Evaluate 3/2÷3/4

and simplify your answer completely.



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(1 point)
Responses

6/8
6 eighths

8/9
8 ninths

9/8
9 eighths

2
2

1 answer

To evaluate \( \frac{3}{2} \div \frac{3}{4} \), you can multiply by the reciprocal of the divisor. Here are the steps:

  1. Write down the division problem: \[ \frac{3}{2} \div \frac{3}{4} \]

  2. Change the division to multiplication by the reciprocal: \[ \frac{3}{2} \times \frac{4}{3} \]

  3. Multiply the fractions: \[ \frac{3 \times 4}{2 \times 3} = \frac{12}{6} \]

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

So the final answer is: \[ 2 \]

The correct response is:

  • 2