Whakaoti i te -1/4+5/6+2/3+1/2

$$- \frac { 1 } { 4 } + \frac { 5 } { 6 } + \frac { 2 } { 3 } + \frac { 1 } { 2 }$$

Aromātai

$$\frac{7}{4}=1.75$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 4 me 6 ko 12. Me tahuri -\frac{1}{4} me \frac{5}{6} ki te hautau me te tautūnga 12.

$$-\frac{3}{12}+\frac{10}{12}+\frac{2}{3}+\frac{1}{2}$$

Tā te mea he rite te tauraro o -\frac{3}{12} me \frac{10}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-3+10}{12}+\frac{2}{3}+\frac{1}{2}$$

Tāpirihia te -3 ki te 10, ka 7.

$$\frac{7}{12}+\frac{2}{3}+\frac{1}{2}$$

Ko te maha noa iti rawa atu o 12 me 3 ko 12. Me tahuri \frac{7}{12} me \frac{2}{3} ki te hautau me te tautūnga 12.

$$\frac{7}{12}+\frac{8}{12}+\frac{1}{2}$$

Tā te mea he rite te tauraro o \frac{7}{12} me \frac{8}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{7+8}{12}+\frac{1}{2}$$

Tāpirihia te 7 ki te 8, ka 15.

$$\frac{15}{12}+\frac{1}{2}$$

Whakahekea te hautanga \frac{15}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

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

Ko te maha noa iti rawa atu o 4 me 2 ko 4. Me tahuri \frac{5}{4} me \frac{1}{2} ki te hautau me te tautūnga 4.

$$\frac{5}{4}+\frac{2}{4}$$

Tā te mea he rite te tauraro o \frac{5}{4} me \frac{2}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5+2}{4}$$

Tāpirihia te 5 ki te 2, ka 7.

$$\frac{7}{4}$$

Tauwehe

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$