To express [tex]\(\frac{-3}{5}\)[/tex] as a rational number with the given denominator:
1. Start with the fraction [tex]\(\frac{-3}{5}\)[/tex].
2. A rational number is a number that can be expressed as the quotient or fraction [tex]\(\frac{a}{b}\)[/tex] of two integers, where [tex]\(a\)[/tex] (the numerator) and [tex]\(b\)[/tex] (the denominator) are integers, and [tex]\(b \ne 0\)[/tex].
3. In this case, the numerator is [tex]\(-3\)[/tex] and the denominator is [tex]\(5\)[/tex].
To find the decimal form of the fraction [tex]\(\frac{-3}{5}\)[/tex]:
1. Divide the numerator by the denominator:
[tex]\[
-3 \div 5 = -0.6
\][/tex]
Therefore, the fraction [tex]\(\frac{-3}{5}\)[/tex] expressed as a rational number in decimal form is [tex]\(-0.6\)[/tex].
