please check my work :)

which pair of ratios can form a true proportion

a-1/2 6/10
b-6/8 5/20
c-3/5 6/10*
d-3/9 7/80

thanks

You're right.

really? are you sure. sorry I just want to get this test right

Yes.

2 * 3/5 = 6/10

To determine which pair of ratios can form a true proportion, we need to check if the two ratios are equivalent. This can be done by simplifying both ratios and comparing the simplified forms.

Let's analyze the given options:

a) 1/2 and 6/10
To simplify the first ratio, we can divide both numerator and denominator by their greatest common divisor, which is 2 in this case. Doing so, we get 1/2 ÷ 2/2 = 1/2. Similarly, simplifying the second ratio yields 6/10 ÷ 2/2 = 3/5. Since the simplified forms of the two ratios (1/2 and 3/5) are not the same, this option does not form a true proportion.

b) 6/8 and 5/20
Simplifying the first ratio by dividing both numerator and denominator by their greatest common divisor, we have 6/8 ÷ 2/2 = 3/4. Similarly, simplifying the second ratio yields 5/20 ÷ 5/5 = 1/4. Comparing the simplified forms, we can see that 3/4 is not equal to 1/4. Hence, this option does not form a true proportion.

c) 3/5 and 6/10
The first ratio is already in its simplified form. For the second ratio, we can simplify it by dividing both numerator and denominator by their greatest common divisor, which is 2: 6/10 ÷ 2/2 = 3/5. Since both simplified ratios are the same (3/5), this option does form a true proportion.

d) 3/9 and 7/80
To simplify the first ratio, we can divide both numerator and denominator by their greatest common divisor, which is 3: 3/9 ÷ 3/3 = 1/3. For the second ratio, simplifying it by dividing both numerator and denominator by their greatest common divisor yields 7/80 ÷ 1/1 = 7/80. These simplified forms (1/3 and 7/80) are not equal to each other. Hence, this option does not form a true proportion.

Therefore, based on the analysis, the pair of ratios that can form a true proportion is option C: 3/5 and 6/10.