Whakaoti i te 929/24-(5/24-4/9)

$$9 \frac { 29 } { 24 } - ( \frac { 5 } { 24 } - \frac { 4 } { 9 } )$$

Aromātai

$$\frac{94}{9}\approx 10.444444444$$

Ngā Upane Otinga

Whakareatia te 9 ki te 24, ka 216.

$$\frac{216+29}{24}-\left(\frac{5}{24}-\frac{4}{9}\right)$$

Tāpirihia te 216 ki te 29, ka 245.

$$\frac{245}{24}-\left(\frac{5}{24}-\frac{4}{9}\right)$$

Ko te maha noa iti rawa atu o 24 me 9 ko 72. Me tahuri \frac{5}{24} me \frac{4}{9} ki te hautau me te tautūnga 72.

$$\frac{245}{24}-\left(\frac{15}{72}-\frac{32}{72}\right)$$

Tā te mea he rite te tauraro o \frac{15}{72} me \frac{32}{72}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{245}{24}-\frac{15-32}{72}$$

Tangohia te 32 i te 15, ka -17.

$$\frac{245}{24}-\left(-\frac{17}{72}\right)$$

Ko te tauaro o -\frac{17}{72} ko \frac{17}{72}.

$$\frac{245}{24}+\frac{17}{72}$$

Ko te maha noa iti rawa atu o 24 me 72 ko 72. Me tahuri \frac{245}{24} me \frac{17}{72} ki te hautau me te tautūnga 72.

$$\frac{735}{72}+\frac{17}{72}$$

Tā te mea he rite te tauraro o \frac{735}{72} me \frac{17}{72}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{735+17}{72}$$

Tāpirihia te 735 ki te 17, ka 752.

$$\frac{752}{72}$$

Whakahekea te hautanga \frac{752}{72} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$\frac{94}{9}$$

Tauwehe

$$\frac{2 \cdot 47}{3 ^ {2}} = 10\frac{4}{9} = 10.444444444444445$$