Whakaoti i te {l}{247/38-171/38}{157/10-24/10+6frac{1}{10}}

$$\left. \begin{array} { l } { 24 \frac { 7 } { 38 } - 17 \frac { 1 } { 38 } } \\ { 15 \frac { 7 } { 10 } - 2 \frac { 4 } { 10 } + 6 \frac { 1 } { 10 } } \end{array} \right.$$

Kōmaka

$$\frac{136}{19},\ \frac{97}{5}$$

Ngā Upane Otinga

Whakareatia te 24 ki te 38, ka 912.

$$sort(\frac{912+7}{38}-\frac{17\times 38+1}{38},\frac{15\times 10+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})$$

Tāpirihia te 912 ki te 7, ka 919.

$$sort(\frac{919}{38}-\frac{17\times 38+1}{38},\frac{15\times 10+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})$$

Whakareatia te 17 ki te 38, ka 646.

$$sort(\frac{919}{38}-\frac{646+1}{38},\frac{15\times 10+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})$$

Tāpirihia te 646 ki te 1, ka 647.

$$sort(\frac{919}{38}-\frac{647}{38},\frac{15\times 10+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})$$

Tā te mea he rite te tauraro o \frac{919}{38} me \frac{647}{38}, me tango rāua mā te tango i ō raua taurunga.

$$sort(\frac{919-647}{38},\frac{15\times 10+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})$$

Tangohia te 647 i te 919, ka 272.

$$sort(\frac{272}{38},\frac{15\times 10+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})$$

Whakahekea te hautanga \frac{272}{38} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$sort(\frac{136}{19},\frac{15\times 10+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})$$

Whakareatia te 15 ki te 10, ka 150.

$$sort(\frac{136}{19},\frac{150+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})$$

Tāpirihia te 150 ki te 7, ka 157.

$$sort(\frac{136}{19},\frac{157}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})$$

Whakareatia te 2 ki te 10, ka 20.

$$sort(\frac{136}{19},\frac{157}{10}-\frac{20+4}{10}+\frac{6\times 10+1}{10})$$

Tāpirihia te 20 ki te 4, ka 24.

$$sort(\frac{136}{19},\frac{157}{10}-\frac{24}{10}+\frac{6\times 10+1}{10})$$

Tā te mea he rite te tauraro o \frac{157}{10} me \frac{24}{10}, me tango rāua mā te tango i ō raua taurunga.

$$sort(\frac{136}{19},\frac{157-24}{10}+\frac{6\times 10+1}{10})$$

Tangohia te 24 i te 157, ka 133.

$$sort(\frac{136}{19},\frac{133}{10}+\frac{6\times 10+1}{10})$$

Whakareatia te 6 ki te 10, ka 60.

$$sort(\frac{136}{19},\frac{133}{10}+\frac{60+1}{10})$$

Tāpirihia te 60 ki te 1, ka 61.

$$sort(\frac{136}{19},\frac{133}{10}+\frac{61}{10})$$

Tā te mea he rite te tauraro o \frac{133}{10} me \frac{61}{10}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$sort(\frac{136}{19},\frac{133+61}{10})$$

Tāpirihia te 133 ki te 61, ka 194.

$$sort(\frac{136}{19},\frac{194}{10})$$

Whakahekea te hautanga \frac{194}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$sort(\frac{136}{19},\frac{97}{5})$$

Ko te tauraro noa iti rawa atu o ngā tau i te rārangi \frac{136}{19},\frac{97}{5} ko 95. Tahuritia ngā tau i te rārangi ki te hautanga me te tauraro 95.

$$\frac{680}{95},\frac{1843}{95}$$

Aromātai

$$\frac{136}{19},\ \frac{97}{5}$$