What is 1/3 ÷ 1/9?

Study for the TABE Math Test. Practice with flashcards and multiple-choice questions, each question offers hints and explanations. Get ready for your exam!

Multiple Choice

What is 1/3 ÷ 1/9?

Explanation:
Dividing by a fraction is the same as multiplying by its reciprocal. So 1/3 ÷ 1/9 becomes (1/3) × (9/1). Multiply the numerators and denominators: 1×9 = 9 and 3×1 = 3, giving 9/3 = 3. Intuitively, you’re asking how many 1/9 pieces fit into 1/3, and there are three of them. The other numbers don’t match that result, since the actual value is 3.

Dividing by a fraction is the same as multiplying by its reciprocal. So 1/3 ÷ 1/9 becomes (1/3) × (9/1). Multiply the numerators and denominators: 1×9 = 9 and 3×1 = 3, giving 9/3 = 3. Intuitively, you’re asking how many 1/9 pieces fit into 1/3, and there are three of them. The other numbers don’t match that result, since the actual value is 3.

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