bottle 2 6 10 12 case 10 30 50 60 Simplify each ratio in the table to prove that all the ratios are equivalent. (2 points) 210= , 630= , 1050= , 1260=

Answer 1

To simplify each ratio, divide the numbers in each ratio by their greatest common divisor (GCD).

1. Simplifying 210:
GCD of 210 and 210 is 210.
Dividing both numbers by 210:
210/210 = 1
210/210 = 1

So, 210 simplifies to 1:1.

2. Simplifying 630:
GCD of 630 and 630 is 630.
Dividing both numbers by 630:
630/630 = 1
630/630 = 1

So, 630 simplifies to 1:1.

3. Simplifying 1050:
GCD of 1050 and 1050 is 1050.
Dividing both numbers by 1050:
1050/1050 = 1
1050/1050 = 1

So, 1050 simplifies to 1:1.

4. Simplifying 1260:
GCD of 1260 and 1260 is 1260.
Dividing both numbers by 1260:
1260/1260 = 1
1260/1260 = 1

So, 1260 simplifies to 1:1.

Therefore, all the ratios are equivalent, and they simplify to 1:1.