Whakaoti i te 9-3/5+62/3(206/15)

$$9 - \frac { 3 } { 5 } + 6 \frac { 2 } { 3 } ( \frac { 206 } { 15 } )$$

Aromātai

$$\frac{4498}{45}\approx 99.955555556$$

Ngā Upane Otinga

Me tahuri te 9 ki te hautau \frac{45}{5}.

$$\frac{45}{5}-\frac{3}{5}+\frac{6\times 3+2}{3}\times \frac{206}{15}$$

Tā te mea he rite te tauraro o \frac{45}{5} me \frac{3}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{45-3}{5}+\frac{6\times 3+2}{3}\times \frac{206}{15}$$

Tangohia te 3 i te 45, ka 42.

$$\frac{42}{5}+\frac{6\times 3+2}{3}\times \frac{206}{15}$$

Whakareatia te 6 ki te 3, ka 18.

$$\frac{42}{5}+\frac{18+2}{3}\times \frac{206}{15}$$

Tāpirihia te 18 ki te 2, ka 20.

$$\frac{42}{5}+\frac{20}{3}\times \frac{206}{15}$$

Me whakarea te \frac{20}{3} ki te \frac{206}{15} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{42}{5}+\frac{20\times 206}{3\times 15}$$

Mahia ngā whakarea i roto i te hautanga \frac{20\times 206}{3\times 15}.

$$\frac{42}{5}+\frac{4120}{45}$$

Whakahekea te hautanga \frac{4120}{45} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{42}{5}+\frac{824}{9}$$

Ko te maha noa iti rawa atu o 5 me 9 ko 45. Me tahuri \frac{42}{5} me \frac{824}{9} ki te hautau me te tautūnga 45.

$$\frac{378}{45}+\frac{4120}{45}$$

Tā te mea he rite te tauraro o \frac{378}{45} me \frac{4120}{45}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{378+4120}{45}$$

Tāpirihia te 378 ki te 4120, ka 4498.

$$\frac{4498}{45}$$

Tauwehe

$$\frac{2 \cdot 13 \cdot 173}{3 ^ {2} \cdot 5} = 99\frac{43}{45} = 99.95555555555555$$