Whakaoti i te 3-11/12div21/21

$$3 - \frac { 11 } { 12 } \div 2 \frac { 1 } { 21 }$$

Aromātai

$$\frac{439}{172}\approx 2.552325581$$

Ngā Upane Otinga

Whakawehe \frac{11}{12} ki te \frac{2\times 21+1}{21} mā te whakarea \frac{11}{12} ki te tau huripoki o \frac{2\times 21+1}{21}.

$$3-\frac{11\times 21}{12\left(2\times 21+1\right)}$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$3-\frac{7\times 11}{4\left(1+2\times 21\right)}$$

Whakareatia te 7 ki te 11, ka 77.

$$3-\frac{77}{4\left(1+2\times 21\right)}$$

Whakareatia te 2 ki te 21, ka 42.

$$3-\frac{77}{4\left(1+42\right)}$$

Tāpirihia te 1 ki te 42, ka 43.

$$3-\frac{77}{4\times 43}$$

Whakareatia te 4 ki te 43, ka 172.

$$3-\frac{77}{172}$$

Me tahuri te 3 ki te hautau \frac{516}{172}.

$$\frac{516}{172}-\frac{77}{172}$$

Tā te mea he rite te tauraro o \frac{516}{172} me \frac{77}{172}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{516-77}{172}$$

Tangohia te 77 i te 516, ka 439.

$$\frac{439}{172}$$

Tauwehe

$$\frac{439}{2 ^ {2} \cdot 43} = 2\frac{95}{172} = 2.552325581395349$$