Express 2.55 in Different Mathematical Forms: Decimal Conversion Practice

Decimal to Fraction with Hundredths

Convert into fraction form:

2.55= 2.55=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's convert this to a decimal fraction.
00:08 Match the digits' position after the decimal point with the right division.
00:14 Now, add 2 to the fraction.
00:17 Put the digits in the numerator, and use the division as the denominator.
00:22 Let's change the whole number to a proper fraction.
00:35 Multiply everything by the common denominator.
00:39 And that's how we solve the problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Convert into fraction form:

2.55= 2.55=

2

Step-by-step solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

We will write the fraction in the following way:

255100 \frac{255}{100}

3

Final Answer

255100 \frac{255}{100}

Key Points to Remember

Essential concepts to master this topic
  • Place Value: Two decimal places means denominator is 100
  • Technique: Write 2.55 as 255/100 using all digits
  • Check: Divide 255 ÷ 100 = 2.55 to verify ✓

Common Mistakes

Avoid these frequent errors
  • Using wrong denominator based on decimal places
    Don't use 10 as denominator for 2.55 = 255/10 = 25.5! This ignores the second decimal place. Always count decimal places: two places means divide by 100, three places means divide by 1000.

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?

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Count the decimal places after the decimal point! One place = 10, two places = 100, three places = 1000. Since 2.55 has two decimal places, use 100 as your denominator.

Do I include the whole number part in the numerator?

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Yes! Convert the entire decimal to an improper fraction. For 2.55, think of it as 255 hundredths, so write 255100 \frac{255}{100} .

Should I simplify the fraction?

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The question asks for fraction form, so 255100 \frac{255}{100} is correct as given. You could simplify to 5120 \frac{51}{20} , but the answer choices show unsimplified fractions.

What if I get confused about place values?

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Remember: the first place after decimal is tenths, second place is hundredths, third place is thousandths. Say "2.55 is two and fifty-five hundredths" to help remember!

How can I check if my fraction is correct?

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Divide your numerator by denominator using long division or a calculator. 255100=2.55 \frac{255}{100} = 2.55 ✓ If you get back your original decimal, you're right!

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