Whakaoti i te 3-11/12div24/21

$$3 - \frac { 11 } { 12 } \div 2 \frac { 4 } { 21 }$$

Aromātai

$$\frac{475}{184}\approx 2.581521739$$

Ngā Upane Otinga

Whakawehe \frac{11}{12} ki te \frac{2\times 21+4}{21} mā te whakarea \frac{11}{12} ki te tau huripoki o \frac{2\times 21+4}{21}.

$$3-\frac{11\times 21}{12\left(2\times 21+4\right)}$$

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

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

Whakareatia te 7 ki te 11, ka 77.

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

Whakareatia te 2 ki te 21, ka 42.

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

Tāpirihia te 4 ki te 42, ka 46.

$$3-\frac{77}{4\times 46}$$

Whakareatia te 4 ki te 46, ka 184.

$$3-\frac{77}{184}$$

Me tahuri te 3 ki te hautau \frac{552}{184}.

$$\frac{552}{184}-\frac{77}{184}$$

Tā te mea he rite te tauraro o \frac{552}{184} me \frac{77}{184}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{552-77}{184}$$

Tangohia te 77 i te 552, ka 475.

$$\frac{475}{184}$$

Tauwehe

$$\frac{5 ^ {2} \cdot 19}{2 ^ {3} \cdot 23} = 2\frac{107}{184} = 2.5815217391304346$$