Solve 1-7100/9975-1

$$1 - 7 \frac { 100 } { 9975 } - 1$$

Evaluate

$$-\frac{2797}{399}\approx -7.010025063$$

Solution Steps

Multiply 7 and 9975 to get 69825.

$$1-\frac{69825+100}{9975}-1$$

Add 69825 and 100 to get 69925.

$$1-\frac{69925}{9975}-1$$

Reduce the fraction \frac{69925}{9975} to lowest terms by extracting and canceling out 25.

$$1-\frac{2797}{399}-1$$

Convert 1 to fraction \frac{399}{399}.

$$\frac{399}{399}-\frac{2797}{399}-1$$

Since \frac{399}{399} and \frac{2797}{399} have the same denominator, subtract them by subtracting their numerators.

$$\frac{399-2797}{399}-1$$

Subtract 2797 from 399 to get -2398.

$$-\frac{2398}{399}-1$$

Convert 1 to fraction \frac{399}{399}.

$$-\frac{2398}{399}-\frac{399}{399}$$

Since -\frac{2398}{399} and \frac{399}{399} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2398-399}{399}$$

Subtract 399 from -2398 to get -2797.

$$-\frac{2797}{399}$$

Factor

$$-\frac{2797}{399} = -7\frac{4}{399} = -7.010025062656641$$