Solve (75.25div1000)*55.55

$$(75.25 \div 1000) \times 55.55$$

Evaluate

$$4.1801375$$

Solution Steps

Expand \frac{75.25}{1000} by multiplying both numerator and the denominator by 100.

$$\frac{7525}{100000}\times 55.55$$

Reduce the fraction \frac{7525}{100000} to lowest terms by extracting and canceling out 25.

$$\frac{301}{4000}\times 55.55$$

Convert decimal number 55.55 to fraction \frac{5555}{100}. Reduce the fraction \frac{5555}{100} to lowest terms by extracting and canceling out 5.

$$\frac{301}{4000}\times \frac{1111}{20}$$

Multiply \frac{301}{4000} times \frac{1111}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{301\times 1111}{4000\times 20}$$

Do the multiplications in the fraction \frac{301\times 1111}{4000\times 20}.

$$\frac{334411}{80000}$$

Factor

$$\frac{7 \cdot 11 \cdot 43 \cdot 101}{2 ^ {7} \cdot 5 ^ {4}} = 4\frac{14411}{80000} = 4.1801375$$