Whakaoti i te 1-0.5/1-90frac{1{5}}=1+0.5/1-frac{1{2}}

$$\frac { 1 - 0.5 } { 1 - 90 \frac { 1 } { 5 } } = \frac { 1 + 0.5 } { 1 - \frac { 1 } { 2 } }$$

Manatoko

Ngā Upane Otinga

Tangohia te 0.5 i te 1, ka 0.5.

$$\frac{0.5}{1-\frac{90\times 5+1}{5}}=\frac{1+0.5}{1-\frac{1}{2}}$$

Whakareatia te 90 ki te 5, ka 450.

$$\frac{0.5}{1-\frac{450+1}{5}}=\frac{1+0.5}{1-\frac{1}{2}}$$

Tāpirihia te 450 ki te 1, ka 451.

$$\frac{0.5}{1-\frac{451}{5}}=\frac{1+0.5}{1-\frac{1}{2}}$$

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

$$\frac{0.5}{\frac{5}{5}-\frac{451}{5}}=\frac{1+0.5}{1-\frac{1}{2}}$$

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.

$$\frac{0.5}{\frac{5-451}{5}}=\frac{1+0.5}{1-\frac{1}{2}}$$

Tangohia te 451 i te 5, ka -446.

$$\frac{0.5}{-\frac{446}{5}}=\frac{1+0.5}{1-\frac{1}{2}}$$

Whakawehe 0.5 ki te -\frac{446}{5} mā te whakarea 0.5 ki te tau huripoki o -\frac{446}{5}.

$$0.5\left(-\frac{5}{446}\right)=\frac{1+0.5}{1-\frac{1}{2}}$$

Me tahuri ki tau ā-ira 0.5 ki te hautau \frac{5}{10}. Whakahekea te hautanga \frac{5}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{1}{2}\left(-\frac{5}{446}\right)=\frac{1+0.5}{1-\frac{1}{2}}$$

Me whakarea te \frac{1}{2} ki te -\frac{5}{446} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\left(-5\right)}{2\times 446}=\frac{1+0.5}{1-\frac{1}{2}}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\left(-5\right)}{2\times 446}.

$$\frac{-5}{892}=\frac{1+0.5}{1-\frac{1}{2}}$$

Ka taea te hautanga \frac{-5}{892} te tuhi anō ko -\frac{5}{892} mā te tango i te tohu tōraro.

$$-\frac{5}{892}=\frac{1+0.5}{1-\frac{1}{2}}$$

Tāpirihia te 1 ki te 0.5, ka 1.5.

$$-\frac{5}{892}=\frac{1.5}{1-\frac{1}{2}}$$

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

$$-\frac{5}{892}=\frac{1.5}{\frac{2}{2}-\frac{1}{2}}$$

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.

$$-\frac{5}{892}=\frac{1.5}{\frac{2-1}{2}}$$

Tangohia te 1 i te 2, ka 1.

$$-\frac{5}{892}=\frac{1.5}{\frac{1}{2}}$$

Whakawehe 1.5 ki te \frac{1}{2} mā te whakarea 1.5 ki te tau huripoki o \frac{1}{2}.

$$-\frac{5}{892}=1.5\times 2$$

Whakareatia te 1.5 ki te 2, ka 3.

$$-\frac{5}{892}=3$$

Me tahuri te 3 ki te hautau \frac{2676}{892}.

$$-\frac{5}{892}=\frac{2676}{892}$$

Whakatauritea te -\frac{5}{892} me te \frac{2676}{892}.

$$\text{false}$$