To express the rate $56: 16 kg in the lowest terms, follow these steps:
1. Identify the given values:
- Money amount: $56
- Weight: 16 kg
2. Find the greatest common divisor (GCD) of these two numbers. The GCD is the largest number that can exactly divide both values without leaving a remainder.
3. Divide each part of the ratio by the GCD to simplify it to the lowest terms.
4. The GCD of 56 and 16 is 8.
5. Simplify each part of the ratio by dividing them by the GCD (8):
- Divide $56 by 8, which gives \( \frac{56}{8} = 7 \)
- Divide 16 kg by 8, which gives \( \frac{16}{8} = 2 \)
6. The simplified rate is:
- Rate: $7 : 2 kg
Thus, the rate [tex]$56: 16 kg in the lowest terms is $[/tex]7: 2 kg.
