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estimate the difference. \\(\\frac{4}{9} - \\frac{1}{12}\\) less than \…

Question

estimate the difference.
\\(\frac{4}{9} - \frac{1}{12}\\)
less than \\(\frac{1}{2}\\) greater than \\(\frac{1}{2}\\)

Explanation:

Step1: Compare $\frac{4}{9}$ to $\frac{1}{2}$

$\frac{4}{9} = \frac{8}{18}$, $\frac{1}{2} = \frac{9}{18}$, so $\frac{4}{9} < \frac{1}{2}$

Step2: Subtract positive value from smaller number

We subtract $\frac{1}{12}$ (positive) from $\frac{4}{9}$, so $\frac{4}{9} - \frac{1}{12} < \frac{4}{9} < \frac{1}{2}$

Answer:

Less than $\frac{1}{2}$