Whakaoti i te 2/3+1/4*1/3*2/3-frac{1}{2}

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

Aromātai

$$\frac{2}{9}\approx 0.222222222$$

Ngā Upane Otinga

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

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

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

$$\frac{2}{3}+\frac{1}{12}\times \frac{2}{3}-\frac{1}{2}$$

Me whakarea te \frac{1}{12} ki te \frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{2}{3}+\frac{1\times 2}{12\times 3}-\frac{1}{2}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 2}{12\times 3}.

$$\frac{2}{3}+\frac{2}{36}-\frac{1}{2}$$

Whakahekea te hautanga \frac{2}{36} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{2}{3}+\frac{1}{18}-\frac{1}{2}$$

Ko te maha noa iti rawa atu o 3 me 18 ko 18. Me tahuri \frac{2}{3} me \frac{1}{18} ki te hautau me te tautūnga 18.

$$\frac{12}{18}+\frac{1}{18}-\frac{1}{2}$$

Tā te mea he rite te tauraro o \frac{12}{18} me \frac{1}{18}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{12+1}{18}-\frac{1}{2}$$

Tāpirihia te 12 ki te 1, ka 13.

$$\frac{13}{18}-\frac{1}{2}$$

Ko te maha noa iti rawa atu o 18 me 2 ko 18. Me tahuri \frac{13}{18} me \frac{1}{2} ki te hautau me te tautūnga 18.

$$\frac{13}{18}-\frac{9}{18}$$

Tā te mea he rite te tauraro o \frac{13}{18} me \frac{9}{18}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{13-9}{18}$$

Tangohia te 9 i te 13, ka 4.

$$\frac{4}{18}$$

Whakahekea te hautanga \frac{4}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{2}{9}$$

Tauwehe

$$\frac{2}{3 ^ {2}} = 0.2222222222222222$$