Certainly! Let's find the ratio of 112 pounds to 49 pounds and express it in its lowest terms through a step-by-step process.
1. Identify the given values:
- We have 112 pounds and 49 pounds.
2. Determine the Greatest Common Divisor (GCD):
- The GCD of 112 and 49 is the largest positive integer that divides both numbers without leaving a remainder. Here, the GCD is 7.
3. Divide both numbers by the GCD:
- Divide 112 by 7:
[tex]\[
112 \div 7 = 16
\][/tex]
- Divide 49 by 7:
[tex]\[
49 \div 7 = 7
\][/tex]
4. Express the ratio with the results from the division:
- The ratio of 112 pounds to 49 pounds simplifies to 16:7 when divided by their GCD.
So, the ratio of 112 pounds to 49 pounds in its lowest terms is 16:7.
