Whakaoti i te (1/3)^2*(1-1/4)/frac{8{9}+11/3-2/3}

$$\frac { ( 1 / 3 ) ^ { 2 } \times ( 1 - \frac { 1 } { 4 } ) } { \frac { 8 } { 9 } + \frac { 11 } { 3 } - \frac { 2 } { 3 } }$$

Aromātai

$$\frac{3}{140}\approx 0.021428571$$

Ngā Upane Otinga

Tātaihia te \frac{1}{3} mā te pū o 2, kia riro ko \frac{1}{9}.

$$\frac{\frac{1}{9}\left(1-\frac{1}{4}\right)}{\frac{8}{9}+\frac{11}{3}-\frac{2}{3}}$$

Me tahuri te 1 ki te hautau \frac{4}{4}.

$$\frac{\frac{1}{9}\left(\frac{4}{4}-\frac{1}{4}\right)}{\frac{8}{9}+\frac{11}{3}-\frac{2}{3}}$$

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

$$\frac{\frac{1}{9}\times \frac{4-1}{4}}{\frac{8}{9}+\frac{11}{3}-\frac{2}{3}}$$

Tangohia te 1 i te 4, ka 3.

$$\frac{\frac{1}{9}\times \frac{3}{4}}{\frac{8}{9}+\frac{11}{3}-\frac{2}{3}}$$

Me whakarea te \frac{1}{9} ki te \frac{3}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{1\times 3}{9\times 4}}{\frac{8}{9}+\frac{11}{3}-\frac{2}{3}}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 3}{9\times 4}.

$$\frac{\frac{3}{36}}{\frac{8}{9}+\frac{11}{3}-\frac{2}{3}}$$

Whakahekea te hautanga \frac{3}{36} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{\frac{1}{12}}{\frac{8}{9}+\frac{11}{3}-\frac{2}{3}}$$

Ko te maha noa iti rawa atu o 9 me 3 ko 9. Me tahuri \frac{8}{9} me \frac{11}{3} ki te hautau me te tautūnga 9.

$$\frac{\frac{1}{12}}{\frac{8}{9}+\frac{33}{9}-\frac{2}{3}}$$

Tā te mea he rite te tauraro o \frac{8}{9} me \frac{33}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{1}{12}}{\frac{8+33}{9}-\frac{2}{3}}$$

Tāpirihia te 8 ki te 33, ka 41.

$$\frac{\frac{1}{12}}{\frac{41}{9}-\frac{2}{3}}$$

Ko te maha noa iti rawa atu o 9 me 3 ko 9. Me tahuri \frac{41}{9} me \frac{2}{3} ki te hautau me te tautūnga 9.

$$\frac{\frac{1}{12}}{\frac{41}{9}-\frac{6}{9}}$$

Tā te mea he rite te tauraro o \frac{41}{9} me \frac{6}{9}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{1}{12}}{\frac{41-6}{9}}$$

Tangohia te 6 i te 41, ka 35.

$$\frac{\frac{1}{12}}{\frac{35}{9}}$$

Whakawehe \frac{1}{12} ki te \frac{35}{9} mā te whakarea \frac{1}{12} ki te tau huripoki o \frac{35}{9}.

$$\frac{1}{12}\times \frac{9}{35}$$

Me whakarea te \frac{1}{12} ki te \frac{9}{35} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 9}{12\times 35}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 9}{12\times 35}.

$$\frac{9}{420}$$

Whakahekea te hautanga \frac{9}{420} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{3}{140}$$

Tauwehe

$$\frac{3}{2 ^ {2} \cdot 5 \cdot 7} = 0.02142857142857143$$