Final answer:
To divide the fraction (7/18) by (7/18), multiply by the reciprocal (18/7). This results in (126/126), which simplifies to 1, as any number divided by itself equals 1.
Step-by-step explanation:
The question asks to divide the fraction (7/18) ÷ (7/18) and reduce it to the lowest terms. When dividing fractions, you can multiply the first fraction by the reciprocal of the second. In this case, the reciprocal of (7/18) is (18/7), so the division is equivalent to multiplying (7/18) by (18/7).
Here is the step-by-step calculation:
(7/18) × (18/7) = (7 × 18) / (18 × 7) = 126/126.
Now, reduce 126/126 to its simplest form:
126/126 = 1, since any number divided by itself is 1.
Therefore, the answer is 1, and this is a reasonable result because the numerators and denominators of the original fractions are the same.