The expression that shows the best use of the associative and commutative properties is [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]. The correct option is C. [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]
Associative and Commutative properties
From the question, we are to determine the expression that shows the best use of the associative and commutative properties
The given expression is
[tex]\frac{3}{4}-5+9 -\frac{2}{4}+2[/tex]
To easier simplify the expression, we can group the fractions together and group the whole numbers together
That is,
[tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]
Hence, the expression that shows the best use of the associative and commutative properties is [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]. The correct option is C. [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]
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