Evaluate the expression (3/4) ÷ (1/6).

Evaluate the expression (3/4) ÷ (1/6).

• A. 4.5
• B. 2.25
• C. 3
• D. 6

Answer: (A)

Dividing by a fraction is the same as multiplying by its reciprocal. So (3/4) ÷ (1/6) becomes (3/4) × (6/1). Multiply across: 3×6 = 18 and 4×1 = 4, giving 18/4, which simplifies to 9/2, or 4.5. The correct result is 4.5 because you’re effectively scaling 3/4 by how many times 1/6 fits into it, which is the reciprocal operation (multiplying by 6). The other numbers would come from using a different divisor or making a slip in the reciprocal step, so they don’t match the actual calculation.

Dividing by a fraction is the same as multiplying by its reciprocal. So (3/4) ÷ (1/6) becomes (3/4) × (6/1). Multiply across: 3×6 = 18 and 4×1 = 4, giving 18/4, which simplifies to 9/2, or 4.5.

The correct result is 4.5 because you’re effectively scaling 3/4 by how many times 1/6 fits into it, which is the reciprocal operation (multiplying by 6). The other numbers would come from using a different divisor or making a slip in the reciprocal step, so they don’t match the actual calculation.