Solve 74/45*185.2-3=

$$\frac{ 74 }{ 45 } \times 185.2-3=$$

Evaluate

$$\frac{67849}{225}\approx 301.551111111$$

Solution Steps

Convert decimal number 185.2 to fraction \frac{1852}{10}. Reduce the fraction \frac{1852}{10} to lowest terms by extracting and canceling out 2.

$$\frac{74}{45}\times \frac{926}{5}-3$$

Multiply \frac{74}{45} times \frac{926}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{74\times 926}{45\times 5}-3$$

Do the multiplications in the fraction \frac{74\times 926}{45\times 5}.

$$\frac{68524}{225}-3$$

Convert 3 to fraction \frac{675}{225}.

$$\frac{68524}{225}-\frac{675}{225}$$

Since \frac{68524}{225} and \frac{675}{225} have the same denominator, subtract them by subtracting their numerators.

$$\frac{68524-675}{225}$$

Subtract 675 from 68524 to get 67849.

$$\frac{67849}{225}$$

Factor

$$\frac{19 \cdot 3571}{3 ^ {2} \cdot 5 ^ {2}} = 301\frac{124}{225} = 301.5511111111111$$