Whakaoti i te 9r-1/2=5/6

$$9 r - \frac { 1 } { 2 } = \frac { 5 } { 6 }$$

Whakaoti mō r

$$r=\frac{4}{27}\approx 0.148148148$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me tāpiri te \frac{1}{2} ki ngā taha e rua.

$$9r=\frac{5}{6}+\frac{1}{2}$$

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.

$$9r=\frac{5}{6}+\frac{3}{6}$$

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.

$$9r=\frac{5+3}{6}$$

Tāpirihia te 5 ki te 3, ka 8.

$$9r=\frac{8}{6}$$

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

$$9r=\frac{4}{3}$$

Whakawehea ngā taha e rua ki te 9.

$$r=\frac{\frac{4}{3}}{9}$$

Tuhia te \frac{\frac{4}{3}}{9} hei hautanga kotahi.

$$r=\frac{4}{3\times 9}$$

Whakareatia te 3 ki te 9, ka 27.

$$r=\frac{4}{27}$$