Convert Mixed Number 8 1/10 to Decimal Form: Step-by-Step Solution

Q: Why is 1/10 equal to 0.1?

Think of it this way: 1 divided by 10 equals 0.1. Since 10 is a power of 10, the fraction converts easily - just move the decimal point one place to the left!

Q: Do I always add the decimal to the whole number?

Yes! A mixed number like $ 8\frac{1}{10} $ means 8 plus 1/10. So you convert the fraction part to decimal and add: $ 8 + 0.1 = 8.1 $.

Q: How can I check if 8.1 is correct?

Convert back! Take 8.1: the whole part is 8, and 0.1 = $ \frac{1}{10} $. So 8.1 = $ 8\frac{1}{10} $ ✓

Q: Is there a faster way to do this?

For denominators like 10, 100, 1000: just count the zeros! $ \frac{1}{10} $ has 1 zero, so 1 becomes 0.1 (move decimal 1 place left).

Mixed Numbers with Decimal Conversion

$8\frac{1}{10}=$

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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

00:12 Convert from fraction to decimal fraction

00:18 Add

00:31 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

$8\frac{1}{10}=$

Step-by-step solution

To solve this problem, we'll convert the mixed number $8\frac{1}{10}$ to its decimal form by converting the fractional part $\frac{1}{10}$ and adding it to the integer part.

Step 1: Convert the fraction $\frac{1}{10}$ to a decimal. Since the denominator is 10, $\frac{1}{10}$ is equivalent to 0.1 in decimal form.
Step 2: Add the decimal result $0.1$ to the integer part $8$ . This gives us $8 + 0.1 = 8.1$ .

Therefore, the solution to the problem is $8.1$ , corresponding to choice 2.

Final Answer

$8.1$

Key Points to Remember

Essential concepts to master this topic

Rule: Convert the fraction part to decimal, then add to whole number
Technique: $\frac{1}{10} = 0.1$ , so $8 + 0.1 = 8.1$
Check: Verify $8.1 = 8\frac{1}{10}$ by converting back: 0.1 = $\frac{1}{10}$ ✓

Common Mistakes

Avoid these frequent errors

Converting the whole number instead of just the fraction
Don't convert the entire mixed number 8 1/10 as if it were just a fraction = 81/10 = 8.1! This creates confusion and extra work. Always convert only the fractional part (1/10 = 0.1) and add it to the whole number (8).

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

Why is 1/10 equal to 0.1?

Think of it this way: 1 divided by 10 equals 0.1. Since 10 is a power of 10, the fraction converts easily - just move the decimal point one place to the left!

Do I always add the decimal to the whole number?

Yes! A mixed number like $8\frac{1}{10}$ means 8 plus 1/10. So you convert the fraction part to decimal and add: $8 + 0.1 = 8.1$ .

What if the denominator isn't 10 or 100?

You can still convert! Divide the numerator by the denominator. For example: $\frac{1}{4} = 1 ÷ 4 = 0.25$ , so $3\frac{1}{4} = 3.25$ .

How can I check if 8.1 is correct?

Convert back! Take 8.1: the whole part is 8, and 0.1 = $\frac{1}{10}$ . So 8.1 = $8\frac{1}{10}$ ✓

Is there a faster way to do this?

For denominators like 10, 100, 1000: just count the zeros! $\frac{1}{10}$ has 1 zero, so 1 becomes 0.1 (move decimal 1 place left).

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