Convert Mixed Number to Decimal: 10⅕ Solution

Q: How do I convert 1/5 to a decimal without a calculator?

Think of equivalent fractions! Since $ \frac{1}{5} = \frac{2}{10} $, and tenths are easy to write as decimals, you get 0.2. You can also use long division: 1 ÷ 5 = 0.2.

Q: What if the fraction doesn't convert to a nice decimal?

Some fractions create repeating decimals like $ \frac{1}{3} = 0.333... $ You can round to a reasonable number of decimal places or leave it as a fraction if that's more accurate.

Q: Why is 10⅕ not equal to 10.5?

$ \frac{1}{5} $ equals 0.2, not 0.5! Remember: $ \frac{1}{2} = 0.5 $ but $ \frac{1}{5} = 0.2 $. Always convert the fraction carefully before adding to the whole number.

Q: Can I just multiply the whole number by the fraction?

No! Mixed numbers mean addition, not multiplication. $ 10\frac{1}{5} $ means 10 + $ \frac{1}{5} $, not 10 × $ \frac{1}{5} $.

Q: How do I check if 10.2 is correct?

Convert back! Take 0.2 and turn it into a fraction: 0.2 = $ \frac{2}{10} = \frac{1}{5} $. Then 10.2 = 10 + $ \frac{1}{5} $ = $ 10\frac{1}{5} $ ✓

Mixed Number Conversion with Decimal Form

$10\frac{1}{5}=$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

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

00:08 Convert from whole number to proper fraction

00:19 Add with common denominator

00:23 Change the fraction so denominator is 10

00:26 Make sure to multiply both numerator and denominator

00:34 Convert from fraction to decimal fraction

00:40 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

$10\frac{1}{5}=$

Step-by-step solution

Let's solve the problem step-by-step:

Step 1: Identify the mixed number.
The number given is $10\frac{1}{5}$ , which means 10 plus the fraction $\frac{1}{5}$ .
Step 2: Convert the fraction to a decimal.
The fraction $\frac{1}{5}$ can be converted to a decimal by understanding or recognizing that $\frac{1}{5}$ is equivalent to 0.2. This is because dividing 1 by 5 gives us 0.2.
Step 3: Combine the whole number and decimal.
Add the decimal obtained from the fraction to the whole number: $10 + 0.2 = 10.2$ .

Thus, the mixed number $10\frac{1}{5}$ is converted to the decimal $10.2$ .

Final Answer

$10.2$

Key Points to Remember

Essential concepts to master this topic

Mixed Number Structure: Whole number plus fractional part equals total value
Fraction to Decimal: Divide numerator by denominator: 1÷5 = 0.2
Verification: Check by converting back: 10.2 = 10 + 0.2 = $10\frac{1}{5}$ ✓

Common Mistakes

Avoid these frequent errors

Converting only the fraction part and forgetting the whole number
Don't just convert 1/5 = 0.2 and stop there! This gives you 0.2 instead of 10.2, missing the whole number completely. Always add the whole number to your converted fraction: 10 + 0.2 = 10.2.

Practice Quiz

Test your knowledge with interactive questions

Convert into fraction form:

$$ 0.38= $$

FAQ

Everything you need to know about this question

How do I convert 1/5 to a decimal without a calculator?

Think of equivalent fractions! Since $\frac{1}{5} = \frac{2}{10}$ , and tenths are easy to write as decimals, you get 0.2. You can also use long division: 1 ÷ 5 = 0.2.

What if the fraction doesn't convert to a nice decimal?

Some fractions create repeating decimals like $\frac{1}{3} = 0.333...$ You can round to a reasonable number of decimal places or leave it as a fraction if that's more accurate.

Why is 10⅕ not equal to 10.5?

$\frac{1}{5}$ equals 0.2, not 0.5! Remember: $\frac{1}{2} = 0.5$ but $\frac{1}{5} = 0.2$ . Always convert the fraction carefully before adding to the whole number.

Can I just multiply the whole number by the fraction?

No! Mixed numbers mean addition, not multiplication. $10\frac{1}{5}$ means 10 + $\frac{1}{5}$ , not 10 × $\frac{1}{5}$ .

How do I check if 10.2 is correct?

Convert back! Take 0.2 and turn it into a fraction: 0.2 = $\frac{2}{10} = \frac{1}{5}$ . Then 10.2 = 10 + $\frac{1}{5}$ = $10\frac{1}{5}$ ✓

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Basic questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime