Solve 15.4/1.73+15.4*0.17

$$\frac{ 15.4 }{ 1.73 } +15.4 \times 0.17$$

Evaluate

$$\frac{996457}{86500}\approx 11.519734104$$

Solution Steps

Expand \frac{15.4}{1.73} by multiplying both numerator and the denominator by 100.

$$\frac{1540}{173}+15.4\times 0.17$$

Multiply 15.4 and 0.17 to get 2.618.

$$\frac{1540}{173}+2.618$$

Convert decimal number 2.618 to fraction \frac{2618}{1000}. Reduce the fraction \frac{2618}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{1540}{173}+\frac{1309}{500}$$

Least common multiple of 173 and 500 is 86500. Convert \frac{1540}{173} and \frac{1309}{500} to fractions with denominator 86500.

$$\frac{770000}{86500}+\frac{226457}{86500}$$

Since \frac{770000}{86500} and \frac{226457}{86500} have the same denominator, add them by adding their numerators.

$$\frac{770000+226457}{86500}$$

Add 770000 and 226457 to get 996457.

$$\frac{996457}{86500}$$

Factor

$$\frac{7 \cdot 11 \cdot 12941}{173 \cdot 2 ^ {2} \cdot 5 ^ {3}} = 11\frac{44957}{86500} = 11.519734104046243$$