Solve --177/1205*-12473/6444+5543/4475

$$-- \frac{ 177 }{ 1205 } \times - \frac{ 12473 }{ 6444 } + \frac{ 5543 }{ 4475 }$$

Evaluate

$$\frac{68999}{72300}\approx 0.954343015$$

Solution Steps

The opposite of -\frac{177}{1205} is \frac{177}{1205}.

$$\frac{177}{1205}\left(-\frac{12473}{6444}\right)+\frac{5543}{4475}$$

Multiply \frac{177}{1205} times -\frac{12473}{6444} by multiplying numerator times numerator and denominator times denominator.

$$\frac{177\left(-12473\right)}{1205\times 6444}+\frac{5543}{4475}$$

Do the multiplications in the fraction \frac{177\left(-12473\right)}{1205\times 6444}.

$$\frac{-2207721}{7765020}+\frac{5543}{4475}$$

Reduce the fraction \frac{-2207721}{7765020} to lowest terms by extracting and canceling out 3.

$$-\frac{735907}{2588340}+\frac{5543}{4475}$$

Least common multiple of 2588340 and 4475 is 12941700. Convert -\frac{735907}{2588340} and \frac{5543}{4475} to fractions with denominator 12941700.

$$-\frac{3679535}{12941700}+\frac{16030356}{12941700}$$

Since -\frac{3679535}{12941700} and \frac{16030356}{12941700} have the same denominator, add them by adding their numerators.

$$\frac{-3679535+16030356}{12941700}$$

Add -3679535 and 16030356 to get 12350821.

$$\frac{12350821}{12941700}$$

Reduce the fraction \frac{12350821}{12941700} to lowest terms by extracting and canceling out 179.

$$\frac{68999}{72300}$$

Factor

$$\frac{7 \cdot 9857}{2 ^ {2} \cdot 3 \cdot 5 ^ {2} \cdot 241} = 0.9543430152143845$$