Solve 2*2/490*10^-3left(0.24+0.01right)left(0.03+0.01right)

$$\frac{ 2 \times 2 }{ 490 \times { 10 }^{ -3 } \left( 0.24+0.01 \right) \left( 0.03+0.01 \right) }$$

Evaluate

$$\frac{40000}{49}\approx 816.326530612$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{2}{245\times 10^{-3}\left(0.01+0.24\right)\times \frac{1+3}{100}}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{2}{245\times \frac{1}{1000}\left(0.01+0.24\right)\times \frac{1+3}{100}}$$

Multiply 245 and \frac{1}{1000} to get \frac{49}{200}.

$$\frac{2}{\frac{49}{200}\left(0.01+0.24\right)\times \frac{1+3}{100}}$$

Add 0.01 and 0.24 to get 0.25.

$$\frac{2}{\frac{49}{200}\times 0.25\times \frac{1+3}{100}}$$

Multiply \frac{49}{200} and 0.25 to get \frac{49}{800}.

$$\frac{2}{\frac{49}{800}\times \frac{1+3}{100}}$$

Add 1 and 3 to get 4.

$$\frac{2}{\frac{49}{800}\times \frac{4}{100}}$$

Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.

$$\frac{2}{\frac{49}{800}\times \frac{1}{25}}$$

Multiply \frac{49}{800} and \frac{1}{25} to get \frac{49}{20000}.

$$\frac{2}{\frac{49}{20000}}$$

Divide 2 by \frac{49}{20000} by multiplying 2 by the reciprocal of \frac{49}{20000}.

$$2\times \frac{20000}{49}$$

Multiply 2 and \frac{20000}{49} to get \frac{40000}{49}.

$$\frac{40000}{49}$$

Factor

$$\frac{2 ^ {6} \cdot 5 ^ {4}}{7 ^ {2}} = 816\frac{16}{49} = 816.3265306122449$$