Answer:
Explanation:
Two ratios are proportional if their cross products are equal. That is, if we multiply the numerator of one ratio by the denominator of the other ratio, the result should be equal to the product of the denominator of the first ratio with the numerator of the second ratio.
Let's see if this holds true for 1/9 and 6/54:
(1 x 54) = 54
(9 x 6) = 54
Since the cross products are equal, we can say that 1/9 and 6/54 are proportional.
To simplify the ratio, we can divide the numerator and denominator by their greatest common factor (GCF), which is 3.
1/9 ÷ 3/3 = 1/27
6/54 ÷ 3/3 = 2/18 = 1/9
Thus, the simplified ratio of 1/9 and 6/54 is 1/9, and we can see that 1/9 and 6/54 are in fact proportional.