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What is the result of the expression (5/8) / (3/4)?

  1. 2/3

  2. 5/6

  3. 3/4

  4. 7/8

The correct answer is: 5/6

To evaluate the expression (5/8) / (3/4), you can rewrite the division of fractions as multiplication by the reciprocal. This means that dividing by (3/4) is the same as multiplying by the reciprocal, which is (4/3). The calculation becomes: (5/8) * (4/3) Next, multiply the numerators together and the denominators together: Numerators: 5 * 4 = 20 Denominators: 8 * 3 = 24 So, the expression simplifies to: 20 / 24 To simplify this fraction, you can divide both the numerator and the denominator by their greatest common divisor, which is 4: 20 ÷ 4 = 5 24 ÷ 4 = 6 Thus, you end up with: 5 / 6 Therefore, the correct answer is 5/6, confirming that this choice accurately represents the result of the original expression.