Determine whether the ratios are equivalent.
10 / 17 and 30 / 51
Choose the best answer from the options below:
A yes
B no
A yes
To determine whether the ratios are equivalent, we need to check if the cross products are equal.
The cross product of 10/17 and 30/51 is calculated by multiplying the numerator of the first fraction (10) by the denominator of the second fraction (51), and multiplying the denominator of the first fraction (17) by the numerator of the second fraction (30):
10/17 * 30/51 = (10 * 51) / (17 * 30) = 510 / 510 = 1
Since the cross products are equal to 1, the ratios are considered equivalent.
Therefore, the answer is: A) yes.