Express the Decimal: Write 6.2 in Different Forms

Decimal Conversion with Mixed Numbers

6.2= 6.2=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's convert the decimal number into a mixed number.
00:06 First, break it down into a whole number, and a remainder.
00:11 Now, change the remainder into a fraction.
00:17 Then, add this fraction to the whole number.
00:21 And there you have it! We've solved the problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

6.2= 6.2=

2

Step-by-step solution

To solve this problem, we'll convert the decimal 6.2 6.2 into a mixed number. Here's how:

  • Step 1: Identify the whole number in the decimal. In 6.2 6.2 , the whole number is 6 6 .
  • Step 2: Extract the decimal fraction. The fraction part is 0.2 0.2 .
  • Step 3: Convert 0.2 0.2 into a fraction. Since 0.2 0.2 is 2 tenths, it is expressed as 210 \frac{2}{10} .
  • Step 4: Simplify 210 \frac{2}{10} . This fraction can be simplified to 15 \frac{1}{5} , but as we're asked for a denominator of 10, we will keep it as 210 \frac{2}{10} .
  • Step 5: Combine the whole number and the fractional part. The mixed number is 6210 6 \frac{2}{10} .

Therefore, the correct mixed number form of the decimal 6.2 is 6210 6 \frac{2}{10} .

3

Final Answer

6210 6\frac{2}{10}

Key Points to Remember

Essential concepts to master this topic
  • Conversion Rule: Whole number stays same, decimal becomes fraction
  • Technique: 0.2=210 0.2 = \frac{2}{10} since 2 is in tenths place
  • Check: Convert back: 6210=6.2 6\frac{2}{10} = 6.2

Common Mistakes

Avoid these frequent errors
  • Placing decimal digits in wrong denominator
    Don't put 0.2 as 2100 \frac{2}{100} = wrong place value! The 2 is in the tenths place, not hundredths. Always use denominator that matches the decimal place: tenths = 10, hundredths = 100.

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

\( \frac{5}{100}= \)

FAQ

Everything you need to know about this question

How do I know what denominator to use?

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Look at the decimal place! If the digit is in the tenths place (first after decimal), use 10. If it's in the hundredths place (second after decimal), use 100.

Why is 6.2 not equal to 52100 5\frac{2}{100} ?

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Because 52100=5.02 5\frac{2}{100} = 5.02 , not 6.2! The whole number part must stay the same, and 2100 \frac{2}{100} equals 0.02, not 0.2.

Should I simplify the fraction part?

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You can simplify 210 \frac{2}{10} to 15 \frac{1}{5} , but keep it as 210 \frac{2}{10} if the problem asks for tenths or if answer choices use tenths.

What if the decimal has more digits like 6.25?

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Count the decimal places! 6.25 has 2 decimal places (hundredths), so it becomes 625100 6\frac{25}{100} . More places = bigger denominator.

How can I check my answer quickly?

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Convert your mixed number back to decimal: 6210=6+0.2=6.2 6\frac{2}{10} = 6 + 0.2 = 6.2 . If it matches the original, you're correct!

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