Whakaoti i te (2/3)^2(1/4-1/2)-2/3(frac{1}{4})

$$( \frac { 2 } { 3 } ) ^ { 2 } ( \frac { 1 } { 4 } - \frac { 1 } { 2 } ) - \frac { 2 } { 3 } ( \frac { 1 } { 4 } )$$

Aromātai

$$-\frac{5}{18}\approx -0.277777778$$

Ngā Upane Otinga

Tātaihia te \frac{2}{3} mā te pū o 2, kia riro ko \frac{4}{9}.

$$\frac{4}{9}\left(\frac{1}{4}-\frac{1}{2}\right)-\frac{2}{3}\times \frac{1}{4}$$

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

$$\frac{4}{9}\left(\frac{1}{4}-\frac{2}{4}\right)-\frac{2}{3}\times \frac{1}{4}$$

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

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

Tangohia te 2 i te 1, ka -1.

$$\frac{4}{9}\left(-\frac{1}{4}\right)-\frac{2}{3}\times \frac{1}{4}$$

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

$$\frac{4\left(-1\right)}{9\times 4}-\frac{2}{3}\times \frac{1}{4}$$

Me whakakore tahi te 4 i te taurunga me te tauraro.

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

Ka taea te hautanga \frac{-1}{9} te tuhi anō ko -\frac{1}{9} mā te tango i te tohu tōraro.

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

Me whakarea te \frac{2}{3} ki te \frac{1}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Mahia ngā whakarea i roto i te hautanga \frac{2\times 1}{3\times 4}.

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

Whakahekea te hautanga \frac{2}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

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

Ko te maha noa iti rawa atu o 9 me 6 ko 18. Me tahuri -\frac{1}{9} me \frac{1}{6} ki te hautau me te tautūnga 18.

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

Tā te mea he rite te tauraro o -\frac{2}{18} me \frac{3}{18}, me tango rāua mā te tango i ō raua taurunga.

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

Tangohia te 3 i te -2, ka -5.

$$-\frac{5}{18}$$

Tauwehe

$$-\frac{5}{18} = -0.2777777777777778$$