Whakaoti i te n/3n-3n/n*3n/n-3n

$$\frac { n } { 3 n } - \frac { 3 n } { n } \times \frac { 3 n } { n - 3 n }$$

Aromātai

$$\frac{29}{6}\approx 4.833333333$$

Ngā Upane Otinga

Me whakakore tahi te n i te taurunga me te tauraro.

$$\frac{1}{3}-\frac{3n}{n}\times \frac{3n}{n-3n}$$

Me whakakore tahi te n i te taurunga me te tauraro.

$$\frac{1}{3}-3\times \frac{3n}{n-3n}$$

Pahekotia te n me -3n, ka -2n.

$$\frac{1}{3}-3\times \frac{3n}{-2n}$$

Me whakakore tahi te n i te taurunga me te tauraro.

$$\frac{1}{3}-3\times \frac{3}{-2}$$

Ka taea te hautanga \frac{3}{-2} te tuhi anō ko -\frac{3}{2} mā te tango i te tohu tōraro.

$$\frac{1}{3}-3\left(-\frac{3}{2}\right)$$

Tuhia te 3\left(-\frac{3}{2}\right) hei hautanga kotahi.

$$\frac{1}{3}-\frac{3\left(-3\right)}{2}$$

Whakareatia te 3 ki te -3, ka -9.

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

Ka taea te hautanga \frac{-9}{2} te tuhi anō ko -\frac{9}{2} mā te tango i te tohu tōraro.

$$\frac{1}{3}-\left(-\frac{9}{2}\right)$$

Ko te tauaro o -\frac{9}{2} ko \frac{9}{2}.

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

Ko te maha noa iti rawa atu o 3 me 2 ko 6. Me tahuri \frac{1}{3} me \frac{9}{2} ki te hautau me te tautūnga 6.

$$\frac{2}{6}+\frac{27}{6}$$

Tā te mea he rite te tauraro o \frac{2}{6} me \frac{27}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{2+27}{6}$$

Tāpirihia te 2 ki te 27, ka 29.

$$\frac{29}{6}$$

Tauwehe

$$\frac{29}{2 \cdot 3} = 4\frac{5}{6} = 4.833333333333333$$