To find out how much hay the horses are fed each day, we first need to determine how much hay they are fed relative to the cattle.
The cattle are fed \( 2 \frac{1}{4} \) bales of hay each day. We can convert this mixed number into an improper fraction:
\[ 2 \frac{1}{4} = \frac{2 \times 4 + 1}{4} = \frac{8 + 1}{4} = \frac{9}{4} \]
Now, we know that the horses are fed \( \frac{1}{4} \) as much hay as the cattle:
\[ \text{Hay for horses} = \frac{1}{4} \times \frac{9}{4} \]
To perform the multiplication, we multiply the numerators and the denominators:
\[ \text{Hay for horses} = \frac{1 \times 9}{4 \times 4} = \frac{9}{16} \]
Thus, the horses are fed \( \frac{9}{16} \) bales of hay each day.
Final answer:
\(\frac{9}{16}\) bales of hay
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