Which expression will give you the product of 14/9?

2 x 7/9
9 x 1/7
9 x 2/7
2 x 1/9

1 answer

To find which expression gives the product of \( \frac{14}{9} \), we can evaluate each provided option.

  1. For \( 2 \times \frac{7}{9} \): \[ 2 \times \frac{7}{9} = \frac{2 \times 7}{9} = \frac{14}{9} \]

  2. For \( 9 \times \frac{1}{7} \): \[ 9 \times \frac{1}{7} = \frac{9 \times 1}{7} = \frac{9}{7} \]

  3. For \( 9 \times \frac{2}{7} \): \[ 9 \times \frac{2}{7} = \frac{9 \times 2}{7} = \frac{18}{7} \]

  4. For \( 2 \times \frac{1}{9} \): \[ 2 \times \frac{1}{9} = \frac{2 \times 1}{9} = \frac{2}{9} \]

From these calculations, we can see that the only expression that results in \( \frac{14}{9} \) is:

\[ 2 \times \frac{7}{9} \]

So the correct answer is: \[ \boxed{2 \times \frac{7}{9}} \]