Whakaoti i te {l}{31/5div8/5*21/10}{1div1/2divfrac{4}{3}*frac{1}{6}}

$$\left. \begin{array} { l } { 3 \frac { 1 } { 5 } \div \frac { 8 } { 5 } \times 2 \frac { 1 } { 10 } } \\ { 1 \div \frac { 1 } { 2 } \div \frac { 4 } { 3 } \times \frac { 1 } { 6 } } \end{array} \right.$$

Kōmaka

$$\frac{1}{4},\frac{21}{5}$$

Ngā Upane Otinga

Whakawehe \frac{3\times 5+1}{5} ki te \frac{8}{5} mā te whakarea \frac{3\times 5+1}{5} ki te tau huripoki o \frac{8}{5}.

$$sort(\frac{\left(3\times 5+1\right)\times 5}{5\times 8}\times \frac{2\times 10+1}{10},\frac{\frac{1}{\frac{1}{2}}}{\frac{4}{3}}\times \frac{1}{6})$$

Me whakakore tahi te 5 i te taurunga me te tauraro.

$$sort(\frac{1+3\times 5}{8}\times \frac{2\times 10+1}{10},\frac{\frac{1}{\frac{1}{2}}}{\frac{4}{3}}\times \frac{1}{6})$$

Whakareatia te 3 ki te 5, ka 15.

$$sort(\frac{1+15}{8}\times \frac{2\times 10+1}{10},\frac{\frac{1}{\frac{1}{2}}}{\frac{4}{3}}\times \frac{1}{6})$$

Tāpirihia te 1 ki te 15, ka 16.

$$sort(\frac{16}{8}\times \frac{2\times 10+1}{10},\frac{\frac{1}{\frac{1}{2}}}{\frac{4}{3}}\times \frac{1}{6})$$

Whakawehea te 16 ki te 8, kia riro ko 2.

$$sort(2\times \frac{2\times 10+1}{10},\frac{\frac{1}{\frac{1}{2}}}{\frac{4}{3}}\times \frac{1}{6})$$

Whakareatia te 2 ki te 10, ka 20.

$$sort(2\times \frac{20+1}{10},\frac{\frac{1}{\frac{1}{2}}}{\frac{4}{3}}\times \frac{1}{6})$$

Tāpirihia te 20 ki te 1, ka 21.

$$sort(2\times \frac{21}{10},\frac{\frac{1}{\frac{1}{2}}}{\frac{4}{3}}\times \frac{1}{6})$$

Tuhia te 2\times \frac{21}{10} hei hautanga kotahi.

$$sort(\frac{2\times 21}{10},\frac{\frac{1}{\frac{1}{2}}}{\frac{4}{3}}\times \frac{1}{6})$$

Whakareatia te 2 ki te 21, ka 42.

$$sort(\frac{42}{10},\frac{\frac{1}{\frac{1}{2}}}{\frac{4}{3}}\times \frac{1}{6})$$

Whakahekea te hautanga \frac{42}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$sort(\frac{21}{5},\frac{\frac{1}{\frac{1}{2}}}{\frac{4}{3}}\times \frac{1}{6})$$

Whakawehe \frac{1}{\frac{1}{2}} ki te \frac{4}{3} mā te whakarea \frac{1}{\frac{1}{2}} ki te tau huripoki o \frac{4}{3}.

$$sort(\frac{21}{5},\frac{3}{\frac{1}{2}\times 4}\times \frac{1}{6})$$

Whakareatia te \frac{1}{2} ki te 4, ka \frac{4}{2}.

$$sort(\frac{21}{5},\frac{3}{\frac{4}{2}}\times \frac{1}{6})$$

Whakawehea te 4 ki te 2, kia riro ko 2.

$$sort(\frac{21}{5},\frac{3}{2}\times \frac{1}{6})$$

Me whakarea te \frac{3}{2} ki te \frac{1}{6} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$sort(\frac{21}{5},\frac{3\times 1}{2\times 6})$$

Mahia ngā whakarea i roto i te hautanga \frac{3\times 1}{2\times 6}.

$$sort(\frac{21}{5},\frac{3}{12})$$

Whakahekea te hautanga \frac{3}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$sort(\frac{21}{5},\frac{1}{4})$$

Ko te tauraro noa iti rawa atu o ngā tau i te rārangi \frac{21}{5},\frac{1}{4} ko 20. Tahuritia ngā tau i te rārangi ki te hautanga me te tauraro 20.

$$\frac{84}{20},\frac{5}{20}$$

Hei kōmaka i te rārangi, me tīmata mai i tētahi huānga \frac{84}{20} kotahi.

$$\frac{84}{20}$$

Me kōkuhu te \frac{5}{20} ki te tauwāhi tika i te rārangi hōu.

$$\frac{5}{20},\frac{84}{20}$$

Whakakapia ngā hautanga i whiwhi ki ngā uara tīmata.

$$\frac{1}{4},\frac{21}{5}$$

Aromātai

$$\frac{21}{5},\ \frac{1}{4}$$