Why do we use multiplication when dividing fractions. I know how to do the steps, but why do you keep the first number, changed to multiplication, and then write the reciprocal of the fraction. I guess I just don’t understand why we switched to multiplication. Thank you.

1. **Keep the First Fraction:** Write the first fraction as it is.
\frac{a}{b}

2. **Change the Operation:** Change the division sign to a multiplication sign.
\times

3. **Use the Reciprocal:** Use the reciprocal of the second fraction (flip the numerator and denominator).
\frac{d}{c}

4. **Multiply the Fractions:** Multiply the numerators and denominators.
\frac{a \times d}{b \times c}

5. **Answer:** The division of the two given fractions as multiplication results in:
\frac{a \times d}{b \times c}