Solve 1/0.702*(354.1-0.3768*387)

$$\frac{ 1 }{ 0.702 } \times (354.1-0.3768 \times 387)$$

Evaluate

$$\frac{520696}{1755}\approx 296.692877493$$

Solution Steps

Expand \frac{1}{0.702} by multiplying both numerator and the denominator by 1000.

$$\frac{1000}{702}\left(354.1-0.3768\times 387\right)$$

Reduce the fraction \frac{1000}{702} to lowest terms by extracting and canceling out 2.

$$\frac{500}{351}\left(354.1-0.3768\times 387\right)$$

Multiply 0.3768 and 387 to get 145.8216.

$$\frac{500}{351}\left(354.1-145.8216\right)$$

Subtract 145.8216 from 354.1 to get 208.2784.

$$\frac{500}{351}\times 208.2784$$

Convert decimal number 208.2784 to fraction \frac{2082784}{10000}. Reduce the fraction \frac{2082784}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{500}{351}\times \frac{130174}{625}$$

Multiply \frac{500}{351} times \frac{130174}{625} by multiplying numerator times numerator and denominator times denominator.

$$\frac{500\times 130174}{351\times 625}$$

Do the multiplications in the fraction \frac{500\times 130174}{351\times 625}.

$$\frac{65087000}{219375}$$

Reduce the fraction \frac{65087000}{219375} to lowest terms by extracting and canceling out 125.

$$\frac{520696}{1755}$$

Factor

$$\frac{11 \cdot 61 \cdot 97 \cdot 2 ^ {3}}{5 \cdot 13 \cdot 3 ^ {3}} = 296\frac{1216}{1755} = 296.69287749287747$$