Whakaoti i te 1/3+((2/3-3/4)*6-3/7)=

$$\frac { 1 } { 3 } + ( ( \frac { 2 } { 3 } - \frac { 3 } { 4 } ) \cdot 6 - \frac { 3 } { 7 } ) =$$

Aromātai

$$-\frac{25}{42}\approx -0.595238095$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 3 me 4 ko 12. Me tahuri \frac{2}{3} me \frac{3}{4} ki te hautau me te tautūnga 12.

$$\frac{1}{3}+\left(\frac{8}{12}-\frac{9}{12}\right)\times 6-\frac{3}{7}$$

Tā te mea he rite te tauraro o \frac{8}{12} me \frac{9}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{3}+\frac{8-9}{12}\times 6-\frac{3}{7}$$

Tangohia te 9 i te 8, ka -1.

$$\frac{1}{3}-\frac{1}{12}\times 6-\frac{3}{7}$$

Tuhia te -\frac{1}{12}\times 6 hei hautanga kotahi.

$$\frac{1}{3}+\frac{-6}{12}-\frac{3}{7}$$

Whakahekea te hautanga \frac{-6}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{1}{3}-\frac{1}{2}-\frac{3}{7}$$

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

$$\frac{2}{6}-\frac{3}{6}-\frac{3}{7}$$

Tā te mea he rite te tauraro o \frac{2}{6} me \frac{3}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{2-3}{6}-\frac{3}{7}$$

Tangohia te 3 i te 2, ka -1.

$$-\frac{1}{6}-\frac{3}{7}$$

Ko te maha noa iti rawa atu o 6 me 7 ko 42. Me tahuri -\frac{1}{6} me \frac{3}{7} ki te hautau me te tautūnga 42.

$$-\frac{7}{42}-\frac{18}{42}$$

Tā te mea he rite te tauraro o -\frac{7}{42} me \frac{18}{42}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-7-18}{42}$$

Tangohia te 18 i te -7, ka -25.

$$-\frac{25}{42}$$

Tauwehe

$$-\frac{25}{42} = -0.5952380952380952$$