Whakaoti i te 41/5*(32/7*(1+1/3))

$$4 \frac{ 1 }{ 5 } \times (3 \frac{ 2 }{ 7 } \times (1+ \frac{ 1 }{ 3 } ))$$

Aromātai

$$\frac{92}{5}=18.4$$

Ngā Upane Otinga

Whakareatia te 4 ki te 5, ka 20.

$$\frac{20+1}{5}\times \frac{3\times 7+2}{7}\left(1+\frac{1}{3}\right)$$

Tāpirihia te 20 ki te 1, ka 21.

$$\frac{21}{5}\times \frac{3\times 7+2}{7}\left(1+\frac{1}{3}\right)$$

Whakareatia te 3 ki te 7, ka 21.

$$\frac{21}{5}\times \frac{21+2}{7}\left(1+\frac{1}{3}\right)$$

Tāpirihia te 21 ki te 2, ka 23.

$$\frac{21}{5}\times \frac{23}{7}\left(1+\frac{1}{3}\right)$$

Me whakarea te \frac{21}{5} ki te \frac{23}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{21\times 23}{5\times 7}\left(1+\frac{1}{3}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{21\times 23}{5\times 7}.

$$\frac{483}{35}\left(1+\frac{1}{3}\right)$$

Whakahekea te hautanga \frac{483}{35} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{69}{5}\left(1+\frac{1}{3}\right)$$

Me tahuri te 1 ki te hautau \frac{3}{3}.

$$\frac{69}{5}\left(\frac{3}{3}+\frac{1}{3}\right)$$

Tā te mea he rite te tauraro o \frac{3}{3} me \frac{1}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{69}{5}\times \frac{3+1}{3}$$

Tāpirihia te 3 ki te 1, ka 4.

$$\frac{69}{5}\times \frac{4}{3}$$

Me whakarea te \frac{69}{5} ki te \frac{4}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{69\times 4}{5\times 3}$$

Mahia ngā whakarea i roto i te hautanga \frac{69\times 4}{5\times 3}.

$$\frac{276}{15}$$

Whakahekea te hautanga \frac{276}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{92}{5}$$

Tauwehe

$$\frac{2 ^ {2} \cdot 23}{5} = 18\frac{2}{5} = 18.4$$