Question

Are the two ratios proportional?

7/35 = 35/70
A. Yes, because they have very similar numbers in each of the fractions.
B. No, because when I cross multiply (butterfly method) the products are not the same on each side.
C. Yes, because when you cross multiply and reduce the ratios are equal.
D. No, because when you multiply the ratios straight across it does not equal 1.

Answer 1

The ratios 7/35 and 35/70 are not proportional because their cross multiplication products are not equal, and the simplified forms (1/5 and 1/2) are not the same.

Step-by-step explanation:

To determine if two ratios are proportional, we can use the cross multiplication method. For the ratios 7/35 and 35/70, we cross multiply to see if the products are equivalent. Cross multiplying the first ratio by the second, we get 7 × 70 and 35 × 35. Calculating these products gives us 490 and 1225, respectively, which are not equal. Therefore, the ratios are not proportional.

Another way to see if the ratios are proportional is by simplifying each ratio and comparing the simplified forms. Simplifying 7/35, we get 1/5, and simplifying 35/70, we get 1/2. Since 1/5 does not equal 1/2, the ratios are not proportional.