Convert Decimal 0.91 to Its Fraction Form: Step-by-Step Solution

Q: How do I know what denominator to use?

Count the decimal places after the point! One place = 10, two places = 100, three places = 1000. Since 0.91 has two decimal places, use 100 as denominator.

Q: Do I need to simplify the fraction?

Yes, always check if you can simplify! For $ \frac{91}{100} $, since 91 and 100 share no common factors, it's already in simplest form.

Q: Can I remove the leading zero in the numerator?

Absolutely! Leading zeros are unnecessary. $ \frac{091}{100} $ becomes $ \frac{91}{100} $. This doesn't change the value at all.

Q: How do I check my answer is correct?

Divide the numerator by denominator: 91 ÷ 100 = 0.91. If you get back your original decimal, you're right!

Decimal Conversion with Two-Digit Decimals

Convert into fraction form:

$0.91=$

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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:

$0.91=$

Step-by-step solution

Note 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:

$\frac{091}{100}$

Finally let's remove the unnecessary zeros as follows:

$\frac{91}{100}$

Final Answer

$\frac{91}{100}$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Two decimal places means denominator of 100
Technique: Write 0.91 as $\frac{91}{100}$ directly
Check: Verify $\frac{91}{100} = 0.91$ by dividing 91 ÷ 100 ✓

Common Mistakes

Avoid these frequent errors

Using wrong denominator based on decimal digits
Don't count the digits after decimal point incorrectly = wrong denominator! Writing 0.91 as $\frac{91}{10}$ gives 9.1, not 0.91. Always use 10 for one decimal place, 100 for two decimal places, 1000 for three decimal places.

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 point! One place = 10, two places = 100, three places = 1000. Since 0.91 has two decimal places, use 100 as denominator.

Do I need to simplify the fraction?

Yes, always check if you can simplify! For $\frac{91}{100}$ , since 91 and 100 share no common factors, it's already in simplest form.

What if the decimal has zeros after it?

Trailing zeros don't count! For example, 0.910 is the same as 0.91, so you still get $\frac{91}{100}$ . Only count significant decimal places.

Can I remove the leading zero in the numerator?

Absolutely! Leading zeros are unnecessary. $\frac{091}{100}$ becomes $\frac{91}{100}$ . This doesn't change the value at all.

How do I check my answer is correct?

Divide the numerator by denominator: 91 ÷ 100 = 0.91. If you get back your original decimal, you're right!

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