Whakaoti i te 1.1*2.5+1.1^2div111.1*(2.5+1.1^2)div11

$$1.1 \times 2.5+ { 1.1 }^{ 2 } \div 111.1 \times (2.5+ { 1.1 }^{ 2 } ) \div 11$$

Aromātai

$$\frac{278121}{101000}\approx 2.753673267$$

Ngā Upane Otinga

Whakareatia te 1.1 ki te 2.5, ka 2.75.

$$2.75+\frac{\frac{1.1^{2}}{111.1}\left(2.5+1.1^{2}\right)}{11}$$

Tātaihia te 1.1 mā te pū o 2, kia riro ko 1.21.

$$2.75+\frac{\frac{1.21}{111.1}\left(2.5+1.1^{2}\right)}{11}$$

Whakarohaina te \frac{1.21}{111.1} mā te whakarea i te taurunga me te tauraro ki te 100.

$$2.75+\frac{\frac{121}{11110}\left(2.5+1.1^{2}\right)}{11}$$

Whakahekea te hautanga \frac{121}{11110} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 11.

$$2.75+\frac{\frac{11}{1010}\left(2.5+1.1^{2}\right)}{11}$$

Tātaihia te 1.1 mā te pū o 2, kia riro ko 1.21.

$$2.75+\frac{\frac{11}{1010}\left(2.5+1.21\right)}{11}$$

Tāpirihia te 2.5 ki te 1.21, ka 3.71.

$$2.75+\frac{\frac{11}{1010}\times 3.71}{11}$$

Me tahuri ki tau ā-ira 3.71 ki te hautau \frac{371}{100}.

$$2.75+\frac{\frac{11}{1010}\times \frac{371}{100}}{11}$$

Me whakarea te \frac{11}{1010} ki te \frac{371}{100} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$2.75+\frac{\frac{11\times 371}{1010\times 100}}{11}$$

Mahia ngā whakarea i roto i te hautanga \frac{11\times 371}{1010\times 100}.

$$2.75+\frac{\frac{4081}{101000}}{11}$$

Tuhia te \frac{\frac{4081}{101000}}{11} hei hautanga kotahi.

$$2.75+\frac{4081}{101000\times 11}$$

Whakareatia te 101000 ki te 11, ka 1111000.

$$2.75+\frac{4081}{1111000}$$

Whakahekea te hautanga \frac{4081}{1111000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 11.

$$2.75+\frac{371}{101000}$$

Me tahuri ki tau ā-ira 2.75 ki te hautau \frac{275}{100}. Whakahekea te hautanga \frac{275}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 25.

$$\frac{11}{4}+\frac{371}{101000}$$

Ko te maha noa iti rawa atu o 4 me 101000 ko 101000. Me tahuri \frac{11}{4} me \frac{371}{101000} ki te hautau me te tautūnga 101000.

$$\frac{277750}{101000}+\frac{371}{101000}$$

Tā te mea he rite te tauraro o \frac{277750}{101000} me \frac{371}{101000}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{277750+371}{101000}$$

Tāpirihia te 277750 ki te 371, ka 278121.

$$\frac{278121}{101000}$$

Tauwehe

$$\frac{3 \cdot 92707}{101 \cdot 2 ^ {3} \cdot 5 ^ {3}} = 2\frac{76121}{101000} = 2.753673267326733$$