Question

which expression is equivalent to $\frac{4}{9} \times 2$? $2 \times \frac{2}{9}$ $2 \times \frac{9}{2}$ $4 \times \frac{9}{2}$ $4 \times \frac{2}{9}$

Explanation:

Step1: Calculate original expression

$\frac{4}{9} \times 2 = \frac{8}{9}$

Step2: Evaluate option A

$2 \times \frac{2}{9} = \frac{4}{9}$

Step3: Evaluate option B

$2 \times \frac{9}{2} = 9$

Step4: Evaluate option C

$4 \times \frac{9}{2} = 18$

Step5: Evaluate option D

$4 \times \frac{2}{9} = \frac{8}{9}$

Step6: Match results

$\frac{8}{9} = \frac{8}{9}$, so option D matches.

Answer:

D. $4 \times \frac{2}{9}$