Whakaoti i te 9-3/5+62/3(226/15)

$$9 - \frac { 3 } { 5 } + 6 \frac { 2 } { 3 } ( \frac { 226 } { 15 } )$$

Aromātai

$$\frac{4898}{45}\approx 108.844444444$$

Ngā Upane Otinga

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

$$\frac{45}{5}-\frac{3}{5}+\frac{6\times 3+2}{3}\times \frac{226}{15}$$

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.

$$\frac{45-3}{5}+\frac{6\times 3+2}{3}\times \frac{226}{15}$$

Tangohia te 3 i te 45, ka 42.

$$\frac{42}{5}+\frac{6\times 3+2}{3}\times \frac{226}{15}$$

Whakareatia te 6 ki te 3, ka 18.

$$\frac{42}{5}+\frac{18+2}{3}\times \frac{226}{15}$$

Tāpirihia te 18 ki te 2, ka 20.

$$\frac{42}{5}+\frac{20}{3}\times \frac{226}{15}$$

Me whakarea te \frac{20}{3} ki te \frac{226}{15} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{42}{5}+\frac{20\times 226}{3\times 15}$$

Mahia ngā whakarea i roto i te hautanga \frac{20\times 226}{3\times 15}.

$$\frac{42}{5}+\frac{4520}{45}$$

Whakahekea te hautanga \frac{4520}{45} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{42}{5}+\frac{904}{9}$$

Ko te maha noa iti rawa atu o 5 me 9 ko 45. Me tahuri \frac{42}{5} me \frac{904}{9} ki te hautau me te tautūnga 45.

$$\frac{378}{45}+\frac{4520}{45}$$

Tā te mea he rite te tauraro o \frac{378}{45} me \frac{4520}{45}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{378+4520}{45}$$

Tāpirihia te 378 ki te 4520, ka 4898.

$$\frac{4898}{45}$$

Tauwehe

$$\frac{2 \cdot 31 \cdot 79}{3 ^ {2} \cdot 5} = 108\frac{38}{45} = 108.84444444444445$$