Convert Decimal 4.27 to a Fraction: Step-by-Step Solution

Convert 4.27 into a fraction.

❤️ 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 mixed fraction
00:03 First convert to fraction
00:06 The denominator depends on the number of digits after the decimal point
00:09 There are 2 digits, so the denominator will be 100
00:13 Place the digits as a whole number in the numerator
00:19 Break down 427 to 400 plus 27
00:28 Break the fraction into 2 fractions, the whole fraction and remainder
00:40 Reduce what's possible
00:50 Combine into mixed fraction
00:55 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Convert 4.27 into a fraction.

2

Step-by-step solution

To convert the decimal 4.27 into a fraction, follow these steps:

  • Step 1: Identify the whole number and decimal separately.
    The given number is 4.27, where 4 is the whole number, and 0.27 is the decimal part.
  • Step 2: Convert the decimal part into a fraction.
    The decimal 0.27 can be written as 27100\frac{27}{100} because the "7" is in the hundredths place. Therefore, 0.27 is equivalent to 27100\frac{27}{100}.
  • Step 3: Combine the whole number and the fraction.
    Since the whole number is 4, the mixed number combining these components is 4271004\frac{27}{100}.

Therefore, 4.27 as a fraction is 427100 4\frac{27}{100} .

The correct answer among the choices provided is choice 1: 427100 4\frac{27}{100} .

3

Final Answer

427100 4\frac{27}{100}

Practice Quiz

Test your knowledge with interactive questions

How much of the whole does the shaded area (blue) represent?

🌟 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