Whakaoti i te 6/14+3/7=(1/3+1/6)

$$\frac { 6 } { 14 } + \frac { 3 } { 7 } = ( \frac { 1 } { 3 } + \frac { 1 } { 6 } )$$

Manatoko

Ngā Upane Otinga

Whakahekea te hautanga \frac{6}{14} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{3}{7}+\frac{3}{7}=\frac{1}{3}+\frac{1}{6}$$

Tā te mea he rite te tauraro o \frac{3}{7} me \frac{3}{7}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3+3}{7}=\frac{1}{3}+\frac{1}{6}$$

Tāpirihia te 3 ki te 3, ka 6.

$$\frac{6}{7}=\frac{1}{3}+\frac{1}{6}$$

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

$$\frac{6}{7}=\frac{2}{6}+\frac{1}{6}$$

Tā te mea he rite te tauraro o \frac{2}{6} me \frac{1}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{6}{7}=\frac{2+1}{6}$$

Tāpirihia te 2 ki te 1, ka 3.

$$\frac{6}{7}=\frac{3}{6}$$

Whakahekea te hautanga \frac{3}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{6}{7}=\frac{1}{2}$$

Ko te maha noa iti rawa atu o 7 me 2 ko 14. Me tahuri \frac{6}{7} me \frac{1}{2} ki te hautau me te tautūnga 14.

$$\frac{12}{14}=\frac{7}{14}$$

Whakatauritea te \frac{12}{14} me te \frac{7}{14}.

$$\text{false}$$