Rešite 7*150*35+7*69*(7+12+35)*2+7*200*(7+12+7+100)*2/7*150+7*69*2+7*200*2

$$\frac { 7 \times 150 \times 35 + 7 \times 69 \times ( 7 + 12 + 35 ) \times 2 + 7 \times 200 \times ( 7 + 12 + 7 + 100 ) \times 2 } { 7 \times 150 + 7 \times 69 \times 2 + 7 \times 200 \times 2 }$$

Ovrednoti

$$\frac{31551}{344}\approx 91,718023256$$

Koraki rešitve

Pomnožite 7 in 150, da dobite 1050. Pomnožite 7 in 69, da dobite 483. Pomnožite 7 in 200, da dobite 1400.

$$\frac{1050\times 35+483\left(7+12+35\right)\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Pomnožite 1050 in 35, da dobite 36750.

$$\frac{36750+483\left(7+12+35\right)\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Seštejte 7 in 12, da dobite 19.

$$\frac{36750+483\left(19+35\right)\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Seštejte 19 in 35, da dobite 54.

$$\frac{36750+483\times 54\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Pomnožite 483 in 54, da dobite 26082.

$$\frac{36750+26082\times 2+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Pomnožite 26082 in 2, da dobite 52164.

$$\frac{36750+52164+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Seštejte 36750 in 52164, da dobite 88914.

$$\frac{88914+1400\left(7+12+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Seštejte 7 in 12, da dobite 19.

$$\frac{88914+1400\left(19+7+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Seštejte 19 in 7, da dobite 26.

$$\frac{88914+1400\left(26+100\right)\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Seštejte 26 in 100, da dobite 126.

$$\frac{88914+1400\times 126\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Pomnožite 1400 in 126, da dobite 176400.

$$\frac{88914+176400\times 2}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Pomnožite 176400 in 2, da dobite 352800.

$$\frac{88914+352800}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Seštejte 88914 in 352800, da dobite 441714.

$$\frac{441714}{7\times 150+7\times 69\times 2+7\times 200\times 2}$$

Pomnožite 7 in 150, da dobite 1050. Pomnožite 7 in 69, da dobite 483. Pomnožite 7 in 200, da dobite 1400.

$$\frac{441714}{1050+483\times 2+1400\times 2}$$

Pomnožite 483 in 2, da dobite 966.

$$\frac{441714}{1050+966+1400\times 2}$$

Seštejte 1050 in 966, da dobite 2016.

$$\frac{441714}{2016+1400\times 2}$$

Pomnožite 1400 in 2, da dobite 2800.

$$\frac{441714}{2016+2800}$$

Seštejte 2016 in 2800, da dobite 4816.

$$\frac{441714}{4816}$$

Zmanjšajte ulomek \frac{441714}{4816} na najmanjši imenovalec tako, da izpeljete in okrajšate 14.

$$\frac{31551}{344}$$

Faktoriziraj

$$\frac{3 \cdot 13 \cdot 809}{2 ^ {3} \cdot 43} = 91\frac{247}{344} = 91,71802325581395$$