Whakaoti i te 10/1-141/100-47/9+453/100

$$\frac{ 10 }{ 1 } - \frac{ 141 }{ 100 } - \frac{ 47 }{ 9 } + \frac{ 453 }{ 100 }$$

Aromātai

$$\frac{1777}{225}\approx 7.897777778$$

Ngā Upane Otinga

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

$$10-\frac{141}{100}-\frac{47}{9}+\frac{453}{100}$$

Me tahuri te 10 ki te hautau \frac{1000}{100}.

$$\frac{1000}{100}-\frac{141}{100}-\frac{47}{9}+\frac{453}{100}$$

Tā te mea he rite te tauraro o \frac{1000}{100} me \frac{141}{100}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1000-141}{100}-\frac{47}{9}+\frac{453}{100}$$

Tangohia te 141 i te 1000, ka 859.

$$\frac{859}{100}-\frac{47}{9}+\frac{453}{100}$$

Ko te maha noa iti rawa atu o 100 me 9 ko 900. Me tahuri \frac{859}{100} me \frac{47}{9} ki te hautau me te tautūnga 900.

$$\frac{7731}{900}-\frac{4700}{900}+\frac{453}{100}$$

Tā te mea he rite te tauraro o \frac{7731}{900} me \frac{4700}{900}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{7731-4700}{900}+\frac{453}{100}$$

Tangohia te 4700 i te 7731, ka 3031.

$$\frac{3031}{900}+\frac{453}{100}$$

Ko te maha noa iti rawa atu o 900 me 100 ko 900. Me tahuri \frac{3031}{900} me \frac{453}{100} ki te hautau me te tautūnga 900.

$$\frac{3031}{900}+\frac{4077}{900}$$

Tā te mea he rite te tauraro o \frac{3031}{900} me \frac{4077}{900}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3031+4077}{900}$$

Tāpirihia te 3031 ki te 4077, ka 7108.

$$\frac{7108}{900}$$

Whakahekea te hautanga \frac{7108}{900} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{1777}{225}$$

Tauwehe

$$\frac{1777}{3 ^ {2} \cdot 5 ^ {2}} = 7\frac{202}{225} = 7.897777777777778$$