To determine which fraction is bigger between 3/4 and 2/3, we can compare them by converting them to have the same denominator. The denominators here are 4 and 3. The least common denominator (LCD) for 4 and 3 is 12.
First, convert 3/4 to twelfths:
3/4 = (3 × 3)/(4 × 3) = 9/12
Next, convert 2/3 to twelfths:
2/3 = (2 × 4)/(3 × 4) = 8/12
Now, we can easily compare 9/12 and 8/12. Since 9/12 is greater than 8/12, 3/4 is bigger than 2/3.
So, the answer is: 3/4 is bigger than 2/3.