Interpret the model to determine the fraction used to divide 3/8

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(1 point)
Responses

3/4
Start Fraction 3 over 4 End Fraction

10/16
Start Fraction 10 over 16 End Fraction

5/8
Start Fraction 5 over 8 End Fraction

1/2

1 answer

To determine the fraction to divide \( \frac{3}{8} \), we can interpret this in terms of multiplication by the reciprocal. Dividing by a fraction is the same as multiplying by its reciprocal.

If \(\frac{3}{8}\) is being divided by a fraction \(x\), this can be represented mathematically as:

\[ \frac{3}{8} ÷ x = \frac{3}{8} \times \frac{1}{x} \]

Let's evaluate the provided options to find a suitable fraction \(x\) that, when used to divide \( \frac{3}{8} \), gives us a concrete answer (often we look for a simplified or common fraction).

  1. \( \frac{3}{4} \):

    • This would result in \( \frac{3}{8} ÷ \frac{3}{4} = \frac{3}{8} \times \frac{4}{3} = \frac{4}{8} = \frac{1}{2} \).
  2. \( \frac{10}{16} \):

    • This fraction simplifies to \( \frac{5}{8} \).
    • The operation becomes \( \frac{3}{8} ÷ \frac{5}{8} = \frac{3}{8} \times \frac{8}{5} = \frac{3}{5} \).
  3. \( \frac{5}{8} \):

    • Here, \( \frac{3}{8} ÷ \frac{5}{8} = \frac{3}{8} \times \frac{8}{5} = \frac{3}{5} \).
  4. \( \frac{1}{2} \):

    • This operation gives \( \frac{3}{8} ÷ \frac{1}{2} = \frac{3}{8} \times 2 = \frac{6}{8} = \frac{3}{4} \).

To summarize, the viable options that divide \( \frac{3}{8} \) yield varying outcomes, and we notice that dividing by \( \frac{3}{4} \) results in a fraction of \( \frac{1}{2} \).

Since the question specifically asks for the fraction used to divide \( \frac{3}{8} \), we can say that:

The answer is \( \frac{3}{4} \).