Whakaoti i te 4(14/3)+17-8(14/3)+15(14/3)=3-5(14/3)

$$4 ( \frac { 14 } { 3 } ) + 17 - 8 ( \frac { 14 } { 3 } ) + 15 ( \frac { 14 } { 3 } ) = 3 - 5 ( \frac { 14 } { 3 } )$$

Manatoko

Ngā Upane Otinga

Tuhia te 4\times \frac{14}{3} hei hautanga kotahi.

$$\frac{4\times 14}{3}+17-8\times \frac{14}{3}+15\times \frac{14}{3}=3-5\times \frac{14}{3}$$

Whakareatia te 4 ki te 14, ka 56.

$$\frac{56}{3}+17-8\times \frac{14}{3}+15\times \frac{14}{3}=3-5\times \frac{14}{3}$$

Me tahuri te 17 ki te hautau \frac{51}{3}.

$$\frac{56}{3}+\frac{51}{3}-8\times \frac{14}{3}+15\times \frac{14}{3}=3-5\times \frac{14}{3}$$

Tā te mea he rite te tauraro o \frac{56}{3} me \frac{51}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{56+51}{3}-8\times \frac{14}{3}+15\times \frac{14}{3}=3-5\times \frac{14}{3}$$

Tāpirihia te 56 ki te 51, ka 107.

$$\frac{107}{3}-8\times \frac{14}{3}+15\times \frac{14}{3}=3-5\times \frac{14}{3}$$

Tuhia te 8\times \frac{14}{3} hei hautanga kotahi.

$$\frac{107}{3}-\frac{8\times 14}{3}+15\times \frac{14}{3}=3-5\times \frac{14}{3}$$

Whakareatia te 8 ki te 14, ka 112.

$$\frac{107}{3}-\frac{112}{3}+15\times \frac{14}{3}=3-5\times \frac{14}{3}$$

Tā te mea he rite te tauraro o \frac{107}{3} me \frac{112}{3}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{107-112}{3}+15\times \frac{14}{3}=3-5\times \frac{14}{3}$$

Tangohia te 112 i te 107, ka -5.

$$-\frac{5}{3}+15\times \frac{14}{3}=3-5\times \frac{14}{3}$$

Tuhia te 15\times \frac{14}{3} hei hautanga kotahi.

$$-\frac{5}{3}+\frac{15\times 14}{3}=3-5\times \frac{14}{3}$$

Whakareatia te 15 ki te 14, ka 210.

$$-\frac{5}{3}+\frac{210}{3}=3-5\times \frac{14}{3}$$

Tā te mea he rite te tauraro o -\frac{5}{3} me \frac{210}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-5+210}{3}=3-5\times \frac{14}{3}$$

Tāpirihia te -5 ki te 210, ka 205.

$$\frac{205}{3}=3-5\times \frac{14}{3}$$

Tuhia te 5\times \frac{14}{3} hei hautanga kotahi.

$$\frac{205}{3}=3-\frac{5\times 14}{3}$$

Whakareatia te 5 ki te 14, ka 70.

$$\frac{205}{3}=3-\frac{70}{3}$$

Me tahuri te 3 ki te hautau \frac{9}{3}.

$$\frac{205}{3}=\frac{9}{3}-\frac{70}{3}$$

Tā te mea he rite te tauraro o \frac{9}{3} me \frac{70}{3}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{205}{3}=\frac{9-70}{3}$$

Tangohia te 70 i te 9, ka -61.

$$\frac{205}{3}=-\frac{61}{3}$$

Whakatauritea te \frac{205}{3} me te -\frac{61}{3}.

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