Whakaoti i te {2/3-(0.25div5/8)div3}div31/4

$$\{ \frac { 2 } { 3 } - ( 0.25 \div \frac { 5 } { 8 } ) \div 3 \} \div 3 \frac { 1 } { 4 }$$

Aromātai

$$\frac{32}{195}\approx 0.164102564$$

Ngā Upane Otinga

Tuhia te \frac{\frac{0.25}{\frac{5}{8}}}{3} hei hautanga kotahi.

$$\frac{\frac{2}{3}-\frac{0.25}{\frac{5}{8}\times 3}}{\frac{3\times 4+1}{4}}$$

Tuhia te \frac{5}{8}\times 3 hei hautanga kotahi.

$$\frac{\frac{2}{3}-\frac{0.25}{\frac{5\times 3}{8}}}{\frac{3\times 4+1}{4}}$$

Whakareatia te 5 ki te 3, ka 15.

$$\frac{\frac{2}{3}-\frac{0.25}{\frac{15}{8}}}{\frac{3\times 4+1}{4}}$$

Whakawehe 0.25 ki te \frac{15}{8} mā te whakarea 0.25 ki te tau huripoki o \frac{15}{8}.

$$\frac{\frac{2}{3}-0.25\times \frac{8}{15}}{\frac{3\times 4+1}{4}}$$

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.

$$\frac{\frac{2}{3}-\frac{1}{4}\times \frac{8}{15}}{\frac{3\times 4+1}{4}}$$

Me whakarea te \frac{1}{4} ki te \frac{8}{15} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{2}{3}-\frac{1\times 8}{4\times 15}}{\frac{3\times 4+1}{4}}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 8}{4\times 15}.

$$\frac{\frac{2}{3}-\frac{8}{60}}{\frac{3\times 4+1}{4}}$$

Whakahekea te hautanga \frac{8}{60} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{\frac{2}{3}-\frac{2}{15}}{\frac{3\times 4+1}{4}}$$

Ko te maha noa iti rawa atu o 3 me 15 ko 15. Me tahuri \frac{2}{3} me \frac{2}{15} ki te hautau me te tautūnga 15.

$$\frac{\frac{10}{15}-\frac{2}{15}}{\frac{3\times 4+1}{4}}$$

Tā te mea he rite te tauraro o \frac{10}{15} me \frac{2}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{10-2}{15}}{\frac{3\times 4+1}{4}}$$

Tangohia te 2 i te 10, ka 8.

$$\frac{\frac{8}{15}}{\frac{3\times 4+1}{4}}$$

Whakareatia te 3 ki te 4, ka 12.

$$\frac{\frac{8}{15}}{\frac{12+1}{4}}$$

Tāpirihia te 12 ki te 1, ka 13.

$$\frac{\frac{8}{15}}{\frac{13}{4}}$$

Whakawehe \frac{8}{15} ki te \frac{13}{4} mā te whakarea \frac{8}{15} ki te tau huripoki o \frac{13}{4}.

$$\frac{8}{15}\times \frac{4}{13}$$

Me whakarea te \frac{8}{15} ki te \frac{4}{13} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{8\times 4}{15\times 13}$$

Mahia ngā whakarea i roto i te hautanga \frac{8\times 4}{15\times 13}.

$$\frac{32}{195}$$

Tauwehe

$$\frac{2 ^ {5}}{3 \cdot 5 \cdot 13} = 0.1641025641025641$$