Sam weighs 51 kg. What is the weight to the nearest stone? Use the conversion 1 kg = 2.2 pounds and 14 pounds = 1 stone.
The Correct Answer and Explanation is:
To convert Sam’s weight of 51 kg into stones, follow these steps:
Step 1: Convert kilograms to pounds.
We know that 1 kilogram equals 2.2 pounds. So to convert 51 kg to pounds, multiply 51 by 2.2:51 kg×2.2 poundskg=112.2 pounds51 \, \text{kg} \times 2.2 \, \frac{\text{pounds}}{\text{kg}} = 112.2 \, \text{pounds}51kg×2.2kgpounds=112.2pounds
Step 2: Convert pounds to stones.
Next, we need to convert pounds to stones. We know that 1 stone equals 14 pounds. To convert 112.2 pounds to stones, divide 112.2 by 14:112.2 pounds14 poundsstone=8.014 stones\frac{112.2 \, \text{pounds}}{14 \, \frac{\text{pounds}}{\text{stone}}} = 8.014 \, \text{stones}14stonepounds112.2pounds=8.014stones
Step 3: Round to the nearest stone.
Since the value is 8.014 stones, we round it to the nearest whole number, which is 8 stones.
Final Answer:
Sam weighs approximately 8 stones.
Explanation:
First, we converted kilograms to pounds using the given conversion factor (1 kg = 2.2 pounds). Then, we converted pounds to stones by dividing the total pounds by 14, since 1 stone = 14 pounds. Finally, we rounded the result to the nearest stone. This method ensures a precise and understandable conversion from kilograms to stones.
