To find fractions equivalent to 8:32, you can simplify the ratio:
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First, simplify 8:32 by dividing both numbers by their greatest common divisor, which is 8.
\[ \frac{8}{8} : \frac{32}{8} = 1 : 4 \]
So, one equivalent fraction of 8:32 is 1:4.
Now, if you want to fill in the blank with another equivalent fraction, you can multiply both parts of the simplified ratio by the same number. For example, if you multiply by 2:
\[ 1 \times 2 : 4 \times 2 = 2 : 8 \]
Thus, another equivalent fraction of 8:32 is 2:8.
So, if you're filling in the blank for "1: ___", it would be:
1: 4