Solve 184*10/393492+105*6.8/294945

$$\frac{ 184 \cdot 10 }{ 393492 } + \frac{ 105 \cdot 6.8 }{ 294945 }$$

Evaluate

$$\frac{9805382}{1381648785}\approx 0.00709687$$

Solution Steps

Multiply 184 and 10 to get 1840.

$$\frac{1840}{393492}+\frac{105\times 6.8}{294945}$$

Reduce the fraction \frac{1840}{393492} to lowest terms by extracting and canceling out 4.

$$\frac{460}{98373}+\frac{105\times 6.8}{294945}$$

Multiply 105 and 6.8 to get 714.

$$\frac{460}{98373}+\frac{714}{294945}$$

Reduce the fraction \frac{714}{294945} to lowest terms by extracting and canceling out 21.

$$\frac{460}{98373}+\frac{34}{14045}$$

Least common multiple of 98373 and 14045 is 1381648785. Convert \frac{460}{98373} and \frac{34}{14045} to fractions with denominator 1381648785.

$$\frac{6460700}{1381648785}+\frac{3344682}{1381648785}$$

Since \frac{6460700}{1381648785} and \frac{3344682}{1381648785} have the same denominator, add them by adding their numerators.

$$\frac{6460700+3344682}{1381648785}$$

Add 6460700 and 3344682 to get 9805382.

$$\frac{9805382}{1381648785}$$

Factor

$$\frac{2 \cdot 4902691}{3 \cdot 5 \cdot 271 \cdot 11 ^ {2} \cdot 53 ^ {2}} = 0.007096870135488159$$