Question

Raplace each blank with <,>,= to make a true statement 11/12 (<, >, or =) 2/3

Answer 1

There are two ways to find the answer. You could use cross-product or common denominator. To get the common denominator, change the denominators to 12 by multiplying both sides of 2/3 by 4. This gives you 8/12. 8/12 is less than 11/12. 
Cross-product is easier and more time saving than changing into common denominators, though. In order to do this, set up your fractions vertically. Multiply the numerator of the first by the denominator of the second. Place the product above the second fraction. Then, multiply the numerator of the second fraction by the denominator of the first. Next, place the product above the first fraction. Then compare the two products. Whichever fraction has the greater number on top is the greater fraction. To do this, 11x3 is 33. Write that over 2/3. 2x12 is 24. Write that over 11/12. Since 33 is greater than 24, 2/3 is greater. 
The final answer is: 11/12<2/3.

Answer 2

11/12 > 2/3 because :
2/3 = 8/12