Whakaoti i te 2/3:[5:(2/4+1)-3(1/2-1/4)]

$$\frac { 2 } { 3 } : [ 5 : ( \frac { 2 } { 4 } + 1 ) - 3 ( \frac { 1 } { 2 } - \frac { 1 } { 4 } ) ]$$

Aromātai

$$\frac{8}{31}\approx 0.258064516$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{2}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{2}{3}}{\frac{5}{\frac{1}{2}+1}-3\left(\frac{1}{2}-\frac{1}{4}\right)}$$

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

$$\frac{\frac{2}{3}}{\frac{5}{\frac{1}{2}+\frac{2}{2}}-3\left(\frac{1}{2}-\frac{1}{4}\right)}$$

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

$$\frac{\frac{2}{3}}{\frac{5}{\frac{1+2}{2}}-3\left(\frac{1}{2}-\frac{1}{4}\right)}$$

Tāpirihia te 1 ki te 2, ka 3.

$$\frac{\frac{2}{3}}{\frac{5}{\frac{3}{2}}-3\left(\frac{1}{2}-\frac{1}{4}\right)}$$

Whakawehe 5 ki te \frac{3}{2} mā te whakarea 5 ki te tau huripoki o \frac{3}{2}.

$$\frac{\frac{2}{3}}{5\times \frac{2}{3}-3\left(\frac{1}{2}-\frac{1}{4}\right)}$$

Tuhia te 5\times \frac{2}{3} hei hautanga kotahi.

$$\frac{\frac{2}{3}}{\frac{5\times 2}{3}-3\left(\frac{1}{2}-\frac{1}{4}\right)}$$

Whakareatia te 5 ki te 2, ka 10.

$$\frac{\frac{2}{3}}{\frac{10}{3}-3\left(\frac{1}{2}-\frac{1}{4}\right)}$$

Ko te maha noa iti rawa atu o 2 me 4 ko 4. Me tahuri \frac{1}{2} me \frac{1}{4} ki te hautau me te tautūnga 4.

$$\frac{\frac{2}{3}}{\frac{10}{3}-3\left(\frac{2}{4}-\frac{1}{4}\right)}$$

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

$$\frac{\frac{2}{3}}{\frac{10}{3}-3\times \frac{2-1}{4}}$$

Tangohia te 1 i te 2, ka 1.

$$\frac{\frac{2}{3}}{\frac{10}{3}-3\times \frac{1}{4}}$$

Whakareatia te 3 ki te \frac{1}{4}, ka \frac{3}{4}.

$$\frac{\frac{2}{3}}{\frac{10}{3}-\frac{3}{4}}$$

Ko te maha noa iti rawa atu o 3 me 4 ko 12. Me tahuri \frac{10}{3} me \frac{3}{4} ki te hautau me te tautūnga 12.

$$\frac{\frac{2}{3}}{\frac{40}{12}-\frac{9}{12}}$$

Tā te mea he rite te tauraro o \frac{40}{12} me \frac{9}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{2}{3}}{\frac{40-9}{12}}$$

Tangohia te 9 i te 40, ka 31.

$$\frac{\frac{2}{3}}{\frac{31}{12}}$$

Whakawehe \frac{2}{3} ki te \frac{31}{12} mā te whakarea \frac{2}{3} ki te tau huripoki o \frac{31}{12}.

$$\frac{2}{3}\times \frac{12}{31}$$

Me whakarea te \frac{2}{3} ki te \frac{12}{31} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{2\times 12}{3\times 31}$$

Mahia ngā whakarea i roto i te hautanga \frac{2\times 12}{3\times 31}.

$$\frac{24}{93}$$

Whakahekea te hautanga \frac{24}{93} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{8}{31}$$

Tauwehe

$$\frac{2 ^ {3}}{31} = 0.25806451612903225$$