Solve 5div3.5%-200

$$5 \div 3.5 \% -200$$

Evaluate

$$-\frac{400}{7}\approx -57.142857143$$

Solution Steps

Divide 5 by \frac{3.5}{100} by multiplying 5 by the reciprocal of \frac{3.5}{100}.

$$\frac{5\times 100}{3.5}-200$$

Multiply 5 and 100 to get 500.

$$\frac{500}{3.5}-200$$

Expand \frac{500}{3.5} by multiplying both numerator and the denominator by 10.

$$\frac{5000}{35}-200$$

Reduce the fraction \frac{5000}{35} to lowest terms by extracting and canceling out 5.

$$\frac{1000}{7}-200$$

Convert 200 to fraction \frac{1400}{7}.

$$\frac{1000}{7}-\frac{1400}{7}$$

Since \frac{1000}{7} and \frac{1400}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1000-1400}{7}$$

Subtract 1400 from 1000 to get -400.

$$-\frac{400}{7}$$

Factor

$$-\frac{400}{7} = -57\frac{1}{7} = -57.142857142857146$$