Simplify the following using associative property of rational numbers.
[tex] \frac{1}{5} + ( \frac{2}{5} + \frac{3}{5} )[/tex]
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Simplify the following using associative property of rational numbers.
[tex] \frac{1}{5} + ( \frac{2}{5} + \frac{3}{5} )[/tex]
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Answer:
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Verified answer
[tex]\huge{\mathscr{\green{Solution}}}[/tex]
Step-by-step explanation:
a(b+c)=(a+b)+c
[tex]{\small{\mathtt{\frac{1}{5}+(\frac{2}{5}+\frac{3}{5})}}}[/tex]
Using associativity we can write this as
[tex]{\small{\implies{\mathtt{(\frac{1}{5}+\frac{2}{5})+\frac{3}{5}}}}}[/tex]
[tex]{\small{\implies{\mathtt{\frac{3}{5}+\frac{3}{5}}}}}[/tex]
[tex]{\small{\implies{\boxed{\mathtt{\pink{\frac{6}{5}}}}}}}[/tex]