Solve 0.95*4.45/0.96*15.4*0.764

$$\frac { 0.95 \times 4.45 } { 0.96 \times 15.4 } \times 0.764$$

Evaluate

$$\frac{322981}{1478400}\approx 0.218466585$$

Solution Steps

Multiply 0.95 and 4.45 to get 4.2275.

$$\frac{4.2275}{0.96\times 15.4}\times 0.764$$

Multiply 0.96 and 15.4 to get 14.784.

$$\frac{4.2275}{14.784}\times 0.764$$

Expand \frac{4.2275}{14.784} by multiplying both numerator and the denominator by 10000.

$$\frac{42275}{147840}\times 0.764$$

Reduce the fraction \frac{42275}{147840} to lowest terms by extracting and canceling out 5.

$$\frac{8455}{29568}\times 0.764$$

Convert decimal number 0.764 to fraction \frac{764}{1000}. Reduce the fraction \frac{764}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{8455}{29568}\times \frac{191}{250}$$

Multiply \frac{8455}{29568} times \frac{191}{250} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8455\times 191}{29568\times 250}$$

Do the multiplications in the fraction \frac{8455\times 191}{29568\times 250}.

$$\frac{1614905}{7392000}$$

Reduce the fraction \frac{1614905}{7392000} to lowest terms by extracting and canceling out 5.

$$\frac{322981}{1478400}$$

Factor

$$\frac{19 \cdot 89 \cdot 191}{3 \cdot 7 \cdot 11 \cdot 2 ^ {8} \cdot 5 ^ {2}} = 0.21846658549783549$$