Let a = 11/13, b = 13/14 and c = 15/17 be three fractions. Which of the following is true ?

The correct answer is 11/13 < 15/17 < 13/14.

To compare the three given fractions, let us convert each fraction into its decimal form or evaluate their values step-by-step:

Given fractions:

$a=\frac{11}{13}$

$b=\frac{13}{14}$

$c=\frac{15}{17}$

Now, let us calculate the approximate decimal value of each fraction:

1. Value of $a=\frac{11}{13}$:

$11÷13\approx 0.84615$

2. Value of $b=\frac{13}{14}$:

$13÷14\approx 0.92857$

3. Value of $c=\frac{15}{17}$:

$15÷17\approx 0.88235$

Comparing the decimal values:

$0.84615<0.88235<0.92857$

Substituting the corresponding fractions back:

$\frac{11}{13}<\frac{15}{17}<\frac{13}{14}$

Therefore, the correct inequality statement is 11/13 < 15/17 < 13/14.