Convert Decimal to Fraction: Express 0.55 in Fractional Form

Decimal to Fraction with Place Value Recognition

Convert into fraction form:

0.55= 0.55=

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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 Match the position of digits after the decimal point to the appropriate division
00:10 Place the digits in the numerator, and the appropriate division in the denominator
00:16 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 into fraction form:

0.55= 0.55=

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

Let's write the fraction in the following way:

055100 \frac{055}{100}

We'll then remove the unnecessary zeros as follows:

55100 \frac{55}{100}

3

Final Answer

55100 \frac{55}{100}

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Count decimal places to determine the denominator
  • Technique: Two decimal places means denominator 100, so 0.55 = 55100 \frac{55}{100}
  • Check: Divide 55 by 100 to get 0.55 back ✓

Common Mistakes

Avoid these frequent errors
  • Using wrong denominator based on decimal digits
    Don't count the digits themselves (5, 5) and use 10 as denominator = 5510 \frac{55}{10} = 5.5! This ignores place value positions. Always count decimal places: two places after decimal point means divide by 100.

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 the denominator 100 and not 10?

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The denominator depends on decimal places, not the digits themselves. Since 0.55 has two places after the decimal point, you divide by 10² = 100. One place would be 10, three places would be 1000.

Do I need to simplify the fraction after converting?

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The question asks for fraction form, and 55100 \frac{55}{100} is already correct! However, you could simplify to 1120 \frac{11}{20} by dividing both by 5 if asked for simplest form.

What if there are zeros at the end of the decimal?

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Still count all decimal places! For example, 0.50 has two decimal places, so it becomes 50100 \frac{50}{100} , even though it could simplify to 12 \frac{1}{2} .

How do I remember which denominator to use?

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Think of it as "decimal places = zeros in denominator". One place = 10 (one zero), two places = 100 (two zeros), three places = 1000 (three zeros), and so on!

Can I check my answer by dividing?

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Absolutely! Always verify by dividing the numerator by denominator. If you get back to your original decimal (55 ÷ 100 = 0.55), then you're correct!

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