Solve (169-6*10^-3)/1960=

$$\frac { ( 169 - 6 \times 10 ^ { - 3 } ) } { 1960 } =$$

Evaluate

$$\frac{12071}{140000}\approx 0.086221429$$

Solution Steps

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{169-6\times \frac{1}{1000}}{1960}$$

Multiply 6 and \frac{1}{1000} to get \frac{3}{500}.

$$\frac{169-\frac{3}{500}}{1960}$$

Subtract \frac{3}{500} from 169 to get \frac{84497}{500}.

$$\frac{\frac{84497}{500}}{1960}$$

Express \frac{\frac{84497}{500}}{1960} as a single fraction.

$$\frac{84497}{500\times 1960}$$

Multiply 500 and 1960 to get 980000.

$$\frac{84497}{980000}$$

Reduce the fraction \frac{84497}{980000} to lowest terms by extracting and canceling out 7.

$$\frac{12071}{140000}$$

Factor

$$\frac{12071}{2 ^ {5} \cdot 5 ^ {4} \cdot 7} = 0.08622142857142857$$