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lbvjy [14]
3 years ago
6

2/3 is what percent of 1/4?

Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0
So if we take 1/4 to be the 100%, what is 2/3 in percentage off of it then?

\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{1}{4}&100\\\\
\frac{2}{3}&p
\end{array}\implies \cfrac{\frac{1}{4}}{\frac{2}{3}}=\cfrac{100}{p}\implies \cfrac{1}{4}\cdot \cfrac{3}{2}=\cfrac{100}{p}\implies \cfrac{3}{8}=\cfrac{100}{p}
\\\\\\
p=\cfrac{8\cdot 100}{3}\implies p=\cfrac{800}{3}\implies p=266\frac{2}{3}\implies p\approx 266.\overline{66}

yes, is a large value, because 2/3 is indeed larger than 1/4, more than twice as large.
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