Solve 765490/22.6+1472*22.6

$$\frac{ 765490 }{ 22.6 } +1472 \cdot 22.6$$

Evaluate

$$\frac{37933218}{565}\approx 67138.438938053$$

Solution Steps

Expand \frac{765490}{22.6} by multiplying both numerator and the denominator by 10.

$$\frac{7654900}{226}+1472\times 22.6$$

Reduce the fraction \frac{7654900}{226} to lowest terms by extracting and canceling out 2.

$$\frac{3827450}{113}+1472\times 22.6$$

Multiply 1472 and 22.6 to get 33267.2.

$$\frac{3827450}{113}+33267.2$$

Convert decimal number 33267.2 to fraction \frac{332672}{10}. Reduce the fraction \frac{332672}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3827450}{113}+\frac{166336}{5}$$

Least common multiple of 113 and 5 is 565. Convert \frac{3827450}{113} and \frac{166336}{5} to fractions with denominator 565.

$$\frac{19137250}{565}+\frac{18795968}{565}$$

Since \frac{19137250}{565} and \frac{18795968}{565} have the same denominator, add them by adding their numerators.

$$\frac{19137250+18795968}{565}$$

Add 19137250 and 18795968 to get 37933218.

$$\frac{37933218}{565}$$

Factor

$$\frac{2 \cdot 29 \cdot 24223 \cdot 3 ^ {3}}{5 \cdot 113} = 67138\frac{248}{565} = 67138.43893805309$$