Convert Mixed Number: Solving 12 4/100 in Decimal Form

Mixed Number Conversion with Hundredths

124100= 12\frac{4}{100}=

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Step-by-step video solution

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00:00 Convert to decimal fraction
00:03 Break down the number into whole number and fraction
00:07 Convert to decimal fraction
00:17 Add
00:26 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

124100= 12\frac{4}{100}=

2

Step-by-step solution

To solve the problem of expressing 124100 12\frac{4}{100} as a decimal, we will follow these steps:

  • Step 1: Convert the fraction 4100\frac{4}{100} into a decimal. The fraction 4100\frac{4}{100} is equal to 0.04.
  • Step 2: Add the decimal value to the whole number 12. Therefore, 12+0.04=12.04 12 + 0.04 = 12.04 .

Now, let's work through the steps:

Step 1: Convert the fraction to a decimal.
The fraction 4100\frac{4}{100} is equivalent to dividing 4 by 100, which gives us 0.04.

Step 2: Combine this decimal with the whole number.
Add the decimal 0.04 to the whole number 12. This results in 12+0.04=12.04 12 + 0.04 = 12.04 .

Therefore, the decimal representation of 124100 12\frac{4}{100} is 12.04 12.04 .

3

Final Answer

12.04 12.04

Key Points to Remember

Essential concepts to master this topic
  • Conversion Rule: Convert fraction to decimal first, then add whole number
  • Technique: 4100=0.04 \frac{4}{100} = 0.04 because 4 ÷ 100 = 0.04
  • Check: Verify 12 + 0.04 = 12.04 by counting decimal places ✓

Common Mistakes

Avoid these frequent errors
  • Writing 4/100 as 0.4 instead of 0.04
    Don't write 4100=0.4 \frac{4}{100} = 0.4 = 12.4! This ignores the 100 denominator and gives the wrong decimal place. Always count zeros: 4 ÷ 100 = 0.04 (two decimal places).

Practice Quiz

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FAQ

Everything you need to know about this question

Why is 4/100 equal to 0.04 and not 0.4?

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The denominator 100 means 'hundredths place'. Since 100 has two zeros, the decimal moves two places to the right: 4 ÷ 100 = 0.04.

How do I know where to place the decimal point?

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Count the zeros in the denominator! 10 = one decimal place, 100 = two decimal places, 1000 = three decimal places, and so on.

Can I just add 12 + 4 + 100?

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No! You can't add the parts separately. The fraction 4100 \frac{4}{100} is one value that equals 0.04. Then add: 12 + 0.04 = 12.04.

What if the fraction was 4/10 instead?

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With 10 in the denominator, you'd have one decimal place: 410=0.4 \frac{4}{10} = 0.4 , so 12410=12.4 12\frac{4}{10} = 12.4 .

How can I check my answer is correct?

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Convert back to a mixed number! 12.04 means 12 whole units plus 4 hundredths, which is exactly 124100 12\frac{4}{100} .

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