Final answer:
Among the options provided, fractions a (6/8), b (12/16), and d (15/20) are equivalent to 3/4, as they simplify to 3/4. Option c (29/1) is not equivalent.
Step-by-step explanation:
The question is asking us to select all the fractions that are equivalent to 3/4. To determine if the fractions listed are equivalent, we need to compare them to 3/4 by simplifying or by finding a common numerator or denominator where possible.
- a. 6/8: If we divide both the numerator and the denominator by 2, we get 3/4. Therefore, this fraction is equivalent to 3/4.
- b. 12/16: Dividing both the numerator and denominator by 4 gives us 3/4. So, this fraction is also equivalent to 3/4.
- c. 29/1: This fraction is not equivalent to 3/4 because it equals 29, which is not in any way close to 3/4.
- d. 15/20: Dividing both the numerator and the denominator by 5, we obtain 3/4. Hence, this fraction is equivalent to 3/4.