Whakaoti i te 95/3/3-5frac{5{3}}

$$\frac { 9 \frac { 5 } { 3 } } { 3 - 5 \frac { 5 } { 3 } }$$

Aromātai

$$-\frac{32}{11}\approx -2.909090909$$

Ngā Upane Otinga

Whakareatia te 9 ki te 3, ka 27.

$$\frac{\frac{27+5}{3}}{3-\frac{5\times 3+5}{3}}$$

Tāpirihia te 27 ki te 5, ka 32.

$$\frac{\frac{32}{3}}{3-\frac{5\times 3+5}{3}}$$

Whakareatia te 5 ki te 3, ka 15.

$$\frac{\frac{32}{3}}{3-\frac{15+5}{3}}$$

Tāpirihia te 15 ki te 5, ka 20.

$$\frac{\frac{32}{3}}{3-\frac{20}{3}}$$

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

$$\frac{\frac{32}{3}}{\frac{9}{3}-\frac{20}{3}}$$

Tā te mea he rite te tauraro o \frac{9}{3} me \frac{20}{3}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{32}{3}}{\frac{9-20}{3}}$$

Tangohia te 20 i te 9, ka -11.

$$\frac{\frac{32}{3}}{-\frac{11}{3}}$$

Whakawehe \frac{32}{3} ki te -\frac{11}{3} mā te whakarea \frac{32}{3} ki te tau huripoki o -\frac{11}{3}.

$$\frac{32}{3}\left(-\frac{3}{11}\right)$$

Me whakarea te \frac{32}{3} ki te -\frac{3}{11} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{32\left(-3\right)}{3\times 11}$$

Mahia ngā whakarea i roto i te hautanga \frac{32\left(-3\right)}{3\times 11}.

$$\frac{-96}{33}$$

Whakahekea te hautanga \frac{-96}{33} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$-\frac{32}{11}$$

Tauwehe

$$-\frac{32}{11} = -2\frac{10}{11} = -2.909090909090909$$