Whakaoti i te 8/15*3/2+sqrt{2/3}*sqrt{2/3}=

$$\frac { 8 } { 15 } \cdot \frac { 3 } { 2 } + \sqrt { \frac { 2 } { 3 } } \cdot \sqrt { \frac { 2 } { 3 } } =$$

Aromātai

$$\frac{22}{15}\approx 1.466666667$$

Ngā Upane Otinga

Whakareatia te \sqrt{\frac{2}{3}} ki te \sqrt{\frac{2}{3}}, ka \frac{2}{3}.

$$\frac{8}{15}\times \frac{3}{2}+\frac{2}{3}$$

Me whakarea te \frac{8}{15} ki te \frac{3}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{8\times 3}{15\times 2}+\frac{2}{3}$$

Mahia ngā whakarea i roto i te hautanga \frac{8\times 3}{15\times 2}.

$$\frac{24}{30}+\frac{2}{3}$$

Whakahekea te hautanga \frac{24}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{4}{5}+\frac{2}{3}$$

Ko te maha noa iti rawa atu o 5 me 3 ko 15. Me tahuri \frac{4}{5} me \frac{2}{3} ki te hautau me te tautūnga 15.

$$\frac{12}{15}+\frac{10}{15}$$

Tā te mea he rite te tauraro o \frac{12}{15} me \frac{10}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{12+10}{15}$$

Tāpirihia te 12 ki te 10, ka 22.

$$\frac{22}{15}$$

Tauwehe

$$\frac{2 \cdot 11}{3 \cdot 5} = 1\frac{7}{15} = 1.4666666666666666$$