Solve 600/688*100-100

$$\frac{ 600 }{ 688 } \times 100-100$$

Evaluate

$$-\frac{550}{43}\approx -12.790697674$$

Solution Steps

Reduce the fraction \frac{600}{688} to lowest terms by extracting and canceling out 8.

$$\frac{75}{86}\times 100-100$$

Express \frac{75}{86}\times 100 as a single fraction.

$$\frac{75\times 100}{86}-100$$

Multiply 75 and 100 to get 7500.

$$\frac{7500}{86}-100$$

Reduce the fraction \frac{7500}{86} to lowest terms by extracting and canceling out 2.

$$\frac{3750}{43}-100$$

Convert 100 to fraction \frac{4300}{43}.

$$\frac{3750}{43}-\frac{4300}{43}$$

Since \frac{3750}{43} and \frac{4300}{43} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3750-4300}{43}$$

Subtract 4300 from 3750 to get -550.

$$-\frac{550}{43}$$

Factor

$$-\frac{550}{43} = -12\frac{34}{43} = -12.790697674418604$$