac{3}{384}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{512+3}{384}$$

Tāpirihia te 512 ki te 3, ka 515.

$$\frac{515}{384}$$

Tauwehe

$$\frac{5 \cdot 103}{2 ^ {7} \cdot 3} = 1\frac{131}{384} = 1.3411458333333333$$