Which expression will give a product of 14/9 ?(1 point) Responses 9×17 9 times 1 seventh 2×79 2 times 7 ninths 9×27 9 times 2 sevenths 2×19 2 times 1 ninth

Answer 1

To find which expression gives a product of \( \frac{14}{9} \), we can evaluate the options given:

1. 9 × 17 = 153 (not \( \frac{14}{9} \))

2. 9 times 1 seventh = \( 9 \times \frac{1}{7} = \frac{9}{7} \) (not \( \frac{14}{9} \))

3. 2 × 79 = 158 (not \( \frac{14}{9} \))

4. 2 times 7 ninths = \( 2 \times \frac{7}{9} = \frac{14}{9} \) (this is \( \frac{14}{9} \))

5. 9 × 27 = 243 (not \( \frac{14}{9} \))

6. 9 times 2 sevenths = \( 9 \times \frac{2}{7} = \frac{18}{7} \) (not \( \frac{14}{9} \))

7. 2 × 19 = 38 (not \( \frac{14}{9} \))

8. 2 times 1 ninth = \( 2 \times \frac{1}{9} = \frac{2}{9} \) (not \( \frac{14}{9} \))

The correct expression that gives a product of \( \frac{14}{9} \) is:

2 times 7 ninths (Option 4).

Answer 2

Find: 1/13÷23 (1 point) Responses 11/2 11 halves 13/6 13 sixths 33/5 33 fifths 22/9

Answer 3

To solve \( \frac{1}{13} \div 23 \), we can rewrite the division as multiplication by the reciprocal:

\[ \frac{1}{13} \div 23 = \frac{1}{13} \times \frac{1}{23} = \frac{1 \times 1}{13 \times 23} = \frac{1}{299} \]

Now, let's compare it to the given options:

1. 11/2 or 11 halves = 5.5 (not \( \frac{1}{299} \))

2. 13/6 or 13 sixths = Approximately 2.17 (not \( \frac{1}{299} \))

3. 33/5 or 33 fifths = 6.6 (not \( \frac{1}{299} \))

4. 22/9 = Approximately 2.44 (not \( \frac{1}{299} \))

None of the provided options matches \( \frac{1}{299} \). It seems there might be an issue with the responses provided, as \( \frac{1}{299} \) doesn't correspond to any of the options listed. If you have additional context or check if there's an error in the responses, let me know!