What is the solution for dividing 1/4 by 7?

To find the solution to dividing ( \frac{1}{4} ) by 7, we can represent the division of fractions as multiplying by the reciprocal. When we divide by a whole number, like 7, we can express it as multiplying by its reciprocal, which is ( \frac{1}{7} ).

Thus, dividing ( \frac{1}{4} ) by 7 can be rewritten as follows:

[

\frac{1}{4} \div 7 = \frac{1}{4} \times \frac{1}{7}

]

Next, we multiply the numerators together and the denominators together:

[

\frac{1 \times 1}{4 \times 7} = \frac{1}{28}

]

This process confirms that ( \frac{1}{28} ) is indeed the result of dividing ( \frac{1}{4} ) by 7. The calculation shows how fractions are manipulated, reinforcing the understanding of division as multiplication by the reciprocal.