Whakaoti i te 075*21/7+3/4*73/7+75*1/7

$$075 \times 2 \frac{ 1 }{ 7 } + \frac{ 3 }{ 4 } \times 7 \frac{ 3 }{ 7 } +75 \times \frac{ 1 }{ 7 }$$

Aromātai

$$\frac{114}{7}\approx 16.285714286$$

Ngā Upane Otinga

Whakareatia te 0 ki te 75, ka 0.

$$0\times \frac{2\times 7+1}{7}+\frac{3}{4}\times \frac{7\times 7+3}{7}+75\times \frac{1}{7}$$

Whakareatia te 2 ki te 7, ka 14.

$$0\times \frac{14+1}{7}+\frac{3}{4}\times \frac{7\times 7+3}{7}+75\times \frac{1}{7}$$

Tāpirihia te 14 ki te 1, ka 15.

$$0\times \frac{15}{7}+\frac{3}{4}\times \frac{7\times 7+3}{7}+75\times \frac{1}{7}$$

Whakareatia te 0 ki te \frac{15}{7}, ka 0.

$$0+\frac{3}{4}\times \frac{7\times 7+3}{7}+75\times \frac{1}{7}$$

Whakareatia te 7 ki te 7, ka 49.

$$0+\frac{3}{4}\times \frac{49+3}{7}+75\times \frac{1}{7}$$

Tāpirihia te 49 ki te 3, ka 52.

$$0+\frac{3}{4}\times \frac{52}{7}+75\times \frac{1}{7}$$

Me whakarea te \frac{3}{4} ki te \frac{52}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$0+\frac{3\times 52}{4\times 7}+75\times \frac{1}{7}$$

Mahia ngā whakarea i roto i te hautanga \frac{3\times 52}{4\times 7}.

$$0+\frac{156}{28}+75\times \frac{1}{7}$$

Whakahekea te hautanga \frac{156}{28} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$0+\frac{39}{7}+75\times \frac{1}{7}$$

Tāpirihia te 0 ki te \frac{39}{7}, ka \frac{39}{7}.

$$\frac{39}{7}+75\times \frac{1}{7}$$

Whakareatia te 75 ki te \frac{1}{7}, ka \frac{75}{7}.

$$\frac{39}{7}+\frac{75}{7}$$

Tā te mea he rite te tauraro o \frac{39}{7} me \frac{75}{7}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{39+75}{7}$$

Tāpirihia te 39 ki te 75, ka 114.

$$\frac{114}{7}$$

Tauwehe

$$\frac{2 \cdot 3 \cdot 19}{7} = 16\frac{2}{7} = 16.285714285714285$$