Convert Mixed Number 4 3/10 to Decimal Form: Step-by-Step Solution

Mixed Numbers with Decimal Conversion

4310= 4\frac{3}{10}=

❤️ 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
00:04 We want to convert the mixed fraction to a decimal fraction.
00:09 First, break it down into a whole number and a fraction.
00:13 Now, change the fraction into a decimal fraction.
00:20 Then, add them up.
00:24 And that's how we find the solution to the problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

4310= 4\frac{3}{10}=

2

Step-by-step solution

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

  • Step 1: Identify the given information
  • Step 2: Convert the fractional part 310\frac{3}{10} to a decimal
  • Step 3: Combine the decimal with the whole number

Now, let's work through each step:
Step 1: We have the mixed number 4310 4\frac{3}{10} . The whole number is 4, and the fraction is 310\frac{3}{10}.
Step 2: Convert 310\frac{3}{10} to a decimal. Since the fraction's denominator is 10, you can directly convert the numerator to a decimal. 310=0.3\frac{3}{10} = 0.3.
Step 3: Combine the whole number 4 with the decimal 0.3. The mixed number 4310 4\frac{3}{10} in decimal form is 4.3 4.3 .

Therefore, the solution to the problem is 4.3 4.3 .

3

Final Answer

4.3 \text{4}.3

Key Points to Remember

Essential concepts to master this topic
  • Rule: Mixed number equals whole number plus fraction as decimal
  • Technique: Convert 310 \frac{3}{10} to 0.3 by dividing 3 ÷ 10
  • Check: Verify 4.3 = 4 + 0.3 = 4310 4\frac{3}{10}

Common Mistakes

Avoid these frequent errors
  • Adding denominator to whole number instead of converting fraction
    Don't add 4 + 10 = 14 or 4 + 3 = 7! This ignores the fractional relationship and gives completely wrong results. Always convert the fraction to decimal first, then add to the whole number.

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 3/10 equal to 0.3?

+

When the denominator is 10, 100, or 1000, converting to decimal is easy! 310 \frac{3}{10} means 3 tenths, which is 0.3 in decimal form.

What if the fraction doesn't have 10 as denominator?

+

You'll need to divide the numerator by the denominator. For example, 14=1÷4=0.25 \frac{1}{4} = 1 ÷ 4 = 0.25 , so 314=3.25 3\frac{1}{4} = 3.25 .

How do I know where to place the decimal point?

+

The decimal point goes between the whole number and the decimal part. For 4310 4\frac{3}{10} , it's 4 (whole) + 0.3 (decimal) = 4.3.

Can I just ignore the whole number part?

+

Never ignore the whole number! It's a crucial part of your answer. The mixed number 4310 4\frac{3}{10} means 4 complete units plus 3 tenths more.

What's the fastest way to convert fractions with denominator 10?

+

Simply move the numerator one decimal place to the right! 310 \frac{3}{10} becomes 0.3, 710 \frac{7}{10} becomes 0.7, and so on.

🌟 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

More Questions

Click on any question to see the complete solution with step-by-step explanations