Whakaoti i te (51/4div3/5*1/7)div5/8

$$( 5 \frac { 1 } { 4 } \div \frac{ 3 }{ 5 } \times \frac{ 1 }{ 7 } ) \div \frac{ 5 }{ 8 }$$

Aromātai

$$2$$

Ngā Upane Otinga

Whakawehe \frac{5\times 4+1}{4} ki te \frac{3}{5} mā te whakarea \frac{5\times 4+1}{4} ki te tau huripoki o \frac{3}{5}.

$$\frac{\frac{\left(5\times 4+1\right)\times 5}{4\times 3}\times \frac{1}{7}}{\frac{5}{8}}$$

Whakareatia te 5 ki te 4, ka 20.

$$\frac{\frac{\left(20+1\right)\times 5}{4\times 3}\times \frac{1}{7}}{\frac{5}{8}}$$

Tāpirihia te 20 ki te 1, ka 21.

$$\frac{\frac{21\times 5}{4\times 3}\times \frac{1}{7}}{\frac{5}{8}}$$

Whakareatia te 21 ki te 5, ka 105.

$$\frac{\frac{105}{4\times 3}\times \frac{1}{7}}{\frac{5}{8}}$$

Whakareatia te 4 ki te 3, ka 12.

$$\frac{\frac{105}{12}\times \frac{1}{7}}{\frac{5}{8}}$$

Whakahekea te hautanga \frac{105}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{\frac{35}{4}\times \frac{1}{7}}{\frac{5}{8}}$$

Me whakarea te \frac{35}{4} ki te \frac{1}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{35\times 1}{4\times 7}}{\frac{5}{8}}$$

Mahia ngā whakarea i roto i te hautanga \frac{35\times 1}{4\times 7}.

$$\frac{\frac{35}{28}}{\frac{5}{8}}$$

Whakahekea te hautanga \frac{35}{28} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{\frac{5}{4}}{\frac{5}{8}}$$

Whakawehe \frac{5}{4} ki te \frac{5}{8} mā te whakarea \frac{5}{4} ki te tau huripoki o \frac{5}{8}.

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

Me whakarea te \frac{5}{4} ki te \frac{8}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Me whakakore tahi te 5 i te taurunga me te tauraro.

$$\frac{8}{4}$$

Whakawehea te 8 ki te 4, kia riro ko 2.

$$2$$

Tauwehe

$$2$$