Solve (12075/19+1100/9)1775/108=

$$( \frac { 12075 } { 19 } + \frac { 1100 } { 9 } ) \frac { 1775 } { 108 } =$$

Evaluate

$$\frac{229995625}{18468}\approx 12453.737546026$$

Solution Steps

Least common multiple of 19 and 9 is 171. Convert \frac{12075}{19} and \frac{1100}{9} to fractions with denominator 171.

$$\left(\frac{108675}{171}+\frac{20900}{171}\right)\times \frac{1775}{108}$$

Since \frac{108675}{171} and \frac{20900}{171} have the same denominator, add them by adding their numerators.

$$\frac{108675+20900}{171}\times \frac{1775}{108}$$

Add 108675 and 20900 to get 129575.

$$\frac{129575}{171}\times \frac{1775}{108}$$

Multiply \frac{129575}{171} times \frac{1775}{108} by multiplying numerator times numerator and denominator times denominator.

$$\frac{129575\times 1775}{171\times 108}$$

Do the multiplications in the fraction \frac{129575\times 1775}{171\times 108}.

$$\frac{229995625}{18468}$$

Factor

$$\frac{5 ^ {4} \cdot 71 ^ {2} \cdot 73}{2 ^ {2} \cdot 3 ^ {5} \cdot 19} = 12453\frac{13621}{18468} = 12453.737546025557$$