Solve 4.2^2/6*0.193+0.193/2

$$\frac{ { 4.2 }^{ 2 } }{ 6 \times 0.193 } + \frac{ 0.193 }{ 2 }$$

Evaluate

$$\frac{5917249}{386000}\approx 15.329660622$$

Solution Steps

Calculate 4.2 to the power of 2 and get 17.64.

$$\frac{17.64}{6\times 0.193}+\frac{0.193}{2}$$

Multiply 6 and 0.193 to get 1.158.

$$\frac{17.64}{1.158}+\frac{0.193}{2}$$

Expand \frac{17.64}{1.158} by multiplying both numerator and the denominator by 1000.

$$\frac{17640}{1158}+\frac{0.193}{2}$$

Reduce the fraction \frac{17640}{1158} to lowest terms by extracting and canceling out 6.

$$\frac{2940}{193}+\frac{0.193}{2}$$

Expand \frac{0.193}{2} by multiplying both numerator and the denominator by 1000.

$$\frac{2940}{193}+\frac{193}{2000}$$

Least common multiple of 193 and 2000 is 386000. Convert \frac{2940}{193} and \frac{193}{2000} to fractions with denominator 386000.

$$\frac{5880000}{386000}+\frac{37249}{386000}$$

Since \frac{5880000}{386000} and \frac{37249}{386000} have the same denominator, add them by adding their numerators.

$$\frac{5880000+37249}{386000}$$

Add 5880000 and 37249 to get 5917249.

$$\frac{5917249}{386000}$$

Factor

$$\frac{13 \cdot 31 \cdot 14683}{193 \cdot 2 ^ {4} \cdot 5 ^ {3}} = 15\frac{127249}{386000} = 15.329660621761658$$