Compare two fractions via division 3/48 is what part of 1/12? Express the ratio as a single simplified fraction.

Introduction / Context:
“What part of” questions translate to a division of fractions: (given fraction) ÷ (reference fraction). After forming the division, multiply by the reciprocal and simplify completely to obtain the final ratio in lowest terms.

Given Data / Assumptions:

• Given fraction: 3/48.
• Reference fraction: 1/12.
• Compute (3/48) ÷ (1/12).

Concept / Approach:
Division of fractions a/b ÷ c/d equals (a/b) * (d/c). Here, multiply 3/48 by 12/1 and reduce by common factors. Aim for simplest terms to match options or determine if “None of these” applies.

Step-by-Step Solution:
Form the division: (3/48) ÷ (1/12) = (3/48) * (12/1).Simplify 3 * 12 / 48 = 36 / 48.Reduce: divide numerator and denominator by 12 ⇒ 36/48 = 3/4.Therefore, 3/48 is 3/4 of 1/12.

Verification / Alternative check:
Compute decimals: 3/48 = 0.0625 and 1/12 ≈ 0.08333. The ratio 0.0625 / 0.08333… = 0.75 = 3/4, confirming the fractional result.

Why Other Options Are Wrong:
3/7, 1/12, and 4/3 do not equal 3/4; each represents a different magnitude relative to 1.Thus, “None of these” is correct because 3/4 is not listed among the options.

Common Pitfalls:
Forgetting to multiply by the reciprocal; failing to reduce 36/48; or switching the division order to (1/12) ÷ (3/48), which would invert the intended ratio.

Final Answer:
None of these