Whakaoti i te 1/3+5/6-1/9quad8/15

$$\frac { 1 } { 3 } + \frac { 5 } { 6 } - \frac { 1 } { 9 } \quad \frac { 8 } { 15 }$$

Aromātai

$$\frac{299}{270}\approx 1.107407407$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 3 me 6 ko 6. Me tahuri \frac{1}{3} me \frac{5}{6} ki te hautau me te tautūnga 6.

$$\frac{2}{6}+\frac{5}{6}-\frac{1}{9}\times \frac{8}{15}$$

Tā te mea he rite te tauraro o \frac{2}{6} me \frac{5}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{2+5}{6}-\frac{1}{9}\times \frac{8}{15}$$

Tāpirihia te 2 ki te 5, ka 7.

$$\frac{7}{6}-\frac{1}{9}\times \frac{8}{15}$$

Me whakarea te \frac{1}{9} ki te \frac{8}{15} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{7}{6}-\frac{1\times 8}{9\times 15}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 8}{9\times 15}.

$$\frac{7}{6}-\frac{8}{135}$$

Ko te maha noa iti rawa atu o 6 me 135 ko 270. Me tahuri \frac{7}{6} me \frac{8}{135} ki te hautau me te tautūnga 270.

$$\frac{315}{270}-\frac{16}{270}$$

Tā te mea he rite te tauraro o \frac{315}{270} me \frac{16}{270}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{315-16}{270}$$

Tangohia te 16 i te 315, ka 299.

$$\frac{299}{270}$$

Tauwehe

$$\frac{13 \cdot 23}{2 \cdot 3 ^ {3} \cdot 5} = 1\frac{29}{270} = 1.1074074074074074$$