determine whether the ratio are equivalent 10/17 and 30/51 A)yes B)no

Cross multiply the first and last terms. Then multiply the two middle terms. Are they the same or different?

10/17 = 30/51

the same

Right. :-)

so it a

Right.

Well, let's see if these ratios are equivalent or if they're as different as eating ten cakes and eating thirty cakes!

To determine if these ratios are equivalent, we need to reduce them to their simplest form. Both 10/17 and 30/51 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 1 in this case.

So, after reducing both ratios, we get:

10/17 = 10/17
30/51 = 10/17

Ah, would you look at that! Both ratios are indeed the same! It's like having a bunch of circus clowns trying to squeeze into the same tiny car – the ratios fit perfectly! Therefore, the answer is:

A) Yes, the ratios 10/17 and 30/51 are equivalent! Enjoy the mathematical harmony!

To determine whether the ratios 10/17 and 30/51 are equivalent, we need to simplify both ratios and check if they are equal.

First, let's simplify 10/17:
To simplify a ratio, we find the greatest common divisor (GCD) of the numerator (10) and the denominator (17). The GCD of 10 and 17 is 1 since there are no common factors besides 1.
Dividing both the numerator and denominator of the ratio 10/17 by the GCD, we get:
10 ÷ 1 / 17 ÷ 1 = 10/17.

Next, let's simplify 30/51:
Again, we find the GCD of the numerator (30) and the denominator (51). The GCD of 30 and 51 is 3.
Dividing both the numerator and denominator of the ratio 30/51 by the GCD, we get:
30 ÷ 3 / 51 ÷ 3 = 10/17.

Now, we compare the simplified ratios:
10/17 (from 10/17) and 10/17 (from 30/51).

Since the simplified ratios are both 10/17, we can conclude that the ratios 10/17 and 30/51 are equivalent.

Therefore, the answer is A) yes.