Convert 387¼ kg to Tonnes: Mixed Number Unit Conversion

Unit Conversion with Mixed Numbers

38714kg=?T 387\frac{1}{4}kg=?T

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1

Understand the problem

38714kg=?T 387\frac{1}{4}kg=?T

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert the mixed number into a decimal.
  • Step 2: Use the correct conversion factor to translate kilograms into metric tons.

Let's begin the conversion:


Step 1: Convert the given weight 38714 387\frac{1}{4} kilograms into a decimal.
To convert 38714 387\frac{1}{4} , decode the mixed number: 14=0.25 \frac{1}{4} = 0.25 , so 38714=387+0.25=387.25 387\frac{1}{4} = 387 + 0.25 = 387.25 kg.

Step 2: Use the conversion factor 1 metric ton=1000 kg 1 \text{ metric ton} = 1000 \text{ kg} to convert kilograms into metric tons.
Calculate by dividing the kilograms by 1000:
387.25 kg÷1000=0.38725 metric tons.387.25 \text{ kg} \div 1000 = 0.38725 \text{ metric tons}.

Therefore, the weight of 38714 387\frac{1}{4} kg is equivalent to 0.38725 0.38725 metric tons.

3

Final Answer

0.38725 0.38725

Key Points to Remember

Essential concepts to master this topic
  • Rule: Convert mixed number to decimal before unit conversion
  • Technique: 38714=387+0.25=387.25 387\frac{1}{4} = 387 + 0.25 = 387.25 kg
  • Check: Multiply answer by 1000: 0.38725 × 1000 = 387.25 kg ✓

Common Mistakes

Avoid these frequent errors
  • Converting units without first converting mixed number to decimal
    Don't try to convert 38714 387\frac{1}{4} directly to tonnes = confusing calculation! This leads to errors because you're working with two different conversion steps at once. Always convert the mixed number to decimal first, then apply the unit conversion.

Practice Quiz

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\( 7kg=?gr \)

FAQ

Everything you need to know about this question

Why do I need to convert the mixed number to decimal first?

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Converting 38714 387\frac{1}{4} to 387.25 makes the division much easier! Working with decimals is simpler than trying to divide a mixed number by 1000.

How do I remember the conversion from kg to tonnes?

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Remember that 1 tonne = 1000 kg, so to convert kg to tonnes, you divide by 1000. The answer gets smaller because tonnes are much heavier units!

What if I get a very small decimal answer?

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That's normal! Since tonnes are 1000 times heavier than kilograms, your answer in tonnes should be much smaller than the original kg value. 387.25 kg becomes 0.38725 tonnes.

How can I check if my unit conversion is correct?

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Multiply your answer by 1000 to convert back to kg. If you get your original amount, your conversion is right: 0.38725 × 1000 = 387.25 kg ✓

Is there a shortcut for converting mixed numbers to decimals?

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Yes! For quarters: 14=0.25 \frac{1}{4} = 0.25 , 24=0.5 \frac{2}{4} = 0.5 , 34=0.75 \frac{3}{4} = 0.75 . Just add the decimal to the whole number!

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