Solve 87*10/393492+105*6.8/294945

$$\frac{ 87 \cdot 10 }{ 393492 } + \frac{ 105 \cdot 6.8 }{ 294945 }$$

Evaluate

$$\frac{4266313}{921099190}\approx 0.004631763$$

Solution Steps

Multiply 87 and 10 to get 870.

$$\frac{870}{393492}+\frac{105\times 6.8}{294945}$$

Reduce the fraction \frac{870}{393492} to lowest terms by extracting and canceling out 6.

$$\frac{145}{65582}+\frac{105\times 6.8}{294945}$$

Multiply 105 and 6.8 to get 714.

$$\frac{145}{65582}+\frac{714}{294945}$$

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

$$\frac{145}{65582}+\frac{34}{14045}$$

Least common multiple of 65582 and 14045 is 921099190. Convert \frac{145}{65582} and \frac{34}{14045} to fractions with denominator 921099190.

$$\frac{2036525}{921099190}+\frac{2229788}{921099190}$$

Since \frac{2036525}{921099190} and \frac{2229788}{921099190} have the same denominator, add them by adding their numerators.

$$\frac{2036525+2229788}{921099190}$$

Add 2036525 and 2229788 to get 4266313.

$$\frac{4266313}{921099190}$$

Factor

$$\frac{31 \cdot 137623}{2 \cdot 5 \cdot 271 \cdot 11 ^ {2} \cdot 53 ^ {2}} = 0.004631762839787103$$