Question 6 a Rewrite the division as multiplication by the reciprocal, filling in the missing number. \( 36 \div \frac{4}{9}=36 \cdot \frac{7}{4} \) The solution is

To rewrite the division as multiplication by the reciprocal, remember that dividing by a fraction is the same as multiplying by its reciprocal. In this case, the reciprocal of \(\frac{4}{9}\) is \(\frac{9}{4}\). So, we express \( 36 \div \frac{4}{9} \) as \( 36 \cdot \frac{9}{4} \). Now, to fill in the missing number, we see that \( \frac{9}{4} \) simplifies the calculation, and when you multiply \( 36 \cdot \frac{9}{4} \), you get \( 81 \). So your completed statement would be \( 36 \div \frac{4}{9} = 36 \cdot \frac{9}{4} \).