Convert Mixed Number: Finding the Decimal Form of 2 7/100

Mixed Number Conversion with Hundredths Place

27100= 2\frac{7}{100}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's start by converting the number into a decimal fraction.
00:07 First, separate the number into its whole part and its fractional part.
00:14 Next, turn the fractional part into a decimal fraction.
00:27 Then, we simply add them together.
00:37 And there you have it! That's how we solve this problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

27100= 2\frac{7}{100}=

2

Step-by-step solution

To solve this problem, we'll convert the mixed number 27100 2\frac{7}{100} to a decimal:

  • Step 1: Convert the fraction part 7100\frac{7}{100} into a decimal by performing the division 7÷1007 \div 100.

The division 7÷1007 \div 100 equals 0.07.

  • Step 2: Combine this decimal (0.07) with the whole number part (2) to get the final result.

Adding them together: 2+0.07=2.072 + 0.07 = 2.07.

Therefore, the decimal representation of 27100 2\frac{7}{100} is 2.07 2.07 .

3

Final Answer

2.07 2.07

Key Points to Remember

Essential concepts to master this topic
  • Rule: Mixed numbers have a whole part plus a fractional part
  • Technique: Divide numerator by denominator: 7÷100=0.07 7 \div 100 = 0.07
  • Check: Add whole and decimal parts: 2+0.07=2.07 2 + 0.07 = 2.07 ✓

Common Mistakes

Avoid these frequent errors
  • Placing decimal in wrong position
    Don't think 7100=0.7 \frac{7}{100} = 0.7 = 2.7 2.7 ! This ignores place value and gives an answer 10 times too large. Always remember that 100 in the denominator means hundredths place, so 7100=0.07 \frac{7}{100} = 0.07 .

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 7100 \frac{7}{100} equal 0.07 and not 0.7?

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The denominator 100 tells you the place value! Since 100 = 10², the fraction goes to the hundredths place (two decimal places). Think of it as 7 hundredths, which is 0.07.

What if I have a fraction like 710 \frac{7}{10} instead?

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With denominator 10, you only need one decimal place! So 710=0.7 \frac{7}{10} = 0.7 and 2710=2.7 2\frac{7}{10} = 2.7 .

Do I always add the whole number to the decimal?

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Yes! A mixed number means addition: 27100=2+7100=2+0.07=2.07 2\frac{7}{100} = 2 + \frac{7}{100} = 2 + 0.07 = 2.07 . The whole number and fraction are combined.

How can I remember place values for denominators?

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Count the zeros! Denominator 10 (1 zero) = tenths (1 decimal place). Denominator 100 (2 zeros) = hundredths (2 decimal places). Denominator 1000 (3 zeros) = thousandths (3 decimal places).

What if my fraction doesn't have 10, 100, or 1000 in the denominator?

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You'll need to convert it first! For example, 14=25100=0.25 \frac{1}{4} = \frac{25}{100} = 0.25 . Find an equivalent fraction with a power of 10 in the denominator, then convert to decimal.

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