Final answer:
The correct answer is none of the given option. To find which expressions are equal to 3/4, we can simplify each expression and compare them to 3/4. Option A, B, C, D, and E are not equal to 3/4.
Step-by-step explanation:
To find which expressions are equal to 3/4, we can simplify each expression and compare them to 3/4. Let's go through each option:
A. 8/15 - 5/11:
First, we find a common denominator, which is 165. Then, we subtract the numerators and keep the common denominator: (88/165) - (75/165) = 13/165. This expression is not equal to 3/4.
B. 7/12 + 1/6:
We find a common denominator, which is 12. Then, we add the numerators and keep the common denominator: (7/12) + (2/12) = 9/12. This expression is not equal to 3/4.
C. 5/6 - 1/12:
We find a common denominator, which is 12. Then, we subtract the numerators and keep the common denominator: (10/12) - (1/12) = 9/12. This expression is not equal to 3/4.
D. 1 + 1/4:
We convert 1 to a fraction with the same denominator as 1/4, which is 4. Then, we add the fractions: (4/4) + (1/4) = 5/4. This expression is not equal to 3/4.
E. 1 7/20 - 3/5:
We convert 1 to a fraction with the same denominator as 20, which is 20. Then, we find a common denominator, which is 20. Then we subtract the numerators and keep the common denominator: (27/20) - (12/20) = 15/20. This expression is not equal to 3/4.
So, the correct option is none of the given expressions; none of them are equal to 3/4.