Solve 28900(1/1473-1/273)

$$28900 ( \frac { 1 } { 1473 } - \frac { 1 } { 273 } )$$

Evaluate

$$-\frac{11560000}{134043}\approx -86.240982371$$

Solution Steps

Least common multiple of 1473 and 273 is 134043. Convert \frac{1}{1473} and \frac{1}{273} to fractions with denominator 134043.

$$28900\left(\frac{91}{134043}-\frac{491}{134043}\right)$$

Since \frac{91}{134043} and \frac{491}{134043} have the same denominator, subtract them by subtracting their numerators.

$$28900\times \frac{91-491}{134043}$$

Subtract 491 from 91 to get -400.

$$28900\left(-\frac{400}{134043}\right)$$

Express 28900\left(-\frac{400}{134043}\right) as a single fraction.

$$\frac{28900\left(-400\right)}{134043}$$

Multiply 28900 and -400 to get -11560000.

$$\frac{-11560000}{134043}$$

Fraction \frac{-11560000}{134043} can be rewritten as -\frac{11560000}{134043} by extracting the negative sign.

$$-\frac{11560000}{134043}$$

Factor

$$-\frac{11560000}{134043} = -86\frac{32302}{134043} = -86.2409823713286$$