Solve 194.4/1.75*0.679

$$\frac{ 194.4 }{ 1.75 } \times 0.679$$

Evaluate

$$75.4272$$

Solution Steps

Expand \frac{194.4}{1.75} by multiplying both numerator and the denominator by 100.

$$\frac{19440}{175}\times 0.679$$

Reduce the fraction \frac{19440}{175} to lowest terms by extracting and canceling out 5.

$$\frac{3888}{35}\times 0.679$$

Convert decimal number 0.679 to fraction \frac{679}{1000}.

$$\frac{3888}{35}\times \frac{679}{1000}$$

Multiply \frac{3888}{35} times \frac{679}{1000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3888\times 679}{35\times 1000}$$

Do the multiplications in the fraction \frac{3888\times 679}{35\times 1000}.

$$\frac{2639952}{35000}$$

Reduce the fraction \frac{2639952}{35000} to lowest terms by extracting and canceling out 56.

$$\frac{47142}{625}$$

Factor

$$\frac{2 \cdot 97 \cdot 3 ^ {5}}{5 ^ {4}} = 75\frac{267}{625} = 75.4272$$