1/2 of 2/3 = 1/2 of third(s) =third(s)

1 answer:

6 0

I'll write the equation again with the blanks filled in.

1/2 of 2/3 = 1/2 of two thirds = one third

2/3 is read as two thirds.

Half of 2/3 is 1/3, because 1/3+1/3=2/3

Hope this helps!

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$\bf \stackrel{mixed}{2\frac{1}{3}}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}}
~\hfill
\stackrel{mixed}{4\frac{2}{3}}\implies \cfrac{4\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{14}{3}}$

$\bf \stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\cfrac{~~2\frac{1}{3}~~}{\frac{3}{4}}=\cfrac{~~4\frac{2}{3}~~}{1\frac{1}{2}}\implies \cfrac{~~\frac{7}{3}~~}{\frac{3}{4}}=\cfrac{~~\frac{14}{3}~~}{\frac{3}{2}}\implies \cfrac{7}{3}\cdot \cfrac{4}{3}=\cfrac{14}{3}\cdot \cfrac{2}{3}\implies \cfrac{28}{9}=\cfrac{28}{9}~~\textit{\Large \checkmark}$

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1/2 of 2/3 = 1/2 of ____ third(s) =____third(s)

1/2 of 2/3 = 1/2 of third(s) =third(s)