Whakaoti i te 1/5+-5/9+2/3

$$\frac { 1 } { 5 } + \frac { - 5 } { 9 } + \frac { 2 } { 3 }$$

Aromātai

$$\frac{14}{45}\approx 0.311111111$$

Ngā Upane Otinga

Ka taea te hautanga \frac{-5}{9} te tuhi anō ko -\frac{5}{9} mā te tango i te tohu tōraro.

$$\frac{1}{5}-\frac{5}{9}+\frac{2}{3}$$

Ko te maha noa iti rawa atu o 5 me 9 ko 45. Me tahuri \frac{1}{5} me \frac{5}{9} ki te hautau me te tautūnga 45.

$$\frac{9}{45}-\frac{25}{45}+\frac{2}{3}$$

Tā te mea he rite te tauraro o \frac{9}{45} me \frac{25}{45}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{9-25}{45}+\frac{2}{3}$$

Tangohia te 25 i te 9, ka -16.

$$-\frac{16}{45}+\frac{2}{3}$$

Ko te maha noa iti rawa atu o 45 me 3 ko 45. Me tahuri -\frac{16}{45} me \frac{2}{3} ki te hautau me te tautūnga 45.

$$-\frac{16}{45}+\frac{30}{45}$$

Tā te mea he rite te tauraro o -\frac{16}{45} me \frac{30}{45}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-16+30}{45}$$

Tāpirihia te -16 ki te 30, ka 14.

$$\frac{14}{45}$$

Tauwehe

$$\frac{2 \cdot 7}{3 ^ {2} \cdot 5} = 0.3111111111111111$$