Whakaoti i te 1-{0.4*(11/3+0.75)-0.25}div12/3

$$1 - \{ 0.4 \times ( 1 \frac { 1 } { 3 } + 0.75 ) - 0.25 \} \div 1 \frac { 2 } { 3 }$$

Aromātai

$$0.65$$

Ngā Upane Otinga

Whakareatia te 1 ki te 3, ka 3.

$$1-\frac{0.4\left(\frac{3+1}{3}+0.75\right)-0.25}{\frac{1\times 3+2}{3}}$$

Tāpirihia te 3 ki te 1, ka 4.

$$1-\frac{0.4\left(\frac{4}{3}+0.75\right)-0.25}{\frac{1\times 3+2}{3}}$$

Me tahuri ki tau ā-ira 0.75 ki te hautau \frac{75}{100}. Whakahekea te hautanga \frac{75}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 25.

$$1-\frac{0.4\left(\frac{4}{3}+\frac{3}{4}\right)-0.25}{\frac{1\times 3+2}{3}}$$

Ko te maha noa iti rawa atu o 3 me 4 ko 12. Me tahuri \frac{4}{3} me \frac{3}{4} ki te hautau me te tautūnga 12.

$$1-\frac{0.4\left(\frac{16}{12}+\frac{9}{12}\right)-0.25}{\frac{1\times 3+2}{3}}$$

Tā te mea he rite te tauraro o \frac{16}{12} me \frac{9}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$1-\frac{0.4\times \frac{16+9}{12}-0.25}{\frac{1\times 3+2}{3}}$$

Tāpirihia te 16 ki te 9, ka 25.

$$1-\frac{0.4\times \frac{25}{12}-0.25}{\frac{1\times 3+2}{3}}$$

Me tahuri ki tau ā-ira 0.4 ki te hautau \frac{4}{10}. Whakahekea te hautanga \frac{4}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$1-\frac{\frac{2}{5}\times \frac{25}{12}-0.25}{\frac{1\times 3+2}{3}}$$

Me whakarea te \frac{2}{5} ki te \frac{25}{12} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$1-\frac{\frac{2\times 25}{5\times 12}-0.25}{\frac{1\times 3+2}{3}}$$

Mahia ngā whakarea i roto i te hautanga \frac{2\times 25}{5\times 12}.

$$1-\frac{\frac{50}{60}-0.25}{\frac{1\times 3+2}{3}}$$

Whakahekea te hautanga \frac{50}{60} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$1-\frac{\frac{5}{6}-0.25}{\frac{1\times 3+2}{3}}$$

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.

$$1-\frac{\frac{5}{6}-\frac{1}{4}}{\frac{1\times 3+2}{3}}$$

Ko te maha noa iti rawa atu o 6 me 4 ko 12. Me tahuri \frac{5}{6} me \frac{1}{4} ki te hautau me te tautūnga 12.

$$1-\frac{\frac{10}{12}-\frac{3}{12}}{\frac{1\times 3+2}{3}}$$

Tā te mea he rite te tauraro o \frac{10}{12} me \frac{3}{12}, me tango rāua mā te tango i ō raua taurunga.

$$1-\frac{\frac{10-3}{12}}{\frac{1\times 3+2}{3}}$$

Tangohia te 3 i te 10, ka 7.

$$1-\frac{\frac{7}{12}}{\frac{1\times 3+2}{3}}$$

Whakareatia te 1 ki te 3, ka 3.

$$1-\frac{\frac{7}{12}}{\frac{3+2}{3}}$$

Tāpirihia te 3 ki te 2, ka 5.

$$1-\frac{\frac{7}{12}}{\frac{5}{3}}$$

Whakawehe \frac{7}{12} ki te \frac{5}{3} mā te whakarea \frac{7}{12} ki te tau huripoki o \frac{5}{3}.

$$1-\frac{7}{12}\times \frac{3}{5}$$

Me whakarea te \frac{7}{12} ki te \frac{3}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$1-\frac{7\times 3}{12\times 5}$$

Mahia ngā whakarea i roto i te hautanga \frac{7\times 3}{12\times 5}.

$$1-\frac{21}{60}$$

Whakahekea te hautanga \frac{21}{60} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$1-\frac{7}{20}$$

Me tahuri te 1 ki te hautau \frac{20}{20}.

$$\frac{20}{20}-\frac{7}{20}$$

Tā te mea he rite te tauraro o \frac{20}{20} me \frac{7}{20}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{20-7}{20}$$

Tangohia te 7 i te 20, ka 13.

$$\frac{13}{20}$$

Tauwehe

$$\frac{13}{5 \cdot 2 ^ {2}} = 0.65$$