Question

Which fraction makes the statement TRUE?
2/10 < _ < 7/11

A. 9/9
B. 12/13
C. 6/13
D. 1/10

Answer 1

To determine which fraction makes the statement \( \frac{2}{10} < x < \frac{7}{11} \) true, we first need to convert the fractions to decimal form to make comparisons easier.

- \( \frac{2}{10} = 0.2 \)
- \( \frac{7}{11} \approx 0.6363 \)

Now, we are looking for a fraction \( x \) that satisfies \( 0.2 < x < 0.6363 \).

Now, let's convert the options to decimal form:

A. \( \frac{9}{9} = 1.0 \)

B. \( \frac{12}{13} \approx 0.9231 \)

C. \( \frac{6}{13} \approx 0.4615 \)

D. \( \frac{1}{10} = 0.1 \)

Now, we check each option:

- A: \( 1.0 \) is not between \( 0.2 \) and \( 0.6363 \).
- B: \( 0.9231 \) is not between \( 0.2 \) and \( 0.6363 \).
- C: \( 0.4615 \) is between \( 0.2 \) and \( 0.6363 \) (True).
- D: \( 0.1 \) is not between \( 0.2 \) and \( 0.6363 \).

Thus, the only fraction that satisfies the inequality \( \frac{2}{10} < x < \frac{7}{11} \) is:

**C. \( \frac{6}{13} \)**