Whakaoti i te 1/5*[1/3div(1/2+5/6)]

$$\frac { 1 } { 5 } \times [ \frac { 1 } { 3 } \div ( \frac { 1 } { 2 } + \frac { 5 } { 6 } ) ]$$

Aromātai

$$\frac{1}{20}=0.05$$

Ngā Upane Otinga

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

$$\frac{1}{5}\times \frac{\frac{1}{3}}{\frac{3}{6}+\frac{5}{6}}$$

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

$$\frac{1}{5}\times \frac{\frac{1}{3}}{\frac{3+5}{6}}$$

Tāpirihia te 3 ki te 5, ka 8.

$$\frac{1}{5}\times \frac{\frac{1}{3}}{\frac{8}{6}}$$

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

$$\frac{1}{5}\times \frac{\frac{1}{3}}{\frac{4}{3}}$$

Whakawehe \frac{1}{3} ki te \frac{4}{3} mā te whakarea \frac{1}{3} ki te tau huripoki o \frac{4}{3}.

$$\frac{1}{5}\times \frac{1}{3}\times \frac{3}{4}$$

Me whakarea te \frac{1}{3} ki te \frac{3}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1}{5}\times \frac{1\times 3}{3\times 4}$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{1}{5}\times \frac{1}{4}$$

Me whakarea te \frac{1}{5} ki te \frac{1}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 1}{5\times 4}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 1}{5\times 4}.

$$\frac{1}{20}$$

Tauwehe

$$\frac{1}{2 ^ {2} \cdot 5} = 0.05$$