Compute 3/4 ÷ 2/5 and express the result in simplest form.

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Multiple Choice

Compute 3/4 ÷ 2/5 and express the result in simplest form.

Dividing by a fraction means multiplying by its reciprocal. So 3/4 ÷ 2/5 becomes 3/4 × 5/2. Multiply across: (3×5)/(4×2) = 15/8. This is already in simplest form since 15 and 8 have no common factors other than 1. If you prefer a mixed number, 15/8 = 1 7/8.

Dividing by a fraction means multiplying by its reciprocal. So 3/4 ÷ 2/5 becomes 3/4 × 5/2. Multiply across: (3×5)/(4×2) = 15/8. This is already in simplest form since 15 and 8 have no common factors other than 1. If you prefer a mixed number, 15/8 = 1 7/8.

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