Whakaoti i te -2+1/3/frac{3{5}-4/3}

$$\frac { - 2 + \frac { 1 } { 3 } } { \frac { 3 } { 5 } - \frac { 4 } { 3 } }$$

Aromātai

$$\frac{25}{11}\approx 2.272727273$$

Ngā Upane Otinga

Me tahuri te -2 ki te hautau -\frac{6}{3}.

$$\frac{-\frac{6}{3}+\frac{1}{3}}{\frac{3}{5}-\frac{4}{3}}$$

Tā te mea he rite te tauraro o -\frac{6}{3} me \frac{1}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{-6+1}{3}}{\frac{3}{5}-\frac{4}{3}}$$

Tāpirihia te -6 ki te 1, ka -5.

$$\frac{-\frac{5}{3}}{\frac{3}{5}-\frac{4}{3}}$$

Ko te maha noa iti rawa atu o 5 me 3 ko 15. Me tahuri \frac{3}{5} me \frac{4}{3} ki te hautau me te tautūnga 15.

$$\frac{-\frac{5}{3}}{\frac{9}{15}-\frac{20}{15}}$$

Tā te mea he rite te tauraro o \frac{9}{15} me \frac{20}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-\frac{5}{3}}{\frac{9-20}{15}}$$

Tangohia te 20 i te 9, ka -11.

$$\frac{-\frac{5}{3}}{-\frac{11}{15}}$$

Whakawehe -\frac{5}{3} ki te -\frac{11}{15} mā te whakarea -\frac{5}{3} ki te tau huripoki o -\frac{11}{15}.

$$-\frac{5}{3}\left(-\frac{15}{11}\right)$$

Me whakarea te -\frac{5}{3} ki te -\frac{15}{11} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-5\left(-15\right)}{3\times 11}$$

Mahia ngā whakarea i roto i te hautanga \frac{-5\left(-15\right)}{3\times 11}.

$$\frac{75}{33}$$

Whakahekea te hautanga \frac{75}{33} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{25}{11}$$

Tauwehe

$$\frac{5 ^ {2}}{11} = 2\frac{3}{11} = 2.272727272727273$$