Final answer:
The equivalent fractions are 9/28, 3/8, 24/64, and 15/40.
Step-by-step explanation:
To determine which of the given fractions are equivalent, we need to find the equivalent fractions for each fraction. Equivalent fractions have the same value, but different numerators and denominators.
Let's check each option:
(a) 9/28: To find the equivalent fraction, we can multiply both the numerator and denominator by the same number. Multiplying by 4 gives us 36/112, which is equivalent to 9/28.
(b) 3/8: This fraction is already in simplest form and cannot be simplified any further.
(c) 24/64: We can divide both the numerator and denominator by 8 to get 3/8, which is equivalent.
(d) 21/54: This fraction is not in simplest form. We can divide both the numerator and denominator by their greatest common factor, which is 3, giving us 7/18, which is equivalent.
(e) 15/40: We can divide both the numerator and denominator by 5 to get 3/8, which is equivalent.
Therefore, the equivalent fractions are: (a) 9/28, (b) 3/8, (c) 24/64, and (e) 15/40.