Write the ratio in lowest terms in order to decide whether the proportion is true or false.
9/12 = 2/7
To determine if the proportion is true or false, we need to write both ratios in lowest terms.
The ratio 9/12 can be simplified by dividing both the numerator (9) and denominator (12) by their greatest common divisor, which is 3.
9 ÷ 3 = 3
12 ÷ 3 = 4
Therefore, 9/12 in lowest terms is 3/4.
The ratio 2/7 is already in lowest terms.
So, the given proportion can be rewritten as 3/4 = 2/7.
Since the two ratios are not equal (3/4 ≠ 2/7), the proportion is false.