Whakaoti i te 321/4div11/6*11/6

$$32 \frac { 1 } { 4 } \div 1 \frac { 1 } { 6 } \times 1 \frac { 1 } { 6 }$$

Aromātai

$$\frac{129}{4}=32.25$$

Ngā Upane Otinga

Whakawehe \frac{32\times 4+1}{4} ki te \frac{1\times 6+1}{6} mā te whakarea \frac{32\times 4+1}{4} ki te tau huripoki o \frac{1\times 6+1}{6}.

$$\frac{\left(32\times 4+1\right)\times 6}{4\left(1\times 6+1\right)}\times \frac{1\times 6+1}{6}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$\frac{3\left(1+4\times 32\right)}{2\left(1+6\right)}\times \frac{1\times 6+1}{6}$$

Whakareatia te 4 ki te 32, ka 128.

$$\frac{3\left(1+128\right)}{2\left(1+6\right)}\times \frac{1\times 6+1}{6}$$

Tāpirihia te 1 ki te 128, ka 129.

$$\frac{3\times 129}{2\left(1+6\right)}\times \frac{1\times 6+1}{6}$$

Whakareatia te 3 ki te 129, ka 387.

$$\frac{387}{2\left(1+6\right)}\times \frac{1\times 6+1}{6}$$

Tāpirihia te 1 ki te 6, ka 7.

$$\frac{387}{2\times 7}\times \frac{1\times 6+1}{6}$$

Whakareatia te 2 ki te 7, ka 14.

$$\frac{387}{14}\times \frac{1\times 6+1}{6}$$

Whakareatia te 1 ki te 6, ka 6.

$$\frac{387}{14}\times \frac{6+1}{6}$$

Tāpirihia te 6 ki te 1, ka 7.

$$\frac{387}{14}\times \frac{7}{6}$$

Me whakarea te \frac{387}{14} ki te \frac{7}{6} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{387\times 7}{14\times 6}$$

Mahia ngā whakarea i roto i te hautanga \frac{387\times 7}{14\times 6}.

$$\frac{2709}{84}$$

Whakahekea te hautanga \frac{2709}{84} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 21.

$$\frac{129}{4}$$

Tauwehe

$$\frac{3 \cdot 43}{2 ^ {2}} = 32\frac{1}{4} = 32.25$$