In Mrs kyoto class 7/10 of the studebts have pets. Of those students 4/7 have cats what fraction of the class has pet cats

I will be happy to critique your thinking.

what ratio of the class members own a cat

To find the fraction of the class that has pet cats, you need to multiply the fraction of students who have pets (7/10) by the fraction of those students who own cats (4/7).

Here's how you can calculate it step by step:

Step 1: Multiply the numerator of the first fraction by the numerator of the second fraction:
7/10 * 4/7 = (7 * 4) / (10 * 7) = 28/70

Step 2: Simplify the fraction if possible. In this case, both the numerator and the denominator are multiples of 7, so we can divide them both by 7:
28/70 = (28 ÷ 7) / (70 ÷ 7) = 4/10

So, 4/10 of the class has pet cats.