Whakaoti i te -1/3*27+13/12*9-30*9

$$- \frac { 1 } { 3 } \times 27 + \frac { 13 } { 12 } \times 9 - 30 \times 9$$

Aromātai

$$-\frac{1077}{4}=-269.25$$

Ngā Upane Otinga

Tuhia te -\frac{1}{3}\times 27 hei hautanga kotahi.

$$\frac{-27}{3}+\frac{13}{12}\times 9-30\times 9$$

Whakawehea te -27 ki te 3, kia riro ko -9.

$$-9+\frac{13}{12}\times 9-30\times 9$$

Tuhia te \frac{13}{12}\times 9 hei hautanga kotahi.

$$-9+\frac{13\times 9}{12}-30\times 9$$

Whakareatia te 13 ki te 9, ka 117.

$$-9+\frac{117}{12}-30\times 9$$

Whakahekea te hautanga \frac{117}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$-9+\frac{39}{4}-30\times 9$$

Me tahuri te -9 ki te hautau -\frac{36}{4}.

$$-\frac{36}{4}+\frac{39}{4}-30\times 9$$

Tā te mea he rite te tauraro o -\frac{36}{4} me \frac{39}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-36+39}{4}-30\times 9$$

Tāpirihia te -36 ki te 39, ka 3.

$$\frac{3}{4}-30\times 9$$

Whakareatia te 30 ki te 9, ka 270.

$$\frac{3}{4}-270$$

Me tahuri te 270 ki te hautau \frac{1080}{4}.

$$\frac{3}{4}-\frac{1080}{4}$$

Tā te mea he rite te tauraro o \frac{3}{4} me \frac{1080}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{3-1080}{4}$$

Tangohia te 1080 i te 3, ka -1077.

$$-\frac{1077}{4}$$

Tauwehe

$$-\frac{1077}{4} = -269\frac{1}{4} = -269.25$$