Whakaoti i te 7*150*3.5+7*69*(7+12+3.5)*2+7*200*(7+12+7+100)*2/7*150+7*69*2+7*200*2

$$\frac { 7 \times 150 \times 3.5 + 7 \times 69 \times ( 7 + 12 + 3.5 ) \times 2 + 7 \times 200 \times ( 7 + 12 + 7 + 100 ) \times 2 } { 7 \times 150 + 7 \times 69 \times 2 + 7 \times 200 \times 2 }$$

Aromātai

$$\frac{27015}{344}\approx 78.531976744$$

Ngā Upane Otinga

Whakareatia te 7 ki te 150, ka 1050. Whakareatia te 7 ki te 69, ka 483. Whakareatia te 7 ki te 200, ka 1400.

$$\frac{1050\times 3.5+483\left(7+12+3.5\right)\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Whakareatia te 1050 ki te 3.5, ka 3675.

$$\frac{3675+483\left(7+12+3.5\right)\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Tāpirihia te 7 ki te 12, ka 19.

$$\frac{3675+483\left(19+3.5\right)\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Tāpirihia te 19 ki te 3.5, ka 22.5.

$$\frac{3675+483\times 22.5\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Whakareatia te 483 ki te 22.5, ka 10867.5.

$$\frac{3675+10867.5\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Whakareatia te 10867.5 ki te 2, ka 21735.

$$\frac{3675+21735+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Tāpirihia te 3675 ki te 21735, ka 25410.

$$\frac{25410+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Tāpirihia te 7 ki te 12, ka 19.

$$\frac{25410+1400\left(19+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Tāpirihia te 19 ki te 7, ka 26.

$$\frac{25410+1400\left(26+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Tāpirihia te 26 ki te 100, ka 126.

$$\frac{25410+1400\times 126\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Whakareatia te 1400 ki te 126, ka 176400.

$$\frac{25410+176400\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Whakareatia te 176400 ki te 2, ka 352800.

$$\frac{25410+352800}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Tāpirihia te 25410 ki te 352800, ka 378210.

$$\frac{378210}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Whakareatia te 7 ki te 150, ka 1050. Whakareatia te 7 ki te 69, ka 483. Whakareatia te 7 ki te 200, ka 1400.

$$\frac{378210}{1050+483\times 2+1400\times 2}$$

Whakareatia te 483 ki te 2, ka 966.

$$\frac{378210}{1050+966+1400\times 2}$$

Tāpirihia te 1050 ki te 966, ka 2016.

$$\frac{378210}{2016+1400\times 2}$$

Whakareatia te 1400 ki te 2, ka 2800.

$$\frac{378210}{2016+2800}$$

Tāpirihia te 2016 ki te 2800, ka 4816.

$$\frac{378210}{4816}$$

Whakahekea te hautanga \frac{378210}{4816} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 14.

$$\frac{27015}{344}$$

Tauwehe

$$\frac{3 \cdot 5 \cdot 1801}{43 \cdot 2 ^ {3}} = 78\frac{183}{344} = 78.53197674418605$$