Whakaoti i te 3/4*(14/3)^2-3*14/3+4

$$\frac { 3 } { 4 } \times ( \frac { 14 } { 3 } ) ^ { 2 } - 3 \times \frac { 14 } { 3 } + 4$$

Aromātai

$$\frac{19}{3}\approx 6.333333333$$

Ngā Upane Otinga

Tātaihia te \frac{14}{3} mā te pū o 2, kia riro ko \frac{196}{9}.

$$\frac{3}{4}\times \frac{196}{9}-3\times \frac{14}{3}+4$$

Me whakarea te \frac{3}{4} ki te \frac{196}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{3\times 196}{4\times 9}-3\times \frac{14}{3}+4$$

Mahia ngā whakarea i roto i te hautanga \frac{3\times 196}{4\times 9}.

$$\frac{588}{36}-3\times \frac{14}{3}+4$$

Whakahekea te hautanga \frac{588}{36} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 12.

$$\frac{49}{3}-3\times \frac{14}{3}+4$$

Me whakakore te 3 me te 3.

$$\frac{49}{3}-14+4$$

Me tahuri te 14 ki te hautau \frac{42}{3}.

$$\frac{49}{3}-\frac{42}{3}+4$$

Tā te mea he rite te tauraro o \frac{49}{3} me \frac{42}{3}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{49-42}{3}+4$$

Tangohia te 42 i te 49, ka 7.

$$\frac{7}{3}+4$$

Me tahuri te 4 ki te hautau \frac{12}{3}.

$$\frac{7}{3}+\frac{12}{3}$$

Tā te mea he rite te tauraro o \frac{7}{3} me \frac{12}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{7+12}{3}$$

Tāpirihia te 7 ki te 12, ka 19.

$$\frac{19}{3}$$

Tauwehe

$$\frac{19}{3} = 6\frac{1}{3} = 6.333333333333333$$