Solve 55/2(55)-10-3

$$\frac{ 55 }{ 2(55)-10 } -3$$

Evaluate

$$-\frac{49}{20}=-2.45$$

Solution Steps

Multiply 2 and 55 to get 110.

$$\frac{55}{110-10}-3$$

Subtract 10 from 110 to get 100.

$$\frac{55}{100}-3$$

Reduce the fraction \frac{55}{100} to lowest terms by extracting and canceling out 5.

$$\frac{11}{20}-3$$

Convert 3 to fraction \frac{60}{20}.

$$\frac{11}{20}-\frac{60}{20}$$

Since \frac{11}{20} and \frac{60}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-60}{20}$$

Subtract 60 from 11 to get -49.

$$-\frac{49}{20}$$

Factor

$$-\frac{49}{20} = -2\frac{9}{20} = -2.45$$