Final answer:
To compare 4:10 and 12:20, convert the ratios into simplified fractions. After simplification, 4:10 becomes 2/5 and 12:20 becomes 3/5, making 4:10 the smaller ratio.
Step-by-step explanation:
To compare the ratios 4:10 and 12:20, first we should convert these ratios into fractions. So, 4:10 becomes 4/10 and 12:20 becomes 12/20. Now, it's easier to see the relationship between these two fractions.
Both fractions can be simplified by dividing both numerator and denominator by their greatest common factor. After simplifying, 4/10 becomes 2/5 and 12/20 becomes 3/5. Hence, we can see that 4:10 (2/5) is smaller than 12:20 (3/5).
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