Opening Exercise Use the slips of paper you have been given to create visual arguments for whether 1/3 or 3/8 is larger.
We will start by working with positive integers. Let 𝑚 and 𝑛 be positive integers. Work through the following exercises with a partner.
To compare two rational expressions, find equivalent rational expression with the same denominator. Then we can compare the numerators for values of the variable that do not cause the rational expression to change from positive to negative or vice versa.
We may also use numerical and graphical analysis to help understand the relative sizes of expressions.
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