Whakaoti i te 5/2*11div7-1+1/11div7-2

$$\frac{ 5 }{ 2 \times 11 \div 7-1 } + \frac{ 1 }{ 11 \div 7-2 }$$

Aromātai

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Ngā Upane Otinga

Whakareatia te 2 ki te 11, ka 22.

$$\frac{5}{\frac{22}{7}-1}+\frac{1}{\frac{11}{7}-2}$$

Me tahuri te 1 ki te hautau \frac{7}{7}.

$$\frac{5}{\frac{22}{7}-\frac{7}{7}}+\frac{1}{\frac{11}{7}-2}$$

Tā te mea he rite te tauraro o \frac{22}{7} me \frac{7}{7}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{5}{\frac{22-7}{7}}+\frac{1}{\frac{11}{7}-2}$$

Tangohia te 7 i te 22, ka 15.

$$\frac{5}{\frac{15}{7}}+\frac{1}{\frac{11}{7}-2}$$

Whakawehe 5 ki te \frac{15}{7} mā te whakarea 5 ki te tau huripoki o \frac{15}{7}.

$$5\times \frac{7}{15}+\frac{1}{\frac{11}{7}-2}$$

Tuhia te 5\times \frac{7}{15} hei hautanga kotahi.

$$\frac{5\times 7}{15}+\frac{1}{\frac{11}{7}-2}$$

Whakareatia te 5 ki te 7, ka 35.

$$\frac{35}{15}+\frac{1}{\frac{11}{7}-2}$$

Whakahekea te hautanga \frac{35}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{7}{3}+\frac{1}{\frac{11}{7}-2}$$

Me tahuri te 2 ki te hautau \frac{14}{7}.

$$\frac{7}{3}+\frac{1}{\frac{11}{7}-\frac{14}{7}}$$

Tā te mea he rite te tauraro o \frac{11}{7} me \frac{14}{7}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{7}{3}+\frac{1}{\frac{11-14}{7}}$$

Tangohia te 14 i te 11, ka -3.

$$\frac{7}{3}+\frac{1}{-\frac{3}{7}}$$

Whakawehe 1 ki te -\frac{3}{7} mā te whakarea 1 ki te tau huripoki o -\frac{3}{7}.

$$\frac{7}{3}+1\left(-\frac{7}{3}\right)$$

Whakareatia te 1 ki te -\frac{7}{3}, ka -\frac{7}{3}.

$$\frac{7}{3}-\frac{7}{3}$$

Tangohia te \frac{7}{3} i te \frac{7}{3}, ka 0.

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Tauwehe

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