To solve this expression, let's simplify each fraction separately:
First, let's simplify 2 7/65 to an improper fraction:
2 7/65 = (2 * 65 + 7)/65 = 137/65
Now, let's simplify 3/26:
Next, let's multiply the fractions:
(137/65 - 3/26) * 13/14
To subtract fractions, we need to have a common denominator. In this case, we can use 65 as the common denominator:
(137/65 - 3/26) = (137 * 2/65 * 2 - 3)/65 = (274/130 - 3/26)
Now, let's find the common denominator between 130 and 26, which is 130:
(274/130 - 3/26) = (274 * 1/130 * 1 - 3 * 5)/130 = (274 - 15)/130 = 259/130
Finally, let's multiply by 13/14:
(259/130) * (13/14) = (259 * 13)/(130 * 14) = 3367/1820
The final answer is 3367/1820, which can be further simplified.
