Solve 269.43div2*8.314

$$269.43 \div 2 \times 8.314$$

Evaluate

$$1120.02051$$

Solution Steps

Expand \frac{269.43}{2} by multiplying both numerator and the denominator by 100.

$$\frac{26943}{200}\times 8.314$$

Convert decimal number 8.314 to fraction \frac{8314}{1000}. Reduce the fraction \frac{8314}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{26943}{200}\times \frac{4157}{500}$$

Multiply \frac{26943}{200} times \frac{4157}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{26943\times 4157}{200\times 500}$$

Do the multiplications in the fraction \frac{26943\times 4157}{200\times 500}.

$$\frac{112002051}{100000}$$

Factor

$$\frac{3 \cdot 7 \cdot 1283 \cdot 4157}{2 ^ {5} \cdot 5 ^ {5}} = 1120\frac{2051}{100000} = 1120.02051$$