Convert 6.01 to Mixed Number: Decimal to Fraction Exercise

Mixed Number Conversions with Hundredths

61100= 6\frac{1}{100}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert to decimal fraction
00:04 Break down the number into whole number and fraction
00:10 Convert from fraction to decimal fraction
00:17 Add
00:20 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

61100= 6\frac{1}{100}=

2

Step-by-step solution

The solution involves converting the mixed number 611006\frac{1}{100} to its decimal counterpart.

  • Step 1: Identify the given mixed number. It consists of a whole number part, 6, and a fractional part, 1100\frac{1}{100}.
  • Step 2: Convert the fractional part. To convert 1100\frac{1}{100} to a decimal, divide 1 by 100:

1÷100=0.011 \div 100 = 0.01.

  • Step 3: Add this decimal to the whole number 6 to form a proper decimal.

Thus, 6+0.01=6.016 + 0.01 = 6.01.

The decimal equivalent of 611006\frac{1}{100} is therefore 6.016.01.

Comparing this result to the provided choices, option 4 is 6.016.01, which matches our calculated result.

3

Final Answer

6.01 6.01

Key Points to Remember

Essential concepts to master this topic
  • Structure: Mixed numbers have whole number plus proper fraction parts
  • Technique: Convert 1100=1÷100=0.01 \frac{1}{100} = 1 ÷ 100 = 0.01
  • Check: Verify 6+0.01=6.01 6 + 0.01 = 6.01 matches the original mixed number ✓

Common Mistakes

Avoid these frequent errors
  • Converting the fraction incorrectly to 0.1 instead of 0.01
    Don't divide 1 by 10 thinking 1100=0.1 \frac{1}{100} = 0.1 = 6.1! This confuses tenths with hundredths place values. Always divide 1 by 100 to get 0.01 for the hundredths place.

Practice Quiz

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How much of the whole does the shaded area (blue) represent?

FAQ

Everything you need to know about this question

Why does 1100 \frac{1}{100} equal 0.01 and not 0.1?

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Because 100 has two zeros, which means hundredths place! 110=0.1 \frac{1}{10} = 0.1 (tenths) but 1100=0.01 \frac{1}{100} = 0.01 (hundredths). Count the decimal places!

How do I know which decimal place to use?

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Look at the denominator: 10 = tenths (0.1), 100 = hundredths (0.01), 1000 = thousandths (0.001). The number of zeros tells you how many decimal places!

What if I have a different fraction like 3100 \frac{3}{100} ?

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Same process! 3100=3÷100=0.03 \frac{3}{100} = 3 ÷ 100 = 0.03 . The numerator becomes the digits after the decimal point, placed according to the denominator.

Can I convert this back to check my work?

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Yes! Take 6.01: the whole number is 6, and 0.01 = 1100 \frac{1}{100} . So 6.01 = 61100 6\frac{1}{100} ✓

What about mixed numbers with different denominators?

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Same steps! Convert the fraction part to decimal first, then add to the whole number. For example: 5310=5+0.3=5.3 5\frac{3}{10} = 5 + 0.3 = 5.3

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