To find the quotient Two-fifths divided by one-fourth,

Question

multiply Two-fifths by 4.
multiply Two-fifths by One-fourth.
multiply Five-halves by One-fourth.
multiply Five-halves by 4.

Answer 1

To find the quotient of two-fifths divided by one-fourth $(\frac{2}{5}÷\frac{1}{4})$, 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:

$$\frac{2}{5}÷\frac{1}{4}=\frac{2}{5}\times 4$$

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 $\frac{8}{5}$.