Whakaoti i te 5/6-1/4*2/3div5/6

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

Aromātai

$$\frac{19}{30}\approx 0.633333333$$

Ngā Upane Otinga

Me whakarea te \frac{1}{4} ki te \frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Mahia ngā whakarea i roto i te hautanga \frac{1\times 2}{4\times 3}.

$$\frac{5}{6}-\frac{\frac{2}{12}}{\frac{5}{6}}$$

Whakahekea te hautanga \frac{2}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{5}{6}-\frac{\frac{1}{6}}{\frac{5}{6}}$$

Whakawehe \frac{1}{6} ki te \frac{5}{6} mā te whakarea \frac{1}{6} ki te tau huripoki o \frac{5}{6}.

$$\frac{5}{6}-\frac{1}{6}\times \frac{6}{5}$$

Me whakarea te \frac{1}{6} ki te \frac{6}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5}{6}-\frac{1\times 6}{6\times 5}$$

Me whakakore tahi te 6 i te taurunga me te tauraro.

$$\frac{5}{6}-\frac{1}{5}$$

Ko te maha noa iti rawa atu o 6 me 5 ko 30. Me tahuri \frac{5}{6} me \frac{1}{5} ki te hautau me te tautūnga 30.

$$\frac{25}{30}-\frac{6}{30}$$

Tā te mea he rite te tauraro o \frac{25}{30} me \frac{6}{30}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{25-6}{30}$$

Tangohia te 6 i te 25, ka 19.

$$\frac{19}{30}$$

Tauwehe

$$\frac{19}{2 \cdot 3 \cdot 5} = 0.6333333333333333$$