Whakaoti i te 43/8div(51/4*4/5)

$$4 \frac { 3 } { 8 } \div ( 5 \frac { 1 } { 4 } \times \frac { 4 } { 5 } )$$

Aromātai

$$\frac{25}{24}\approx 1.041666667$$

Ngā Upane Otinga

Whakareatia te 4 ki te 8, ka 32.

$$\frac{\frac{32+3}{8}}{\frac{5\times 4+1}{4}\times \frac{4}{5}}$$

Tāpirihia te 32 ki te 3, ka 35.

$$\frac{\frac{35}{8}}{\frac{5\times 4+1}{4}\times \frac{4}{5}}$$

Whakareatia te 5 ki te 4, ka 20.

$$\frac{\frac{35}{8}}{\frac{20+1}{4}\times \frac{4}{5}}$$

Tāpirihia te 20 ki te 1, ka 21.

$$\frac{\frac{35}{8}}{\frac{21}{4}\times \frac{4}{5}}$$

Me whakarea te \frac{21}{4} ki te \frac{4}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{35}{8}}{\frac{21\times 4}{4\times 5}}$$

Me whakakore tahi te 4 i te taurunga me te tauraro.

$$\frac{\frac{35}{8}}{\frac{21}{5}}$$

Whakawehe \frac{35}{8} ki te \frac{21}{5} mā te whakarea \frac{35}{8} ki te tau huripoki o \frac{21}{5}.

$$\frac{35}{8}\times \frac{5}{21}$$

Me whakarea te \frac{35}{8} ki te \frac{5}{21} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{35\times 5}{8\times 21}$$

Mahia ngā whakarea i roto i te hautanga \frac{35\times 5}{8\times 21}.

$$\frac{175}{168}$$

Whakahekea te hautanga \frac{175}{168} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{25}{24}$$

Tauwehe

$$\frac{5 ^ {2}}{2 ^ {3} \cdot 3} = 1\frac{1}{24} = 1.0416666666666667$$