Whakaoti i te 5div27/8*102/5

$$5 \div 2 \frac { 7 } { 8 } \times 10 \frac { 2 } { 5 }$$

Aromātai

$$\frac{416}{23}\approx 18.086956522$$

Ngā Upane Otinga

Whakawehe 5 ki te \frac{2\times 8+7}{8} mā te whakarea 5 ki te tau huripoki o \frac{2\times 8+7}{8}.

$$\frac{5\times 8}{2\times 8+7}\times \frac{10\times 5+2}{5}$$

Whakareatia te 5 ki te 8, ka 40.

$$\frac{40}{2\times 8+7}\times \frac{10\times 5+2}{5}$$

Whakareatia te 2 ki te 8, ka 16.

$$\frac{40}{16+7}\times \frac{10\times 5+2}{5}$$

Tāpirihia te 16 ki te 7, ka 23.

$$\frac{40}{23}\times \frac{10\times 5+2}{5}$$

Whakareatia te 10 ki te 5, ka 50.

$$\frac{40}{23}\times \frac{50+2}{5}$$

Tāpirihia te 50 ki te 2, ka 52.

$$\frac{40}{23}\times \frac{52}{5}$$

Me whakarea te \frac{40}{23} ki te \frac{52}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{40\times 52}{23\times 5}$$

Mahia ngā whakarea i roto i te hautanga \frac{40\times 52}{23\times 5}.

$$\frac{2080}{115}$$

Whakahekea te hautanga \frac{2080}{115} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{416}{23}$$

Tauwehe

$$\frac{2 ^ {5} \cdot 13}{23} = 18\frac{2}{23} = 18.08695652173913$$