Whakaoti i te 1-05/1-90frac{1{5}}=1+05/1-frac{1{2}}

$$\frac { 1 - 05 } { 1 - 90 \frac { 1 } { 5 } } = \frac { 1 + 05 } { 1 - \frac { 1 } { 2 } }$$

Manatoko

Ngā Upane Otinga

Whakareatia te 0 ki te 5, ka 0.

$$\frac{1-0}{1-\frac{90\times 5+1}{5}}=\frac{1+0\times 5}{1-\frac{1}{2}}$$

Tangohia te 0 i te 1, ka 1.

$$\frac{1}{1-\frac{90\times 5+1}{5}}=\frac{1+0\times 5}{1-\frac{1}{2}}$$

Whakareatia te 90 ki te 5, ka 450.

$$\frac{1}{1-\frac{450+1}{5}}=\frac{1+0\times 5}{1-\frac{1}{2}}$$

Tāpirihia te 450 ki te 1, ka 451.

$$\frac{1}{1-\frac{451}{5}}=\frac{1+0\times 5}{1-\frac{1}{2}}$$

Me tahuri te 1 ki te hautau \frac{5}{5}.

$$\frac{1}{\frac{5}{5}-\frac{451}{5}}=\frac{1+0\times 5}{1-\frac{1}{2}}$$

Tā te mea he rite te tauraro o \frac{5}{5} me \frac{451}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{\frac{5-451}{5}}=\frac{1+0\times 5}{1-\frac{1}{2}}$$

Tangohia te 451 i te 5, ka -446.

$$\frac{1}{-\frac{446}{5}}=\frac{1+0\times 5}{1-\frac{1}{2}}$$

Whakawehe 1 ki te -\frac{446}{5} mā te whakarea 1 ki te tau huripoki o -\frac{446}{5}.

$$1\left(-\frac{5}{446}\right)=\frac{1+0\times 5}{1-\frac{1}{2}}$$

Whakareatia te 1 ki te -\frac{5}{446}, ka -\frac{5}{446}.

$$-\frac{5}{446}=\frac{1+0\times 5}{1-\frac{1}{2}}$$

Whakareatia te 0 ki te 5, ka 0.

$$-\frac{5}{446}=\frac{1+0}{1-\frac{1}{2}}$$

Tāpirihia te 1 ki te 0, ka 1.

$$-\frac{5}{446}=\frac{1}{1-\frac{1}{2}}$$

Me tahuri te 1 ki te hautau \frac{2}{2}.

$$-\frac{5}{446}=\frac{1}{\frac{2}{2}-\frac{1}{2}}$$

Tā te mea he rite te tauraro o \frac{2}{2} me \frac{1}{2}, me tango rāua mā te tango i ō raua taurunga.

$$-\frac{5}{446}=\frac{1}{\frac{2-1}{2}}$$

Tangohia te 1 i te 2, ka 1.

$$-\frac{5}{446}=\frac{1}{\frac{1}{2}}$$

Whakawehe 1 ki te \frac{1}{2} mā te whakarea 1 ki te tau huripoki o \frac{1}{2}.

$$-\frac{5}{446}=1\times 2$$

Whakareatia te 1 ki te 2, ka 2.

$$-\frac{5}{446}=2$$

Me tahuri te 2 ki te hautau \frac{892}{446}.

$$-\frac{5}{446}=\frac{892}{446}$$

Whakatauritea te -\frac{5}{446} me te \frac{892}{446}.

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