Convert Mixed Number 2 1/10 to Decimal Form: Step-by-Step Solution

Q: Why is 1/10 equal to 0.1?

Think of place value! The first digit after the decimal point is the tenths place. So $ \frac{1}{10} $ means 1 tenth, which goes in the tenths place as 0.1.

Q: What if the denominator isn't 10?

You can still convert! For example, $ \frac{1}{4} = 0.25 $ because 1 ÷ 4 = 0.25. Always divide the numerator by the denominator to get the decimal.

Q: Do I need to do anything special with the whole number?

No! The whole number part stays exactly the same. Just convert the fraction to a decimal and add them together.

Q: How can I check if 2.1 is correct?

Convert back! 2.1 means 2 whole units plus 0.1 (which is $ \frac{1}{10} $). So 2.1 = $ 2\frac{1}{10} $ ✓

Q: Is there a faster way to do this?

Yes! When the denominator is 10, 100, 1000, etc., just move the decimal point. For tenths, put the numerator in the first decimal place: $ \frac{1}{10} $ becomes 0.1

Mixed Numbers with Tenths Conversion

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to decimal fraction

00:03 Break down into whole number and fraction

00:09 Convert from whole number to proper fraction

00:24 Add using common denominator

00:30 Convert from fraction to decimal fraction

00:33 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

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

Step-by-step solution

To convert the mixed number $2\frac{1}{10}$ into a decimal, follow these steps:

Step 1: Recognize the fractional part is $\frac{1}{10}$ . With a denominator of 10, convert it directly to a decimal by placing the numerator in the tenths position: $\frac{1}{10} = 0.1$ .
Step 2: Add this decimal to the integer part (2), so $2 + 0.1 = 2.1$ .

The decimal equivalent of the mixed number $2\frac{1}{10}$ is $\text{2}.1$ .

Therefore, the solution to the problem is $\text{2}.1$ , which matches choice .

Final Answer

$\text{2}.1$

Key Points to Remember

Essential concepts to master this topic

Rule: Add whole number to decimal form of fraction
Technique: $\frac{1}{10} = 0.1$ , so $2 + 0.1 = 2.1$
Check: Convert back: 2.1 = 2 and 1 tenth = $2\frac{1}{10}$ ✓

Common Mistakes

Avoid these frequent errors

Converting the whole number incorrectly
Don't change the whole number 2 into something else = wrong decimal! The whole number stays exactly the same in decimal form. Always keep the whole number part unchanged and only convert the fraction.

Practice Quiz

Test your knowledge with interactive questions

Convert into fraction form:

$$ 0.38= $$

FAQ

Everything you need to know about this question

Why is 1/10 equal to 0.1?

Think of place value! The first digit after the decimal point is the tenths place. So $\frac{1}{10}$ means 1 tenth, which goes in the tenths place as 0.1.

What if the denominator isn't 10?

You can still convert! For example, $\frac{1}{4} = 0.25$ because 1 ÷ 4 = 0.25. Always divide the numerator by the denominator to get the decimal.

Do I need to do anything special with the whole number?

No! The whole number part stays exactly the same. Just convert the fraction to a decimal and add them together.

How can I check if 2.1 is correct?

Convert back! 2.1 means 2 whole units plus 0.1 (which is $\frac{1}{10}$ ). So 2.1 = $2\frac{1}{10}$ ✓

Is there a faster way to do this?

Yes! When the denominator is 10, 100, 1000, etc., just move the decimal point. For tenths, put the numerator in the first decimal place: $\frac{1}{10}$ becomes 0.1

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