Sure, let's convert 8.7 kg to pounds and ounces step-by-step.
### Step 1: Convert kilograms to pounds
The conversion factor from kilograms to pounds is:
[tex]\[ 1 \text{ kg} = 2.2 \text{ lb} \][/tex]
So, to convert 8.7 kg to pounds:
[tex]\[ 8.7 \text{ kg} \times 2.2 \text{ lb/kg} = 19.14 \text{ lb} \][/tex]
### Step 2: Get the integer and fractional parts of the pounds
Here, 19.14 lb can be broken down into:
- Integer part: 19 lb
- Fractional part: 0.14 lb
### Step 3: Convert the fractional part of pounds to ounces
We know that:
[tex]\[ 1 \text{ lb} = 16 \text{ oz} \][/tex]
To convert the fractional part (0.14 lb) to ounces:
[tex]\[ 0.14 \text{ lb} \times 16 \text{ oz/lb} = 2.24 \text{ oz} \][/tex]
### Final Conversion
Putting it all together, 8.7 kg is equivalent to:
- Pounds: 19 lb
- Ounces: 2.24 oz
So, 8.7 kilograms converts to 19.14 pounds and 2.24 ounces (rounded to the nearest hundredth).