Simplify the following ratios.6:72
Divide both numbers by 6.
6:72 becomes 1:??
1:12
To simplify the ratio 6:72, we need to find the greatest common divisor (GCD) of the two numbers. The GCD is the largest number that divides both numbers without leaving a remainder.
Step 1: Find the factors of 6 and 72.
The factors of 6 are 1, 2, 3, and 6.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
Step 2: Identify the common factors.
The common factors of 6 and 72 are 1, 2, 3, and 6.
Step 3: Determine the GCD.
The greatest common divisor (GCD) is the largest common factor, which is 6.
Step 4: Divide both numbers by the GCD.
Dividing 6 by 6 gives us 1.
Dividing 72 by 6 gives us 12.
Therefore, the simplified ratio of 6:72 is 1:12.