Whakaoti i te 13/1:(10/9+25/9+4/9)=frac{15}{9}

$$\frac { 13 } { 1 } : ( \frac { 10 } { 9 } + \frac { 25 } { 9 } + \frac { 4 } { 9 } ) = \frac { 15 } { 9 }$$

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Ka whakawehea he tau ki te tahi, hua ai ko ia anō.

$$\frac{13}{\frac{10}{9}+\frac{25}{9}+\frac{4}{9}}=\frac{15}{9}$$

Tā te mea he rite te tauraro o \frac{10}{9} me \frac{25}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{13}{\frac{10+25}{9}+\frac{4}{9}}=\frac{15}{9}$$

Tāpirihia te 10 ki te 25, ka 35.

$$\frac{13}{\frac{35}{9}+\frac{4}{9}}=\frac{15}{9}$$

Tā te mea he rite te tauraro o \frac{35}{9} me \frac{4}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{13}{\frac{35+4}{9}}=\frac{15}{9}$$

Tāpirihia te 35 ki te 4, ka 39.

$$\frac{13}{\frac{39}{9}}=\frac{15}{9}$$

Whakahekea te hautanga \frac{39}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{13}{\frac{13}{3}}=\frac{15}{9}$$

Whakawehe 13 ki te \frac{13}{3} mā te whakarea 13 ki te tau huripoki o \frac{13}{3}.

$$13\times \frac{3}{13}=\frac{15}{9}$$

Me whakakore te 13 me te 13.

$$3=\frac{15}{9}$$

Whakahekea te hautanga \frac{15}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$3=\frac{5}{3}$$

Me tahuri te 3 ki te hautau \frac{9}{3}.

$$\frac{9}{3}=\frac{5}{3}$$

Whakatauritea te \frac{9}{3} me te \frac{5}{3}.

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