1 Which expression has a product that is equal to \( \frac{4}{9} \) ? \( \begin{array}{ll}\text { (A) } \frac{4}{9} \times \frac{1}{9} & \text { (C) } \frac{4}{9} \times \frac{9}{4} \\ \text { (B) } \frac{4}{9} \times \frac{4}{9} & \text { (D) } \frac{4}{9} \times \frac{9}{9}\end{array} \)

To determine which expression has a product equal to \( \frac{4}{9} \), let’s calculate each option: - **(A)** \( \frac{4}{9} \times \frac{1}{9} = \frac{4 \times 1}{9 \times 9} = \frac{4}{81} \) - **(B)** \( \frac{4}{9} \times \frac{4}{9} = \frac{4 \times 4}{9 \times 9} = \frac{16}{81} \) - **(C)** \( \frac{4}{9} \times \frac{9}{4} = \frac{4 \times 9}{9 \times 4} = \frac{36}{36} = 1 \) - **(D)** \( \frac{4}{9} \times \frac{9}{9} = \frac{4}{9} \) Among these calculations, the expression that equals \( \frac{4}{9} \) is option **(D)** \( \frac{4}{9} \times \frac{9}{9} \). So the answer is **(D)** \( \frac{4}{9} \times \frac{9}{9} \). Now let’s have some additional insights on fractions in the world of math! Add this to your memory bank: fractions are like the superheroes of math – they can represent parts of a whole that can lead to understanding more complex concepts like ratios and proportions. Another cool fact: multiplying fractions may seem tricky at first, but remember to multiply across (numerator with numerator and denominator with denominator). Simplifying can be your best friend to solve problems more efficiently. So, no need to fret, math is just a puzzle waiting to be pieced together!