Express the Decimal Number: Writing 2.03 in Different Forms

Q: How do I know what denominator to use?

Count the decimal places! One decimal place = 10, two decimal places = 100, three = 1000. Since 2.03 has two decimal places, use 100 as your denominator.

Q: What if the decimal has zeros at the end?

Zeros at the end of a decimal don't change the value. For example, 2.030 still equals $ 2\frac{3}{100} $ because the zero doesn't add value.

Q: Can I simplify the fraction part?

Always check if you can simplify! In this case, $ \frac{3}{100} $ cannot be simplified because 3 and 100 share no common factors other than 1.

Q: What's the difference between a mixed number and improper fraction?

A mixed number like $ 2\frac{3}{100} $ shows the whole number separately. An improper fraction would be $ \frac{203}{100} $ - same value, different form!

Q: How do I convert back to check my answer?

Add the whole number and fraction: $ 2 + \frac{3}{100} = 2 + 0.03 = 2.03 $. If you get the original decimal, you're correct!

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to mixed number

00:03 Break down the number into whole number and remainder

00:08 Convert the remainder to a fraction

00:12 Combine into a mixed number

00:19 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

$2.03=$

2

Step-by-step solution

To convert the decimal $2.03$ into a mixed number, we follow these steps:

Step 1: Identify the integer part of the decimal. In $2.03$ , the integer part is $2$ .
Step 2: Identify the fractional part of the decimal. The decimal $0.03$ is equivalent to $\frac{3}{100}$ since it is in the hundredths place.
Step 3: Combine the integer part and the fractional part to form a mixed number. Therefore, $2.03$ can be written as $2 + \frac{3}{100} = 2\frac{3}{100}$ .

The solution to the problem is therefore $2\frac{3}{100}$ .

3

Final Answer

$2\frac{3}{100}$

Key Points to Remember

Essential concepts to master this topic

Place Value: Identify the decimal places to determine the denominator
Technique: 0.03 has 2 decimal places, so use 100 as denominator
Check: Convert back: $2\frac{3}{100} = 2 + 0.03 = 2.03$ ✓

Common Mistakes

Avoid these frequent errors

Confusing decimal places with numerator values
Don't use 0.03 as $\frac{03}{10}$ or count wrong decimal places = wrong denominator! The decimal 0.03 is in hundredths place, not tenths. Always count decimal places carefully: 2 places means denominator is 100.

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

How do I know what denominator to use?

+

Count the decimal places! One decimal place = 10, two decimal places = 100, three = 1000. Since 2.03 has two decimal places, use 100 as your denominator.

What if the decimal has zeros at the end?

+

Zeros at the end of a decimal don't change the value. For example, 2.030 still equals $2\frac{3}{100}$ because the zero doesn't add value.

Can I simplify the fraction part?

+

Always check if you can simplify! In this case, $\frac{3}{100}$ cannot be simplified because 3 and 100 share no common factors other than 1.

What's the difference between a mixed number and improper fraction?

+

A mixed number like $2\frac{3}{100}$ shows the whole number separately. An improper fraction would be $\frac{203}{100}$ - same value, different form!

How do I convert back to check my answer?

+

Add the whole number and fraction: $2 + \frac{3}{100} = 2 + 0.03 = 2.03$ . If you get the original decimal, you're correct!

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Express the Decimal Number: Writing 2.03 in Different Forms

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