Explain what it means to divide 2 1/2 by 1/4.

 1/2 divide by 1/4 = 2. How?

1/2 divided by 1/4 means, 1/2 is broken into equal parts of 1/4. You know that 1/4 * 2 = 1/2, this means there are two equal 1/4 parts in 1/2. Thus, the answer is 2.

Still if you did not understand, see this

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Consider, this is a box whose length is 1 cm. It is divided into two equal parts of 1/2 cm.

Now I divide one of the part (1/2 cm) by 1/4. i.e I break that part into many smaller parts all equal to the 1/4 cm
i.e

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.¼ . ¼ . ½

So, i got only 2 parts equaling to 1/4 cm.

Therefore,

1/2 divided by 1/4 = 2.

I hope this would have helped you. BEST OF LUCK