Whakaoti i te -2.88*35/72+(1.0625-5/12)*(-16)=

$$-2.88 \times \frac{ 35 }{ 72 } +(1.0625- \frac{ 5 }{ 12 } ) \times (-16)=$$

Aromātai

$$-\frac{176}{15}\approx -11.733333333$$

Ngā Upane Otinga

Me tahuri ki tau ā-ira -2.88 ki te hautau -\frac{288}{100}. Whakahekea te hautanga -\frac{288}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$-\frac{72}{25}\times \frac{35}{72}+\left(1.0625-\frac{5}{12}\right)\left(-16\right)$$

Me whakarea te -\frac{72}{25} ki te \frac{35}{72} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-72\times 35}{25\times 72}+\left(1.0625-\frac{5}{12}\right)\left(-16\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{-72\times 35}{25\times 72}.

$$\frac{-2520}{1800}+\left(1.0625-\frac{5}{12}\right)\left(-16\right)$$

Whakahekea te hautanga \frac{-2520}{1800} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 360.

$$-\frac{7}{5}+\left(1.0625-\frac{5}{12}\right)\left(-16\right)$$

Me tahuri ki tau ā-ira 1.0625 ki te hautau \frac{10625}{10000}. Whakahekea te hautanga \frac{10625}{10000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 625.

$$-\frac{7}{5}+\left(\frac{17}{16}-\frac{5}{12}\right)\left(-16\right)$$

Ko te maha noa iti rawa atu o 16 me 12 ko 48. Me tahuri \frac{17}{16} me \frac{5}{12} ki te hautau me te tautūnga 48.

$$-\frac{7}{5}+\left(\frac{51}{48}-\frac{20}{48}\right)\left(-16\right)$$

Tā te mea he rite te tauraro o \frac{51}{48} me \frac{20}{48}, me tango rāua mā te tango i ō raua taurunga.

$$-\frac{7}{5}+\frac{51-20}{48}\left(-16\right)$$

Tangohia te 20 i te 51, ka 31.

$$-\frac{7}{5}+\frac{31}{48}\left(-16\right)$$

Tuhia te \frac{31}{48}\left(-16\right) hei hautanga kotahi.

$$-\frac{7}{5}+\frac{31\left(-16\right)}{48}$$

Whakareatia te 31 ki te -16, ka -496.

$$-\frac{7}{5}+\frac{-496}{48}$$

Whakahekea te hautanga \frac{-496}{48} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 16.

$$-\frac{7}{5}-\frac{31}{3}$$

Ko te maha noa iti rawa atu o 5 me 3 ko 15. Me tahuri -\frac{7}{5} me \frac{31}{3} ki te hautau me te tautūnga 15.

$$-\frac{21}{15}-\frac{155}{15}$$

Tā te mea he rite te tauraro o -\frac{21}{15} me \frac{155}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-21-155}{15}$$

Tangohia te 155 i te -21, ka -176.

$$-\frac{176}{15}$$

Tauwehe

$$-\frac{176}{15} = -11\frac{11}{15} = -11.733333333333333$$