Solve 765490/22.72+1472*22.72

$$\frac{ 765490 }{ 22.72 } +1472 \cdot 22.72$$

Evaluate

$$\frac{476666889}{7100}\approx 67136.181549296$$

Solution Steps

Expand \frac{765490}{22.72} by multiplying both numerator and the denominator by 100.

$$\frac{76549000}{2272}+1472\times 22.72$$

Reduce the fraction \frac{76549000}{2272} to lowest terms by extracting and canceling out 8.

$$\frac{9568625}{284}+1472\times 22.72$$

Multiply 1472 and 22.72 to get 33443.84.

$$\frac{9568625}{284}+33443.84$$

Convert decimal number 33443.84 to fraction \frac{3344384}{100}. Reduce the fraction \frac{3344384}{100} to lowest terms by extracting and canceling out 4.

$$\frac{9568625}{284}+\frac{836096}{25}$$

Least common multiple of 284 and 25 is 7100. Convert \frac{9568625}{284} and \frac{836096}{25} to fractions with denominator 7100.

$$\frac{239215625}{7100}+\frac{237451264}{7100}$$

Since \frac{239215625}{7100} and \frac{237451264}{7100} have the same denominator, add them by adding their numerators.

$$\frac{239215625+237451264}{7100}$$

Add 239215625 and 237451264 to get 476666889.

$$\frac{476666889}{7100}$$

Factor

$$\frac{3 \cdot 19 \cdot 199 \cdot 42023}{71 \cdot 2 ^ {2} \cdot 5 ^ {2}} = 67136\frac{1289}{7100} = 67136.18154929577$$