Simplify the following algebraic expression

Explanation

• use the associative property of multiplication to group the factors.
  • \(\frac83\) • \(\frac38\)r = (\(\frac83\) • \(\frac38\))
• Multiply within the parentheses.  The product of a number and its reciprocal is 1:\(\require{cancel} \frac{\cancel{8}^1}{\cancel{3}_1}\) • \(\ \require{cancel} \frac{\cancel{3}^1}{\cancel{8}_1}\) = 1
  • = 1r
• The coefficient 1 need not be written
  • = r