Whakaoti i te (3/4+2/1)div(3/1-13/8)-(-frac{11}{6}-(frac{2}{7}+frac{1}{1})div(-frac{5}{14})+frac{1}{30})-(-frac{1}{4})

$$( \frac{ 3 }{ 4 } + \frac{ 2 }{ 1 } ) \div ( \frac{ 3 }{ 1 } - \frac{ 13 }{ 8 } )-(- \frac{ 11 }{ 6 } -( \frac{ 2 }{ 7 } + \frac{ 1 }{ 1 } ) \div (- \frac{ 5 }{ 14 } )+ \frac{ 1 }{ 30 } )-(- \frac{ 1 }{ 4 } )$$

Aromātai

$$\frac{9}{20}=0.45$$

Ngā Upane Otinga

Whakawehea te 1 ki te 1, kia riro ko 1.

$$\frac{\frac{3}{4}+\frac{2}{1}}{\frac{3}{1}-\frac{13}{8}}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

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

$$\frac{\frac{3}{4}+2}{\frac{3}{1}-\frac{13}{8}}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Me tahuri te 2 ki te hautau \frac{8}{4}.

$$\frac{\frac{3}{4}+\frac{8}{4}}{\frac{3}{1}-\frac{13}{8}}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Tā te mea he rite te tauraro o \frac{3}{4} me \frac{8}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{3+8}{4}}{\frac{3}{1}-\frac{13}{8}}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Tāpirihia te 3 ki te 8, ka 11.

$$\frac{\frac{11}{4}}{\frac{3}{1}-\frac{13}{8}}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

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

$$\frac{\frac{11}{4}}{3-\frac{13}{8}}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Me tahuri te 3 ki te hautau \frac{24}{8}.

$$\frac{\frac{11}{4}}{\frac{24}{8}-\frac{13}{8}}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Tā te mea he rite te tauraro o \frac{24}{8} me \frac{13}{8}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{11}{4}}{\frac{24-13}{8}}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Tangohia te 13 i te 24, ka 11.

$$\frac{\frac{11}{4}}{\frac{11}{8}}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Whakawehe \frac{11}{4} ki te \frac{11}{8} mā te whakarea \frac{11}{4} ki te tau huripoki o \frac{11}{8}.

$$\frac{11}{4}\times \frac{8}{11}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Me whakarea te \frac{11}{4} ki te \frac{8}{11} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{11\times 8}{4\times 11}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Me whakakore tahi te 11 i te taurunga me te tauraro.

$$\frac{8}{4}-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Whakawehea te 8 ki te 4, kia riro ko 2.

$$2-\left(-\frac{11}{6}-\frac{\frac{2}{7}+1}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Me tahuri te 1 ki te hautau \frac{7}{7}.

$$2-\left(-\frac{11}{6}-\frac{\frac{2}{7}+\frac{7}{7}}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Tā te mea he rite te tauraro o \frac{2}{7} me \frac{7}{7}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$2-\left(-\frac{11}{6}-\frac{\frac{2+7}{7}}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Tāpirihia te 2 ki te 7, ka 9.

$$2-\left(-\frac{11}{6}-\frac{\frac{9}{7}}{-\frac{5}{14}}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Whakawehe \frac{9}{7} ki te -\frac{5}{14} mā te whakarea \frac{9}{7} ki te tau huripoki o -\frac{5}{14}.

$$2-\left(-\frac{11}{6}-\frac{9}{7}\left(-\frac{14}{5}\right)+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Me whakarea te \frac{9}{7} ki te -\frac{14}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$2-\left(-\frac{11}{6}-\frac{9\left(-14\right)}{7\times 5}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{9\left(-14\right)}{7\times 5}.

$$2-\left(-\frac{11}{6}-\frac{-126}{35}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Whakahekea te hautanga \frac{-126}{35} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$2-\left(-\frac{11}{6}-\left(-\frac{18}{5}\right)+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Ko te tauaro o -\frac{18}{5} ko \frac{18}{5}.

$$2-\left(-\frac{11}{6}+\frac{18}{5}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Ko te maha noa iti rawa atu o 6 me 5 ko 30. Me tahuri -\frac{11}{6} me \frac{18}{5} ki te hautau me te tautūnga 30.

$$2-\left(-\frac{55}{30}+\frac{108}{30}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Tā te mea he rite te tauraro o -\frac{55}{30} me \frac{108}{30}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$2-\left(\frac{-55+108}{30}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Tāpirihia te -55 ki te 108, ka 53.

$$2-\left(\frac{53}{30}+\frac{1}{30}\right)-\left(-\frac{1}{4}\right)$$

Tā te mea he rite te tauraro o \frac{53}{30} me \frac{1}{30}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$2-\frac{53+1}{30}-\left(-\frac{1}{4}\right)$$

Tāpirihia te 53 ki te 1, ka 54.

$$2-\frac{54}{30}-\left(-\frac{1}{4}\right)$$

Whakahekea te hautanga \frac{54}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$2-\frac{9}{5}-\left(-\frac{1}{4}\right)$$

Me tahuri te 2 ki te hautau \frac{10}{5}.

$$\frac{10}{5}-\frac{9}{5}-\left(-\frac{1}{4}\right)$$

Tā te mea he rite te tauraro o \frac{10}{5} me \frac{9}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{10-9}{5}-\left(-\frac{1}{4}\right)$$

Tangohia te 9 i te 10, ka 1.

$$\frac{1}{5}-\left(-\frac{1}{4}\right)$$

Ko te tauaro o -\frac{1}{4} ko \frac{1}{4}.

$$\frac{1}{5}+\frac{1}{4}$$

Ko te maha noa iti rawa atu o 5 me 4 ko 20. Me tahuri \frac{1}{5} me \frac{1}{4} ki te hautau me te tautūnga 20.

$$\frac{4}{20}+\frac{5}{20}$$

Tā te mea he rite te tauraro o \frac{4}{20} me \frac{5}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{4+5}{20}$$

Tāpirihia te 4 ki te 5, ka 9.

$$\frac{9}{20}$$

Tauwehe

$$\frac{3 ^ {2}}{2 ^ {2} \cdot 5} = 0.45$$