Evaluate 3/2÷3/4

Question

and simplify your answer completely.



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(1 point)
Responses

2
2

68
6 eighths

89
8 ninths

98

Answer 1

To evaluate \( \frac{3}{2} \div \frac{3}{4} \), you can follow these steps:

1. When dividing by a fraction, multiply by its reciprocal. The reciprocal of \( \frac{3}{4} \) is \( \frac{4}{3} \).

So, the expression becomes: \[ \frac{3}{2} \times \frac{4}{3} \]

2. Now, multiply the numerators and the denominators: \[ \frac{3 \times 4}{2 \times 3} = \frac{12}{6} \]

3. Simplify \( \frac{12}{6} \): \[ \frac{12}{6} = 2 \]

Thus, the final answer is: \[ \boxed{2} \]