Mixed Number to Decimal: Finding the Value of 2 1/10

Mixed Number Conversion with Decimal Form

2110= 2\frac{1}{10}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 First, let's convert the number into a decimal fraction.
00:07 Next, break it down into a whole number and a fraction part.
00:15 Now, change the fraction into a decimal. Remember to divide the top number by the bottom.
00:24 After that, let's add them together to find the answer.
00:32 And there you have it! That's the solution to our problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

2110= 2\frac{1}{10}=

2

Step-by-step solution

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

  • Step 1: Convert the fractional part 110\frac{1}{10} to a decimal.
  • Step 2: Add the decimal to the whole number part.

Let's work through each step:

Step 1: Convert the fractional part.
The fraction 110\frac{1}{10} can be converted to a decimal because its denominator is 10. This means 110=0.1\frac{1}{10} = 0.1.

Step 2: Add this decimal value to the whole number.
The original mixed number is 21102 \frac{1}{10}. We now add 22 (the whole number) and 0.10.1 (the decimal equivalent of the fraction):
2+0.1=2.1 2 + 0.1 = 2.1 .

Therefore, the solution to the problem is 2.1 2.1 .

3

Final Answer

2.1 2.1

Key Points to Remember

Essential concepts to master this topic
  • Rule: Mixed numbers equal whole number plus fractional part
  • Technique: Convert 110=0.1 \frac{1}{10} = 0.1 , then add to 2
  • Check: Verify 2.1=2+0.1=2110 2.1 = 2 + 0.1 = 2\frac{1}{10} ✓

Common Mistakes

Avoid these frequent errors
  • Converting fraction incorrectly to decimal
    Don't write 110=0.01 \frac{1}{10} = 0.01 = 2.01! This confuses place values and creates wrong decimals. Always remember 110 \frac{1}{10} means 1 divided by 10, which equals 0.1 in the tenths place.

Practice Quiz

Test your knowledge with interactive questions

Convert into fraction form:

\( 0.38= \)

FAQ

Everything you need to know about this question

Why does 110 \frac{1}{10} equal 0.1 and not 0.01?

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Think of it as 1 ÷ 10 = 0.1. The fraction 110 \frac{1}{10} means one-tenth, which goes in the tenths place (first digit after decimal point).

What if the denominator isn't 10?

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You can still convert! For example, 14=0.25 \frac{1}{4} = 0.25 because 1 ÷ 4 = 0.25. Just divide the numerator by the denominator.

How do I add the whole number and decimal?

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Simply place the decimal after the whole number! For 2110 2\frac{1}{10} , you get 2 + 0.1 = 2.1. The whole number stays the same, just add the decimal part.

Can I check my answer by converting back?

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Absolutely! Take 2.1 and split it: 2 (whole number) + 0.1 (which is 110 \frac{1}{10} ) = 2110 2\frac{1}{10} . Perfect match!

What if I get confused about place values?

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Remember: tenths = first digit after decimal. So 110 \frac{1}{10} = 0.1 (tenths), 1100 \frac{1}{100} = 0.01 (hundredths), and so on.

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