Convert 44.01 to Mixed Number: Decimal to Fraction Exercise

Q: How do I know how many decimal places to use?

Look at the denominator! If it's 10, use 1 decimal place. If it's 100, use 2 decimal places. If it's 1000, use 3 decimal places. The denominator tells you exactly where to place the digit!

Q: What if the fraction part has a larger numerator?

The same rule applies! For example, $ 44\frac{25}{100} $ becomes $ 44 + 0.25 = 44.25 $. Just convert the fraction part to decimal and add it to the whole number.

Q: How do I check if my decimal answer is correct?

Convert your decimal back to a mixed number! 44.01 should give you $ 44\frac{1}{100} $. The 0.01 part represents 1 hundredth, which is $ \frac{1}{100} $.

Q: What's the difference between 44.01 and 44.1?

44.01 means 44 and 1 hundredth, while 44.1 means 44 and 1 tenth. That's a big difference! $ 44\frac{1}{100} $ specifically means hundredths, so you need 44.01.

Mixed Number Conversion with Hundredths

$44\frac{1}{100}=$

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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 the number into whole number and fraction

00:11 Convert to decimal fraction

00:21 Add

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

$44\frac{1}{100}=$

Step-by-step solution

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

Step 1: Identify the fraction part of the mixed number, which is $\frac{1}{100}$ .
Step 2: Convert $\frac{1}{100}$ to its decimal form.
Step 3: Combine this decimal with the whole number part $44$ .

Now, let's work through each step:
Step 1: The mixed number is $44\frac{1}{100}$ . The fraction $\frac{1}{100}$ represents one hundredth, converting directly to $0.01$ in decimal form.
Step 2: Adding this decimal to the whole number 44, we get $44 + 0.01 = 44.01$ .

Therefore, the solution to the problem is $44.01$ .

Final Answer

$44.01$

Key Points to Remember

Essential concepts to master this topic

Rule: Mixed numbers equal whole number plus fractional part
Technique: Convert $\frac{1}{100}$ directly to 0.01 decimal
Check: Verify 44 + 0.01 = 44.01 matches the mixed number ✓

Common Mistakes

Avoid these frequent errors

Misplacing decimal point when converting fractions with denominators like 100
Don't convert $\frac{1}{100}$ to 0.1 = wrong decimal place! This gives 44.1 instead of 44.01. Always count decimal places: hundredths means two places after decimal, so $\frac{1}{100} = 0.01$ .

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 know how many decimal places to use?

Look at the denominator! If it's 10, use 1 decimal place. If it's 100, use 2 decimal places. If it's 1000, use 3 decimal places. The denominator tells you exactly where to place the digit!

What if the fraction part has a larger numerator?

The same rule applies! For example, $44\frac{25}{100}$ becomes $44 + 0.25 = 44.25$ . Just convert the fraction part to decimal and add it to the whole number.

Can I simplify the fraction first before converting?

You can, but it's often easier to work with denominators like 10, 100, or 1000 directly. $\frac{1}{100}$ is already in simplest form and converts easily to 0.01.

How do I check if my decimal answer is correct?

Convert your decimal back to a mixed number! 44.01 should give you $44\frac{1}{100}$ . The 0.01 part represents 1 hundredth, which is $\frac{1}{100}$ .

What's the difference between 44.01 and 44.1?

44.01 means 44 and 1 hundredth, while 44.1 means 44 and 1 tenth. That's a big difference! $44\frac{1}{100}$ specifically means hundredths, so you need 44.01.

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