Solve 17*1069+1/4*(-9.7638)

$$17 \cdot 1069 + \frac { 1 } { 4 } \times ( - 9.7638 )$$

Evaluate

$$18170.55905$$

Solution Steps

Multiply 17 and 1069 to get 18173.

$$18173+\frac{1}{4}\left(-9.7638\right)$$

Convert decimal number -9.7638 to fraction -\frac{97638}{10000}. Reduce the fraction -\frac{97638}{10000} to lowest terms by extracting and canceling out 2.

$$18173+\frac{1}{4}\left(-\frac{48819}{5000}\right)$$

Multiply \frac{1}{4} times -\frac{48819}{5000} by multiplying numerator times numerator and denominator times denominator.

$$18173+\frac{1\left(-48819\right)}{4\times 5000}$$

Do the multiplications in the fraction \frac{1\left(-48819\right)}{4\times 5000}.

$$18173+\frac{-48819}{20000}$$

Fraction \frac{-48819}{20000} can be rewritten as -\frac{48819}{20000} by extracting the negative sign.

$$18173-\frac{48819}{20000}$$

Convert 18173 to fraction \frac{363460000}{20000}.

$$\frac{363460000}{20000}-\frac{48819}{20000}$$

Since \frac{363460000}{20000} and \frac{48819}{20000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{363460000-48819}{20000}$$

Subtract 48819 from 363460000 to get 363411181.

$$\frac{363411181}{20000}$$

Factor

$$\frac{7 \cdot 51915883}{2 ^ {5} \cdot 5 ^ {4}} = 18170\frac{11181}{20000} = 18170.55905$$