The statement that the simplified form of the ratio 6 inches to 1 foot is 6:1 is false.
To understand why, let’s break it down:
1. First, we need to ensure that both measurements are in the same unit. Since 1 foot is equal to 12 inches, we can convert 1 foot to inches.
2. Now, the ratio becomes 6 inches to 12 inches.
3. To simplify the ratio, we divide both numbers by their greatest common divisor (GCD). The GCD of 6 and 12 is 6.
4. Dividing both numbers by 6, we get 1:2.
Therefore, the simplified form of the ratio 6 inches to 1 foot is 1:2, not 6:1.