Whakaoti i te (7/8+0.25-1/3)div1/11

$$( \frac { 7 } { 8 } + 0.25 - \frac { 1 } { 3 } ) \div \frac { 1 } { 11 }$$

Aromātai

$$\frac{209}{24}\approx 8.708333333$$

Ngā Upane Otinga

Me tahuri ki tau ā-ira 0.25 ki te hautau \frac{25}{100}. Whakahekea te hautanga \frac{25}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 25.

$$\frac{\frac{7}{8}+\frac{1}{4}-\frac{1}{3}}{\frac{1}{11}}$$

Ko te maha noa iti rawa atu o 8 me 4 ko 8. Me tahuri \frac{7}{8} me \frac{1}{4} ki te hautau me te tautūnga 8.

$$\frac{\frac{7}{8}+\frac{2}{8}-\frac{1}{3}}{\frac{1}{11}}$$

Tā te mea he rite te tauraro o \frac{7}{8} me \frac{2}{8}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{7+2}{8}-\frac{1}{3}}{\frac{1}{11}}$$

Tāpirihia te 7 ki te 2, ka 9.

$$\frac{\frac{9}{8}-\frac{1}{3}}{\frac{1}{11}}$$

Ko te maha noa iti rawa atu o 8 me 3 ko 24. Me tahuri \frac{9}{8} me \frac{1}{3} ki te hautau me te tautūnga 24.

$$\frac{\frac{27}{24}-\frac{8}{24}}{\frac{1}{11}}$$

Tā te mea he rite te tauraro o \frac{27}{24} me \frac{8}{24}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{27-8}{24}}{\frac{1}{11}}$$

Tangohia te 8 i te 27, ka 19.

$$\frac{\frac{19}{24}}{\frac{1}{11}}$$

Whakawehe \frac{19}{24} ki te \frac{1}{11} mā te whakarea \frac{19}{24} ki te tau huripoki o \frac{1}{11}.

$$\frac{19}{24}\times 11$$

Tuhia te \frac{19}{24}\times 11 hei hautanga kotahi.

$$\frac{19\times 11}{24}$$

Whakareatia te 19 ki te 11, ka 209.

$$\frac{209}{24}$$

Tauwehe

$$\frac{11 \cdot 19}{3 \cdot 2 ^ {3}} = 8\frac{17}{24} = 8.708333333333334$$