Whakaoti i te 1125+12/3-25/6*-8/27

$$1125+ 1 \frac { 2 } { 3 } - 2 \frac { 5 } { 6 } \times - \frac{ 8 }{ 27 }$$

Aromātai

$$\frac{91328}{81}\approx 1127.50617284$$

Ngā Upane Otinga

Whakareatia te 1 ki te 3, ka 3.

$$1125+\frac{3+2}{3}-\frac{2\times 6+5}{6}\left(-\frac{8}{27}\right)$$

Tāpirihia te 3 ki te 2, ka 5.

$$1125+\frac{5}{3}-\frac{2\times 6+5}{6}\left(-\frac{8}{27}\right)$$

Me tahuri te 1125 ki te hautau \frac{3375}{3}.

$$\frac{3375}{3}+\frac{5}{3}-\frac{2\times 6+5}{6}\left(-\frac{8}{27}\right)$$

Tā te mea he rite te tauraro o \frac{3375}{3} me \frac{5}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3375+5}{3}-\frac{2\times 6+5}{6}\left(-\frac{8}{27}\right)$$

Tāpirihia te 3375 ki te 5, ka 3380.

$$\frac{3380}{3}-\frac{2\times 6+5}{6}\left(-\frac{8}{27}\right)$$

Whakareatia te 2 ki te 6, ka 12.

$$\frac{3380}{3}-\frac{12+5}{6}\left(-\frac{8}{27}\right)$$

Tāpirihia te 12 ki te 5, ka 17.

$$\frac{3380}{3}-\frac{17}{6}\left(-\frac{8}{27}\right)$$

Me whakarea te \frac{17}{6} ki te -\frac{8}{27} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{3380}{3}-\frac{17\left(-8\right)}{6\times 27}$$

Mahia ngā whakarea i roto i te hautanga \frac{17\left(-8\right)}{6\times 27}.

$$\frac{3380}{3}-\frac{-136}{162}$$

Whakahekea te hautanga \frac{-136}{162} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{3380}{3}-\left(-\frac{68}{81}\right)$$

Ko te tauaro o -\frac{68}{81} ko \frac{68}{81}.

$$\frac{3380}{3}+\frac{68}{81}$$

Ko te maha noa iti rawa atu o 3 me 81 ko 81. Me tahuri \frac{3380}{3} me \frac{68}{81} ki te hautau me te tautūnga 81.

$$\frac{91260}{81}+\frac{68}{81}$$

Tā te mea he rite te tauraro o \frac{91260}{81} me \frac{68}{81}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{91260+68}{81}$$

Tāpirihia te 91260 ki te 68, ka 91328.

$$\frac{91328}{81}$$

Tauwehe

$$\frac{2 ^ {6} \cdot 1427}{3 ^ {4}} = 1127\frac{41}{81} = 1127.5061728395062$$