Whakaoti i te 21/3div11/6*31/4div11/3

$$2 \frac { 1 } { 3 } \div 1 \frac { 1 } { 6 } \times 3 \frac { 1 } { 4 } \div 1 \frac { 1 } { 3 }$$

Aromātai

$$\frac{39}{8}=4.875$$

Ngā Upane Otinga

Whakawehe \frac{2\times 3+1}{3} ki te \frac{1\times 6+1}{6} mā te whakarea \frac{2\times 3+1}{3} ki te tau huripoki o \frac{1\times 6+1}{6}.

$$\frac{\frac{\left(2\times 3+1\right)\times 6}{3\left(1\times 6+1\right)}\times \frac{3\times 4+1}{4}}{\frac{1\times 3+1}{3}}$$

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

$$\frac{\frac{2\left(1+2\times 3\right)}{1+6}\times \frac{3\times 4+1}{4}}{\frac{1\times 3+1}{3}}$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{\frac{2\left(1+6\right)}{1+6}\times \frac{3\times 4+1}{4}}{\frac{1\times 3+1}{3}}$$

Tāpirihia te 1 ki te 6, ka 7.

$$\frac{\frac{2\times 7}{1+6}\times \frac{3\times 4+1}{4}}{\frac{1\times 3+1}{3}}$$

Whakareatia te 2 ki te 7, ka 14.

$$\frac{\frac{14}{1+6}\times \frac{3\times 4+1}{4}}{\frac{1\times 3+1}{3}}$$

Tāpirihia te 1 ki te 6, ka 7.

$$\frac{\frac{14}{7}\times \frac{3\times 4+1}{4}}{\frac{1\times 3+1}{3}}$$

Whakawehea te 14 ki te 7, kia riro ko 2.

$$\frac{2\times \frac{3\times 4+1}{4}}{\frac{1\times 3+1}{3}}$$

Whakareatia te 3 ki te 4, ka 12.

$$\frac{2\times \frac{12+1}{4}}{\frac{1\times 3+1}{3}}$$

Tāpirihia te 12 ki te 1, ka 13.

$$\frac{2\times \frac{13}{4}}{\frac{1\times 3+1}{3}}$$

Tuhia te 2\times \frac{13}{4} hei hautanga kotahi.

$$\frac{\frac{2\times 13}{4}}{\frac{1\times 3+1}{3}}$$

Whakareatia te 2 ki te 13, ka 26.

$$\frac{\frac{26}{4}}{\frac{1\times 3+1}{3}}$$

Whakahekea te hautanga \frac{26}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{13}{2}}{\frac{1\times 3+1}{3}}$$

Whakareatia te 1 ki te 3, ka 3.

$$\frac{\frac{13}{2}}{\frac{3+1}{3}}$$

Tāpirihia te 3 ki te 1, ka 4.

$$\frac{\frac{13}{2}}{\frac{4}{3}}$$

Whakawehe \frac{13}{2} ki te \frac{4}{3} mā te whakarea \frac{13}{2} ki te tau huripoki o \frac{4}{3}.

$$\frac{13}{2}\times \frac{3}{4}$$

Me whakarea te \frac{13}{2} ki te \frac{3}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{13\times 3}{2\times 4}$$

Mahia ngā whakarea i roto i te hautanga \frac{13\times 3}{2\times 4}.

$$\frac{39}{8}$$

Tauwehe

$$\frac{3 \cdot 13}{2 ^ {3}} = 4\frac{7}{8} = 4.875$$