What is the result of (1/4) ÷ (1/8)?

To find the result of ( \frac{1}{4} \div \frac{1}{8} ), you can think of division by a fraction as multiplying by its reciprocal. The reciprocal of ( \frac{1}{8} ) is ( 8 ). Therefore, you can rewrite the expression as:

[

\frac{1}{4} \div \frac{1}{8} = \frac{1}{4} \times 8

]

Now, when you multiply ( \frac{1}{4} ) by ( 8 ), it simplifies to:

[

\frac{1 \times 8}{4} = \frac{8}{4} = 2

]

This demonstrates that the correct way to frame the division of two fractions is to change the division into multiplication by the reciprocal. The choice that accurately reflects this operation is ( \frac{1}{4} \times 8 ), as it directly represents the process of dividing a fraction by another fraction.

In contrast, the other choices do not represent the correct approach for this operation. For instance, ( \frac{1}{2} ) does not result from this calculation, and like (