Equivalent Rational Number to -24/45


To find the equivalent rational number of -24/45, we need to simplify the fraction by dividing the numerator and denominator by their greatest common factor. In this case, the greatest common factor of 24 and 45 is 3.


-24 ÷ 3 = -8
45 ÷ 3 = 15


Therefore, the simplified form of -24/45 is -8/15. This is the equivalent rational number to -24/45.


Explanation


When simplifying fractions, it is important to divide both the numerator and denominator by their greatest common factor to get the equivalent fraction in its simplest form. In this case, dividing -24 and 45 by 3 gives us -8 and 15 respectively.


This process ensures that the fraction is reduced to its lowest terms and is easier to work with in calculations and comparisons.


Final Answer


The equivalent rational number to -24/45 is -8/15 after simplifying the fraction by dividing both the numerator and denominator by their greatest common factor which is 3.