Whakaoti i te 5/6+1/2=13/12x

$$\frac{ 5 }{ 6 } + \frac{ 1 }{ 2 } = \frac{ 13 }{ 12 } x$$

Whakaoti mō x

$$x = \frac{16}{13} = 1\frac{3}{13} \approx 1.230769231$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Ko te maha noa iti rawa atu o 6 me 2 ko 6. Me tahuri \frac{5}{6} me \frac{1}{2} ki te hautau me te tautūnga 6.

$$\frac{5}{6}+\frac{3}{6}=\frac{13}{12}x$$

Tā te mea he rite te tauraro o \frac{5}{6} me \frac{3}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5+3}{6}=\frac{13}{12}x$$

Tāpirihia te 5 ki te 3, ka 8.

$$\frac{8}{6}=\frac{13}{12}x$$

Whakahekea te hautanga \frac{8}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{4}{3}=\frac{13}{12}x$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$\frac{13}{12}x=\frac{4}{3}$$

Me whakarea ngā taha e rua ki te \frac{12}{13}, te tau utu o \frac{13}{12}.

$$x=\frac{4}{3}\times \frac{12}{13}$$

Me whakarea te \frac{4}{3} ki te \frac{12}{13} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{4\times 12}{3\times 13}$$

Mahia ngā whakarea i roto i te hautanga \frac{4\times 12}{3\times 13}.

$$x=\frac{48}{39}$$

Whakahekea te hautanga \frac{48}{39} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$x=\frac{16}{13}$$