Whakaoti i te 13/1/frac{10{9}+25/9+4/9}-frac{15}{9}

$$\frac{ \frac{ 13 }{ 1 } }{ \frac{ 10 }{ 9 } + \frac{ 25 }{ 9 } + \frac{ 4 }{ 9 } } - \frac{ 15 }{ 9 }$$

Aromātai

$$\frac{4}{3}\approx 1.333333333$$

Ngā Upane Otinga

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}.

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

Tā te mea he rite te tauraro o \frac{9}{3} me \frac{5}{3}, me tango rāua mā te tango i ō raua taurunga.

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

Tangohia te 5 i te 9, ka 4.

$$\frac{4}{3}$$

Tauwehe

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$