Whakaoti i te 1/12+(45/12-35)div11/24

$$\frac { 1 } { 12 } + ( 4 \frac { 5 } { 12 } - 35 ) \div \frac { 11 } { 24 }$$

Aromātai

$$-\frac{8797}{132}\approx -66.643939394$$

Ngā Upane Otinga

Whakareatia te 4 ki te 12, ka 48.

$$\frac{1}{12}+\frac{\frac{48+5}{12}-35}{\frac{11}{24}}$$

Tāpirihia te 48 ki te 5, ka 53.

$$\frac{1}{12}+\frac{\frac{53}{12}-35}{\frac{11}{24}}$$

Me tahuri te 35 ki te hautau \frac{420}{12}.

$$\frac{1}{12}+\frac{\frac{53}{12}-\frac{420}{12}}{\frac{11}{24}}$$

Tā te mea he rite te tauraro o \frac{53}{12} me \frac{420}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{12}+\frac{\frac{53-420}{12}}{\frac{11}{24}}$$

Tangohia te 420 i te 53, ka -367.

$$\frac{1}{12}+\frac{-\frac{367}{12}}{\frac{11}{24}}$$

Whakawehe -\frac{367}{12} ki te \frac{11}{24} mā te whakarea -\frac{367}{12} ki te tau huripoki o \frac{11}{24}.

$$\frac{1}{12}-\frac{367}{12}\times \frac{24}{11}$$

Me whakarea te -\frac{367}{12} ki te \frac{24}{11} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1}{12}+\frac{-367\times 24}{12\times 11}$$

Mahia ngā whakarea i roto i te hautanga \frac{-367\times 24}{12\times 11}.

$$\frac{1}{12}+\frac{-8808}{132}$$

Whakahekea te hautanga \frac{-8808}{132} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 12.

$$\frac{1}{12}-\frac{734}{11}$$

Ko te maha noa iti rawa atu o 12 me 11 ko 132. Me tahuri \frac{1}{12} me \frac{734}{11} ki te hautau me te tautūnga 132.

$$\frac{11}{132}-\frac{8808}{132}$$

Tā te mea he rite te tauraro o \frac{11}{132} me \frac{8808}{132}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{11-8808}{132}$$

Tangohia te 8808 i te 11, ka -8797.

$$-\frac{8797}{132}$$

Tauwehe

$$-\frac{8797}{132} = -66\frac{85}{132} = -66.64393939393939$$