Solve 1-125/144-125/192

$$1 - \frac { 125 } { 144 } - \frac { 125 } { 192 }$$

Evaluate

$$-\frac{299}{576}\approx -0.519097222$$

Solution Steps

Convert 1 to fraction \frac{144}{144}.

$$\frac{144}{144}-\frac{125}{144}-\frac{125}{192}$$

Since \frac{144}{144} and \frac{125}{144} have the same denominator, subtract them by subtracting their numerators.

$$\frac{144-125}{144}-\frac{125}{192}$$

Subtract 125 from 144 to get 19.

$$\frac{19}{144}-\frac{125}{192}$$

Least common multiple of 144 and 192 is 576. Convert \frac{19}{144} and \frac{125}{192} to fractions with denominator 576.

$$\frac{76}{576}-\frac{375}{576}$$

Since \frac{76}{576} and \frac{375}{576} have the same denominator, subtract them by subtracting their numerators.

$$\frac{76-375}{576}$$

Subtract 375 from 76 to get -299.

$$-\frac{299}{576}$$

Factor

$$-\frac{299}{576} = -0.5190972222222222$$