Whakaoti i te {l}{7/19-5/9=5-0}{8/21+7/9=6-0}

$$\left. \begin{array} { l } { \frac { 7 } { 19 } - \frac { 5 } { 9 } = 5 - 0 } \\ { \frac { 8 } { 21 } + \frac { 7 } { 9 } = 6 - 0 } \end{array} \right.$$

Manatoko

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 19 me 9 ko 171. Me tahuri \frac{7}{19} me \frac{5}{9} ki te hautau me te tautūnga 171.

$$\frac{63}{171}-\frac{95}{171}=5-0\text{ and }\frac{8}{21}+\frac{7}{9}=6-0$$

Tā te mea he rite te tauraro o \frac{63}{171} me \frac{95}{171}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{63-95}{171}=5-0\text{ and }\frac{8}{21}+\frac{7}{9}=6-0$$

Tangohia te 95 i te 63, ka -32.

$$-\frac{32}{171}=5-0\text{ and }\frac{8}{21}+\frac{7}{9}=6-0$$

Tangohia te 0 i te 5, ka 5.

$$-\frac{32}{171}=5\text{ and }\frac{8}{21}+\frac{7}{9}=6-0$$

Me tahuri te 5 ki te hautau \frac{855}{171}.

$$-\frac{32}{171}=\frac{855}{171}\text{ and }\frac{8}{21}+\frac{7}{9}=6-0$$

Whakatauritea te -\frac{32}{171} me te \frac{855}{171}.

$$\text{false}\text{ and }\frac{8}{21}+\frac{7}{9}=6-0$$

Ko te maha noa iti rawa atu o 21 me 9 ko 63. Me tahuri \frac{8}{21} me \frac{7}{9} ki te hautau me te tautūnga 63.

$$\text{false}\text{ and }\frac{24}{63}+\frac{49}{63}=6-0$$

Tā te mea he rite te tauraro o \frac{24}{63} me \frac{49}{63}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\text{false}\text{ and }\frac{24+49}{63}=6-0$$

Tāpirihia te 24 ki te 49, ka 73.

$$\text{false}\text{ and }\frac{73}{63}=6-0$$

Tangohia te 0 i te 6, ka 6.

$$\text{false}\text{ and }\frac{73}{63}=6$$

Me tahuri te 6 ki te hautau \frac{378}{63}.

$$\text{false}\text{ and }\frac{73}{63}=\frac{378}{63}$$

Whakatauritea te \frac{73}{63} me te \frac{378}{63}.

$$\text{false}\text{ and }\text{false}$$

Ko te kōmititanga tōrunga o \text{false} me \text{false} ko \text{false}.

$$\text{false}$$