Divide 3 3/4 by 1 2/3.

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Multiple Choice

Divide 3 3/4 by 1 2/3.

Explanation:
Dividing mixed numbers works by turning them into improper fractions and multiplying by the reciprocal. Convert 3 3/4 to 15/4 and 1 2/3 to 5/3. Then divide by a fraction by multiplying by its reciprocal: 15/4 ÷ 5/3 = 15/4 × 3/5. Simplify by canceling 15 with 5 to get 3 × 3 over 4 × 1, which is 9/4. Convert back to a mixed number: 9/4 = 2 with a remainder of 1, so 2 1/4.

Dividing mixed numbers works by turning them into improper fractions and multiplying by the reciprocal. Convert 3 3/4 to 15/4 and 1 2/3 to 5/3. Then divide by a fraction by multiplying by its reciprocal: 15/4 ÷ 5/3 = 15/4 × 3/5. Simplify by canceling 15 with 5 to get 3 × 3 over 4 × 1, which is 9/4. Convert back to a mixed number: 9/4 = 2 with a remainder of 1, so 2 1/4.

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