Whakaoti i te 58/10div(13/6-25/90+7/90-frac{3}{90})+(frac{26}{10}+frac{2}{9}*frac{36}{10})divfrac{34}{90}=

$$\frac{ 58 }{ 10 } \div ( \frac{ 13 }{ 6 } - \frac{ 25 }{ 90 } + \frac{ 7 }{ 90 } - \frac{ 3 }{ 90 } )+( \frac{ 26 }{ 10 } + \frac{ 2 }{ 9 } \times \frac{ 36 }{ 10 } ) \div \frac{ 34 }{ 90 } =$$

Aromātai

$$12$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{58}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{29}{5}}{\frac{13}{6}-\frac{25}{90}+\frac{7}{90}-\frac{3}{90}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

Whakahekea te hautanga \frac{25}{90} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{\frac{29}{5}}{\frac{13}{6}-\frac{5}{18}+\frac{7}{90}-\frac{3}{90}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

Ko te maha noa iti rawa atu o 6 me 18 ko 18. Me tahuri \frac{13}{6} me \frac{5}{18} ki te hautau me te tautūnga 18.

$$\frac{\frac{29}{5}}{\frac{39}{18}-\frac{5}{18}+\frac{7}{90}-\frac{3}{90}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

Tā te mea he rite te tauraro o \frac{39}{18} me \frac{5}{18}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{29}{5}}{\frac{39-5}{18}+\frac{7}{90}-\frac{3}{90}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

Tangohia te 5 i te 39, ka 34.

$$\frac{\frac{29}{5}}{\frac{34}{18}+\frac{7}{90}-\frac{3}{90}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

Whakahekea te hautanga \frac{34}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{29}{5}}{\frac{17}{9}+\frac{7}{90}-\frac{3}{90}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

Ko te maha noa iti rawa atu o 9 me 90 ko 90. Me tahuri \frac{17}{9} me \frac{7}{90} ki te hautau me te tautūnga 90.

$$\frac{\frac{29}{5}}{\frac{170}{90}+\frac{7}{90}-\frac{3}{90}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

Tā te mea he rite te tauraro o \frac{170}{90} me \frac{7}{90}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{29}{5}}{\frac{170+7}{90}-\frac{3}{90}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

Tāpirihia te 170 ki te 7, ka 177.

$$\frac{\frac{29}{5}}{\frac{177}{90}-\frac{3}{90}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

Whakahekea te hautanga \frac{177}{90} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{\frac{29}{5}}{\frac{59}{30}-\frac{3}{90}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

Whakahekea te hautanga \frac{3}{90} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{\frac{29}{5}}{\frac{59}{30}-\frac{1}{30}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

Tā te mea he rite te tauraro o \frac{59}{30} me \frac{1}{30}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{29}{5}}{\frac{59-1}{30}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

Tangohia te 1 i te 59, ka 58.

$$\frac{\frac{29}{5}}{\frac{58}{30}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

Whakahekea te hautanga \frac{58}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{29}{5}}{\frac{29}{15}}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

Whakawehe \frac{29}{5} ki te \frac{29}{15} mā te whakarea \frac{29}{5} ki te tau huripoki o \frac{29}{15}.

$$\frac{29}{5}\times \frac{15}{29}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

Me whakarea te \frac{29}{5} ki te \frac{15}{29} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{29\times 15}{5\times 29}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

Me whakakore tahi te 29 i te taurunga me te tauraro.

$$\frac{15}{5}+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

Whakawehea te 15 ki te 5, kia riro ko 3.

$$3+\frac{\frac{26}{10}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

Whakahekea te hautanga \frac{26}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$3+\frac{\frac{13}{5}+\frac{2}{9}\times \frac{36}{10}}{\frac{34}{90}}$$

Whakahekea te hautanga \frac{36}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$3+\frac{\frac{13}{5}+\frac{2}{9}\times \frac{18}{5}}{\frac{34}{90}}$$

Me whakarea te \frac{2}{9} ki te \frac{18}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$3+\frac{\frac{13}{5}+\frac{2\times 18}{9\times 5}}{\frac{34}{90}}$$

Mahia ngā whakarea i roto i te hautanga \frac{2\times 18}{9\times 5}.

$$3+\frac{\frac{13}{5}+\frac{36}{45}}{\frac{34}{90}}$$

Whakahekea te hautanga \frac{36}{45} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 9.

$$3+\frac{\frac{13}{5}+\frac{4}{5}}{\frac{34}{90}}$$

Tā te mea he rite te tauraro o \frac{13}{5} me \frac{4}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$3+\frac{\frac{13+4}{5}}{\frac{34}{90}}$$

Tāpirihia te 13 ki te 4, ka 17.

$$3+\frac{\frac{17}{5}}{\frac{34}{90}}$$

Whakahekea te hautanga \frac{34}{90} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$3+\frac{\frac{17}{5}}{\frac{17}{45}}$$

Whakawehe \frac{17}{5} ki te \frac{17}{45} mā te whakarea \frac{17}{5} ki te tau huripoki o \frac{17}{45}.

$$3+\frac{17}{5}\times \frac{45}{17}$$

Me whakarea te \frac{17}{5} ki te \frac{45}{17} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$3+\frac{17\times 45}{5\times 17}$$

Me whakakore tahi te 17 i te taurunga me te tauraro.

$$3+\frac{45}{5}$$

Whakawehea te 45 ki te 5, kia riro ko 9.

$$3+9$$

Tāpirihia te 3 ki te 9, ka 12.

$$12$$

Tauwehe

$$2^{2}\times 3$$