Solve (-16/81)-(-32/45)

$$( \frac { - 16 } { 81 } ) - ( - \frac { 32 } { 45 } )$$

Evaluate

$$\frac{208}{405}\approx 0.513580247$$

Solution Steps

Fraction \frac{-16}{81} can be rewritten as -\frac{16}{81} by extracting the negative sign.

$$-\frac{16}{81}-\left(-\frac{32}{45}\right)$$

The opposite of -\frac{32}{45} is \frac{32}{45}.

$$-\frac{16}{81}+\frac{32}{45}$$

Least common multiple of 81 and 45 is 405. Convert -\frac{16}{81} and \frac{32}{45} to fractions with denominator 405.

$$-\frac{80}{405}+\frac{288}{405}$$

Since -\frac{80}{405} and \frac{288}{405} have the same denominator, add them by adding their numerators.

$$\frac{-80+288}{405}$$

Add -80 and 288 to get 208.

$$\frac{208}{405}$$

Factor

$$\frac{2 ^ {4} \cdot 13}{3 ^ {4} \cdot 5} = 0.5135802469135803$$