Whakaoti i te 1-1/21+1/2*1/2^2

$$1 - \frac { 1 } { 21 } + \frac { 1 } { 2 } \times \frac { 1 } { 2 ^ { 2 } }$$

Aromātai

$$\frac{181}{168}\approx 1.077380952$$

Ngā Upane Otinga

Me tahuri te 1 ki te hautau \frac{21}{21}.

$$\frac{21}{21}-\frac{1}{21}+\frac{1}{2}\times \frac{1}{2^{2}}$$

Tā te mea he rite te tauraro o \frac{21}{21} me \frac{1}{21}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{21-1}{21}+\frac{1}{2}\times \frac{1}{2^{2}}$$

Tangohia te 1 i te 21, ka 20.

$$\frac{20}{21}+\frac{1}{2}\times \frac{1}{2^{2}}$$

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

$$\frac{20}{21}+\frac{1}{2}\times \frac{1}{4}$$

Me whakarea te \frac{1}{2} ki te \frac{1}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{20}{21}+\frac{1\times 1}{2\times 4}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 1}{2\times 4}.

$$\frac{20}{21}+\frac{1}{8}$$

Ko te maha noa iti rawa atu o 21 me 8 ko 168. Me tahuri \frac{20}{21} me \frac{1}{8} ki te hautau me te tautūnga 168.

$$\frac{160}{168}+\frac{21}{168}$$

Tā te mea he rite te tauraro o \frac{160}{168} me \frac{21}{168}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{160+21}{168}$$

Tāpirihia te 160 ki te 21, ka 181.

$$\frac{181}{168}$$

Tauwehe

$$\frac{181}{2 ^ {3} \cdot 3 \cdot 7} = 1\frac{13}{168} = 1.0773809523809523$$