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Convert 8.7 kg to pounds and ounces.

Conversion ratios:
- [tex]$1 lb = 16 oz$[/tex]
- [tex]$1 kg = 2.2 lb$[/tex]

Round the ounces to the nearest hundredth.

1. Convert kilograms to pounds.
2. Convert the decimal of the pounds to ounces.


Sagot :

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).