Whakaoti i te 22/3-(-5/8)-11/2*8/9

$$2 \frac { 2 } { 3 } - ( - \frac { 5 } { 8 } ) - 1 \frac { 1 } { 2 } \times \frac { 8 } { 9 }$$

Aromātai

$$\frac{47}{24}\approx 1.958333333$$

Ngā Upane Otinga

Whakareatia te 2 ki te 3, ka 6.

$$\frac{6+2}{3}-\left(-\frac{5}{8}\right)-\frac{1\times 2+1}{2}\times \frac{8}{9}$$

Tāpirihia te 6 ki te 2, ka 8.

$$\frac{8}{3}-\left(-\frac{5}{8}\right)-\frac{1\times 2+1}{2}\times \frac{8}{9}$$

Ko te tauaro o -\frac{5}{8} ko \frac{5}{8}.

$$\frac{8}{3}+\frac{5}{8}-\frac{1\times 2+1}{2}\times \frac{8}{9}$$

Ko te maha noa iti rawa atu o 3 me 8 ko 24. Me tahuri \frac{8}{3} me \frac{5}{8} ki te hautau me te tautūnga 24.

$$\frac{64}{24}+\frac{15}{24}-\frac{1\times 2+1}{2}\times \frac{8}{9}$$

Tā te mea he rite te tauraro o \frac{64}{24} me \frac{15}{24}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{64+15}{24}-\frac{1\times 2+1}{2}\times \frac{8}{9}$$

Tāpirihia te 64 ki te 15, ka 79.

$$\frac{79}{24}-\frac{1\times 2+1}{2}\times \frac{8}{9}$$

Whakareatia te 1 ki te 2, ka 2.

$$\frac{79}{24}-\frac{2+1}{2}\times \frac{8}{9}$$

Tāpirihia te 2 ki te 1, ka 3.

$$\frac{79}{24}-\frac{3}{2}\times \frac{8}{9}$$

Me whakarea te \frac{3}{2} ki te \frac{8}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{79}{24}-\frac{3\times 8}{2\times 9}$$

Mahia ngā whakarea i roto i te hautanga \frac{3\times 8}{2\times 9}.

$$\frac{79}{24}-\frac{24}{18}$$

Whakahekea te hautanga \frac{24}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{79}{24}-\frac{4}{3}$$

Ko te maha noa iti rawa atu o 24 me 3 ko 24. Me tahuri \frac{79}{24} me \frac{4}{3} ki te hautau me te tautūnga 24.

$$\frac{79}{24}-\frac{32}{24}$$

Tā te mea he rite te tauraro o \frac{79}{24} me \frac{32}{24}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{79-32}{24}$$

Tangohia te 32 i te 79, ka 47.

$$\frac{47}{24}$$

Tauwehe

$$\frac{47}{2 ^ {3} \cdot 3} = 1\frac{23}{24} = 1.9583333333333333$$