To find the quotient of two-fifths divided by one-fourth \(\left(\frac{2}{5} \div \frac{1}{4}\right)\), you can multiply two-fifths by the reciprocal of one-fourth.
The reciprocal of one-fourth is four, so you can express the operation like this:
\[ \frac{2}{5} \div \frac{1}{4} = \frac{2}{5} \times 4 \]
Therefore, the correct approach is to multiply two-fifths by 4.
To summarize, just to solve it:
\[ \frac{2}{5} \times 4 = \frac{2 \times 4}{5} = \frac{8}{5} \]
So, the quotient of two-fifths divided by one-fourth is \(\frac{8}{5}\).
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