Whakaoti i te 1/2-1+2*1/frac{1{sqrt{3}}*frac{sqrt{3}}{1}}

$$\frac { \frac { 1 } { 2 } - 1 + 2 \times 1 } { \frac { 1 } { \sqrt { 3 } } \times \frac { \sqrt { 3 } } { 1 } }$$

Aromātai

$$\frac{3}{2}=1.5$$

Ngā Upane Otinga

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

$$\frac{\frac{1}{2}-\frac{2}{2}+2\times 1}{\frac{1}{\sqrt{3}}\times \frac{\sqrt{3}}{1}}$$

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

$$\frac{\frac{1-2}{2}+2\times 1}{\frac{1}{\sqrt{3}}\times \frac{\sqrt{3}}{1}}$$

Tangohia te 2 i te 1, ka -1.

$$\frac{-\frac{1}{2}+2\times 1}{\frac{1}{\sqrt{3}}\times \frac{\sqrt{3}}{1}}$$

Whakareatia te 2 ki te 1, ka 2.

$$\frac{-\frac{1}{2}+2}{\frac{1}{\sqrt{3}}\times \frac{\sqrt{3}}{1}}$$

Me tahuri te 2 ki te hautau \frac{4}{2}.

$$\frac{-\frac{1}{2}+\frac{4}{2}}{\frac{1}{\sqrt{3}}\times \frac{\sqrt{3}}{1}}$$

Tā te mea he rite te tauraro o -\frac{1}{2} me \frac{4}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{-1+4}{2}}{\frac{1}{\sqrt{3}}\times \frac{\sqrt{3}}{1}}$$

Tāpirihia te -1 ki te 4, ka 3.

$$\frac{\frac{3}{2}}{\frac{1}{\sqrt{3}}\times \frac{\sqrt{3}}{1}}$$

Whakangāwaritia te tauraro o \frac{1}{\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$\frac{\frac{3}{2}}{\frac{\sqrt{3}}{\left(\sqrt{3}\right)^{2}}\times \frac{\sqrt{3}}{1}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{\frac{3}{2}}{\frac{\sqrt{3}}{3}\times \frac{\sqrt{3}}{1}}$$

Ka whakawehea he tau ki te tahi, hua ai ko ia anō.

$$\frac{\frac{3}{2}}{\frac{\sqrt{3}}{3}\sqrt{3}}$$

Tuhia te \frac{\sqrt{3}}{3}\sqrt{3} hei hautanga kotahi.

$$\frac{\frac{3}{2}}{\frac{\sqrt{3}\sqrt{3}}{3}}$$

Whakawehe \frac{3}{2} ki te \frac{\sqrt{3}\sqrt{3}}{3} mā te whakarea \frac{3}{2} ki te tau huripoki o \frac{\sqrt{3}\sqrt{3}}{3}.

$$\frac{3\times 3}{2\sqrt{3}\sqrt{3}}$$

Whakangāwaritia te tauraro o \frac{3\times 3}{2\sqrt{3}\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$\frac{3\times 3\sqrt{3}}{2\left(\sqrt{3}\right)^{2}\sqrt{3}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{3\times 3\sqrt{3}}{2\times 3\sqrt{3}}$$

Me whakakore tahi te \sqrt{3} i te taurunga me te tauraro.

$$\frac{3\times 3}{2\times 3}$$

Whakareatia te 3 ki te 3, ka 9.

$$\frac{9}{2\times 3}$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{9}{6}$$

Whakahekea te hautanga \frac{9}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{3}{2}$$

Tauwehe

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$