Answer:
the ratios 10:15 and 9:12 are not equal.
Explanation:
To compare two ratios, we need to check if they are equivalent. Ratios are equivalent when they can be simplified to the same fraction or decimal.
Let's simplify the ratios 10:15 and 9:12:
10:15 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5:
10 ÷ 5 : 15 ÷ 5
2:3
9:12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
9 ÷ 3 : 12 ÷ 3
3:4
Since 2:3 is not equal to 3:4, we can conclude that 10:15 is not equal to 9:12.
In summary, the ratios 10:15 and 9:12 are not equal.