Whakaoti i te (6.25-3.75)*0.8/(4-2.75):6.25+(2.5+0.75):3.25/(40-38.8)*5

$$\frac { ( 6.25 - 3.75 ) \cdot 0.8 } { ( 4 - 2.75 ) : 6.25 } + \frac { ( 2.5 + 0.75 ) : 3.25 } { ( 40 - 38.8 ) \cdot 5 }$$

Aromātai

$$\frac{61}{6}\approx 10.166666667$$

Ngā Upane Otinga

Tangohia te 3.75 i te 6.25, ka 2.5.

$$\frac{2.5\times 0.8}{\frac{4-2.75}{6.25}}+\frac{\frac{2.5+0.75}{3.25}}{\left(40-38.8\right)\times 5}$$

Whakareatia te 2.5 ki te 0.8, ka 2.

$$\frac{2}{\frac{4-2.75}{6.25}}+\frac{\frac{2.5+0.75}{3.25}}{\left(40-38.8\right)\times 5}$$

Tangohia te 2.75 i te 4, ka 1.25.

$$\frac{2}{\frac{1.25}{6.25}}+\frac{\frac{2.5+0.75}{3.25}}{\left(40-38.8\right)\times 5}$$

Whakarohaina te \frac{1.25}{6.25} mā te whakarea i te taurunga me te tauraro ki te 100.

$$\frac{2}{\frac{125}{625}}+\frac{\frac{2.5+0.75}{3.25}}{\left(40-38.8\right)\times 5}$$

Whakahekea te hautanga \frac{125}{625} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 125.

$$\frac{2}{\frac{1}{5}}+\frac{\frac{2.5+0.75}{3.25}}{\left(40-38.8\right)\times 5}$$

Whakawehe 2 ki te \frac{1}{5} mā te whakarea 2 ki te tau huripoki o \frac{1}{5}.

$$2\times 5+\frac{\frac{2.5+0.75}{3.25}}{\left(40-38.8\right)\times 5}$$

Whakareatia te 2 ki te 5, ka 10.

$$10+\frac{\frac{2.5+0.75}{3.25}}{\left(40-38.8\right)\times 5}$$

Tāpirihia te 2.5 ki te 0.75, ka 3.25.

$$10+\frac{\frac{3.25}{3.25}}{\left(40-38.8\right)\times 5}$$

Whakawehea te 3.25 ki te 3.25, kia riro ko 1.

$$10+\frac{1}{\left(40-38.8\right)\times 5}$$

Tangohia te 38.8 i te 40, ka 1.2.

$$10+\frac{1}{1.2\times 5}$$

Whakareatia te 1.2 ki te 5, ka 6.

$$10+\frac{1}{6}$$

Me tahuri te 10 ki te hautau \frac{60}{6}.

$$\frac{60}{6}+\frac{1}{6}$$

Tā te mea he rite te tauraro o \frac{60}{6} me \frac{1}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{60+1}{6}$$

Tāpirihia te 60 ki te 1, ka 61.

$$\frac{61}{6}$$

Tauwehe

$$\frac{61}{2 \cdot 3} = 10\frac{1}{6} = 10.166666666666666$$