Solve 1-6.941-7.016/1.001

$$1- \frac{ 6.941-7.016 }{ 1.001 }$$

Evaluate

$$\frac{1076}{1001}\approx 1.074925075$$

Solution Steps

Subtract 7.016 from 6.941 to get -0.075.

$$1-\frac{-0.075}{1.001}$$

Expand \frac{-0.075}{1.001} by multiplying both numerator and the denominator by 1000.

$$1-\frac{-75}{1001}$$

Fraction \frac{-75}{1001} can be rewritten as -\frac{75}{1001} by extracting the negative sign.

$$1-\left(-\frac{75}{1001}\right)$$

The opposite of -\frac{75}{1001} is \frac{75}{1001}.

$$1+\frac{75}{1001}$$

Convert 1 to fraction \frac{1001}{1001}.

$$\frac{1001}{1001}+\frac{75}{1001}$$

Since \frac{1001}{1001} and \frac{75}{1001} have the same denominator, add them by adding their numerators.

$$\frac{1001+75}{1001}$$

Add 1001 and 75 to get 1076.

$$\frac{1076}{1001}$$

Factor

$$\frac{269 \cdot 2 ^ {2}}{7 \cdot 11 \cdot 13} = 1\frac{75}{1001} = 1.074925074925075$$