Convert Decimal 0.65: Finding Equivalent Number Forms

Q: How do I know what denominator to use?

Count the decimal places after the decimal point! For 0.65, there are 2 decimal places, so use 100 as denominator. Remember: 1 place = 10, 2 places = 100, 3 places = 1000.

Q: Do I need to simplify the fraction?

The question asks for fraction form, and $ \frac{65}{100} $ is correct! You could simplify to $ \frac{13}{20} $ by dividing by 5, but the unsimplified form is perfectly acceptable.

Q: What if there are zeros in the decimal?

Include them in your fraction! For example, 0.05 becomes $ \frac{05}{100} $ or $ \frac{5}{100} $. The number of decimal places determines the denominator, not the actual digits.

Q: Can I check if my fraction is right?

Yes! Simply divide the numerator by the denominator. For $ \frac{65}{100} $, calculate 65 ÷ 100 = 0.65. If you get back your original decimal, you're correct!

Q: What about decimals with more places like 0.375?

Same rule applies! Count decimal places: 0.375 has 3 places, so write $ \frac{375}{1000} $. The pattern continues: more decimal places = more zeros in denominator.

Decimal to Fraction with Hundredths Place

Convert into fraction form:

$0.65=$

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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

00:06 Add 0 to the fraction

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

Understand the problem

Convert into fraction form:

$0.65=$

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 as follows:

$\frac{065}{100}$

Finally We'll remove the unnecessary zeros as follows:

$\frac{65}{100}$

Final Answer

$\frac{65}{100}$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Two decimal places means denominator is 100
Technique: Write 0.65 as $\frac{65}{100}$ directly from digits
Check: Divide 65 ÷ 100 = 0.65 to verify conversion ✓

Common Mistakes

Avoid these frequent errors

Using wrong denominator for decimal places
Don't count decimal places incorrectly and use 10 instead of 100 = $\frac{65}{10}$ = 6.5! This happens when you miscount place values. Always match decimal places to denominator: 1 place = 10, 2 places = 100, 3 places = 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?

Count the decimal places after the decimal point! For 0.65, there are 2 decimal places, so use 100 as denominator. Remember: 1 place = 10, 2 places = 100, 3 places = 1000.

Do I need to simplify the fraction?

The question asks for fraction form, and $\frac{65}{100}$ is correct! You could simplify to $\frac{13}{20}$ by dividing by 5, but the unsimplified form is perfectly acceptable.

What if there are zeros in the decimal?

Include them in your fraction! For example, 0.05 becomes $\frac{05}{100}$ or $\frac{5}{100}$ . The number of decimal places determines the denominator, not the actual digits.

Can I check if my fraction is right?

Yes! Simply divide the numerator by the denominator. For $\frac{65}{100}$ , calculate 65 ÷ 100 = 0.65. If you get back your original decimal, you're correct!

What about decimals with more places like 0.375?

Same rule applies! Count decimal places: 0.375 has 3 places, so write $\frac{375}{1000}$ . The pattern continues: more decimal places = more zeros in denominator.

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