Solve 1006.1/1.438*0.438

$$\frac{ 1006.1 }{ 1.438 } \times 0.438$$

Evaluate

$$\frac{2203359}{7190}\approx 306.447705146$$

Solution Steps

Expand \frac{1006.1}{1.438} by multiplying both numerator and the denominator by 1000.

$$\frac{1006100}{1438}\times 0.438$$

Reduce the fraction \frac{1006100}{1438} to lowest terms by extracting and canceling out 2.

$$\frac{503050}{719}\times 0.438$$

Convert decimal number 0.438 to fraction \frac{438}{1000}. Reduce the fraction \frac{438}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{503050}{719}\times \frac{219}{500}$$

Multiply \frac{503050}{719} times \frac{219}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{503050\times 219}{719\times 500}$$

Do the multiplications in the fraction \frac{503050\times 219}{719\times 500}.

$$\frac{110167950}{359500}$$

Reduce the fraction \frac{110167950}{359500} to lowest terms by extracting and canceling out 50.

$$\frac{2203359}{7190}$$

Factor

$$\frac{3 \cdot 73 \cdot 10061}{2 \cdot 5 \cdot 719} = 306\frac{3219}{7190} = 306.4477051460362$$